Employment and Wages in the Public Sector
A Cross-Country Study

We study the determinants of employment and wages in the public sector, using a new set of panel data for 34 LDCs and 21 OECD countries from 1972–992, by estimating equations suggested by an efficiency wage model. We find that government employment is positively associated with the relaxation of resource constraints (the revenue-to-GDP ratio and foreign financing in the case of developing countries and GDP per capita in the case of OECD countries), urbanization, the level of education, and certain countercyclical pressures for government hiring (the real effective exchange rate for developing countries and private employment for OECD countries). Certain measures of government wages are positively associated with government revenues and negatively associated with the level of education, government debt, and countercyclical pressures.

Abstract

We study the determinants of employment and wages in the public sector, using a new set of panel data for 34 LDCs and 21 OECD countries from 1972–992, by estimating equations suggested by an efficiency wage model. We find that government employment is positively associated with the relaxation of resource constraints (the revenue-to-GDP ratio and foreign financing in the case of developing countries and GDP per capita in the case of OECD countries), urbanization, the level of education, and certain countercyclical pressures for government hiring (the real effective exchange rate for developing countries and private employment for OECD countries). Certain measures of government wages are positively associated with government revenues and negatively associated with the level of education, government debt, and countercyclical pressures.

I. Introduction

In this paper, we study the determinants of employment and wages in the public sector, using a new set of panel data for 34 LDCs and 21 OECD countries from 1972-1992. The estimated equations are based on an efficiency wage model for the public sector and include proxy variables for financial constraints and unemployment. The paper compares and contrasts the results in the LDCs with those for the OECD countries.

Employment and wage policy in the public sector has attracted considerable attention in the policy literature. A recent series of studies by the International Labor Office, including ILO (1983, 1988, 1989), Ozaki (1988), Collier (1988), Edgren (1988), Robinson (1990) and Chew (1992) has provided a wealth of country-specific analysis on employment conditions in the public sector. Employment in the public sector in developed economies is considered in OECD (1983). Issues in public service reform in the context of structural adjustment are also considered by United Nations (1985), Lindauer (1986, 1988), Schiller (1988), Nunberg and Nellis (1990), Stevenson (1992), and Lindauer and Nunberg (1994). Some theoretical attention has also been paid to the determination of public sector employment. Broadway, Marchand, and Pestieau (1988) study optimal public sector employment policies in a shirking model. Gemmel (1989) considers the incentives for public sector expansion, while Gelb, Knight, and Sabot (1991) examine the dynamic social costs to unproductive public service expansion in response to interest group pressures.

However, there are few cross-country empirical studies of the determinants of employment and wage policy. The studies to date are Heller and Diamond (1990) and Hewitt and Van Rijckeghem (1995), which study the factors influencing the central government wage bill for a large cross-section of countries and Heller and Tait (1983), which considers the determination of government employment and wages separately, by level of government and by functional category. 3/ The explanatory variables in Heller and Tait include per capita income, population, the economic system, and the share of public sector employment in nonagricultural employment.

This study builds on the work of Heller and Tait using a new data panel on employment and wages, which draws on a variety of published and unpublished sources. 4/ Because the data are available for a relatively long period, factors such as countercyclical pressures for government hiring can be investigated. We also include additional variables, including the revenue-to-GDP ratio and the level of education.

The remainder of the paper is organized as follows. Section II describes the data sources and methodology. Section III gives an overview of the determinants of public sector wages and employment and presents an efficiency wage model of the public sector labor market (the case of a government with an employment objective is discussed in Appendix I). Section IV provides an overview of the data and of important relations between public sector employment and wages. Section V gives the estimating equations and empirical results for several specifications using both crosscountry averages and fixed effects estimation. Section VI concludes. The paper includes a description of our sources (Appendix II), and country-averages for the important variables (Appendix III).

II. Data Sources and Methodological Issues

There is no standardized source for cross-country reporting of employment and compensation in the public sector. A wealth of data exists in the form of country-specific studies, published and unpublished government documents such as budgets and civil services censuses, and documents relating to the involvement of multilateral organizations like the IMF and the World Bank. However, these sources suffer from some serious limitations. The first and most basic limitation is one of cross-country comparability. The coverage of government employment data is often limited to the central government. This greatly limits their usefulness, given important differences in the size of local and provincial governments across countries. Further, data may or may not include military personnel. The same applies to budgetary and off-budget semi - governmental bodies (for example, institutions for higher education), which may or may not be considered as part of government. Definitions of public enterprises are equally difficult, given the many different forms and degrees of public participation in enterprises. Data on wage levels also suffer from the lack of comparability. In some countries, the wage level is obtained by dividing wage expenditures by employment. However, wage expenditures may exclude expenditures financed from extra-budgetary sources or higher levels of government, leading to measurement errors in the wage level variable. The second problem is that virtually all published sources present data for a single year. Since methodologies may vary greatly between various sources for the same country, comparisons over time are problematic. 5/

This study relies heavily on the IMF’s unpublished internal time-series data on public sector employment and wages. We expect that many of the problems of comparability occur in our data set, so that all results should be interpreted cautiously.

Three other issues are noteworthy. First, the quality of the data on public sector employment and wages is uncertain in countries where personnel management and payroll procedures in the public sector are inadequate. In these countries, the authorities may simply not know how many individuals are on the public payroll, or whether positions on the payroll actually exist or are filled. Indeed, the first step in World Bank civil service reform projects is often a public service census aimed at identifying and eliminating so-called “ghosts” from the payroll. 6/ Data on compensation are also difficult to gather in this setting, since in many developing countries, a significant portion of public servants’ compensation comes in the form of in-kind benefits such as access to special housing, transportation, etc. Even if such nonwage benefits could be adequately measured, the problem of illicit compensation remains. In some countries, a job in government gives access to opportunities for corrupt behavior such as bribe-taking or kickbacks which may constitute a significant, and of course unreported, source of income for civil servants.

Second, a number of issues which are particularly of interest cannot be addressed because of the relatively aggregated nature of the data which we have collected. Average employment levels disguise wide differences in types of jobs (professional, clerical, manual) and in worker characteristics, such as education. Data on average wages do not permit the analysis of pay structure and compression of salary scales which are especially relevant in countries where the civil service often has difficulty in attracting qualified employees.

Third, there may be an element of sample selection bias in our choice of countries. For those countries where data are available, it may be so for one of two reasons. The first is that the government in question has a well-developed payroll or reporting system, and hence the data are readily available. The second reason is that there is particular concern about excessive and unsustainable public sector pay and employment policies, and so data are collected for the purpose of diagnosing the extent of the problem. Since the countries in our sample were primarily chosen on the basis of data availability, these two factors may lead to a group of countries which is less than representative of the full range of countries.

Our panel data set covers 34 developing countries and 21 OECD economies over the period 1972-1992. The principal series, subject to availability, include employment at the central and local government levels and in the public enterprise sector, corresponding annual wages, a number of indicators of fiscal pressures (revenues, foreign financing, and debt), and a number of private sector labor market indicators (private sector employment and private sector wages). Appendix II presents the sources of data.

III. The Determinants of Public Sector Employment and Wages

In this section we survey some of the theoretical literature on the determination of public sector employment and wages. We then present a formal model of employment and wage determination which highlights some of the efficiency considerations faced by governments which optimally choose employment and wages.

1. Factors influencing public sector employment and wages

a. Functional-technological approach

Certain functional aspects of government activity can be thought of as being determined by relatively exogenous demand-side factors. For example, a large school-aged population creates a need for teachers, or a large geographic area increases the demand for border guards, customs agents, etc. Urbanization increases the demand for certain kinds of services, such as roads, sewers, police protection, etc., although urbanization is less likely to be strictly exogenous, since government services may be a factor causing migration to urban areas. This functional approach is taken by Heller and Diamond (1990) to explain public expenditures disaggregated by functional category.

On the supply-side, the relative labor-intensity of the provision of public services may be determined by the over-all capital-labor ratio or the scarcity of human capital in the economy. Additionally, provision of public services may be characterized by increasing returns to scale, suggesting that increased population lowers the demand for public service labor per capita.

b. Short-term factors: fiscal pressures and political economy

A number of external constraints may directly affect the government’s demand for public sector employment. Budgetary pressures, as proxied by budget deficits, debt-service obligations, or adjustment programs, may lead to a reduction of public sector employment or lower wages. On the other hand, access to foreign financing may soften budget constraints and enable a government to create more jobs or raise wages in the public sector. The patterns of real wage and employment growth presented in the next section suggest that often it is wages which bear the brunt of adjustment. This is consistent with anecdotal evidence that, for political reasons, governments are typically reluctant to cut public sector jobs. When faced with budgetary pressures, investment expenditures and nonwage current expenditures are politically much easier to reduce than employment. Even when the wage bill is cut, it often is easier to reduce wages rather than employment, with corresponding negative effects on efficiency and productivity in the bureaucracy.

Political pressures may also contribute positively to public sector employment. Strikes or riots may prompt job creation schemes by the government in the hopes of quelling unrest. Less dramatically, high unemployment rates may also raise demand for public sector jobs as a counter-cyclical device, while high unemployment in the private sector may also increase the supply of public-sector job-seekers. However, since the public sector is often the principal employer in the formal sector in many developing countries, the unemployment rate cannot be thought of as an exogenous explanatory variable. Political systems may also influence both employment and wages. The degree of decentralization of power affects the mix of central and local government employment. The political ideology of a regime may have significant effects on the size of the public enterprise sector. The degree of democracy of a regime may also affect public sector job creation, although a priori the sign of the effect is unclear. It might be argued that democratic regimes need to create public sector jobs to “buy” votes; however, there are many cases of job creation for political reasons under populist and authoritarian regimes.

The IMF supports member countries in implementing policies aimed at reducing macroeconomic imbalances. Most of the countries implementing IMF-supported programs face a large fiscal imbalance. Such imbalances may arise, inter alia, from extensive budgetary subsidies associated with distorted prices and/or excessive and inefficient government employment programs; the latter are often associated with low and uncompetitive government wages. Fund-supported stand-by arrangements generally are of a short duration, and their policy instruments are often limited to those that are macroeconomic in nature; the programs are not aimed at supporting any specific structural reform measures, such as civil service reforms. Fund programs supported by the SAF and the ESAF focus on medium-term measures aimed at structural reforms, such as reforms of pricing, trade, banking, and public finances, including civil service reforms. 7/ In view of their longer duration (generally three years) and the incorporation of civil service reforms in such programs, countries supported by SAF and ESAF programs tend to be more successful in reducing excessive government employment, though the strength of the association may depend, inter alia, on the political constraints faced by the governments. 8/ With the focus on civil service efficiency, countries implementing SAF/ESAF programs will tend to increase public sector wages, so as to make wages competitive with the private sector and increase morale and productivity of employees. Because civil service employment reductions are politically difficult, countries with stand-by programs facing budgetary pressures are likely (in view of their short-term macroeconomic focus) to have relatively less opportunity to pursue such policies.

c. Long-term factors: Wagner’s Law and incentives for public sector expansion

Economic development and public sector employment could be correlated for a number of reasons first put forth by Adolph Wagner in the 1880s. He postulated that economic development would be accompanied by a rising share of public expenditure in GNP. He saw three main reasons for this: (1) a relative increase in the costs of public administration, law and order and the regulation of economic activity as the economy develops; (2) more than proportional expenditures on cultural and welfare activities provided by the state (i.e., these are luxury goods); and (3) a rise in industrial monopolies which would require regulation by the state. 9/

On the other hand, it may be argued that there is a trend for public sector employment to grow over time due to an inherent tendency of bureaucracies to expand, independently of the level of income. The conventional wisdom is that public sector employees’ interests are served by a continually expanding bureaucracy. Certainly, anecdotal evidence of nepotistic creation of public sector jobs supports this conclusion. However, the theoretical argument is hardly unambiguous. Gemmel (1990) presents a two-sector model in which public sector activity may lower the productivity of the private sector, and since wages are determined competitively, public servants oppose expanding the public sector since it lowers the wage rate. A more convincing argument relies on insider-outsider models of union membership. Public sector employment gives the individual access to rents, either through the possibility of corruption, or else through the monopoly rents conferred through membership in a public sector union. Insiders (public sector employees) have the incentive to restrict insider membership to prevent the dilution of these rents. This suggests that a measure of public sector unionization may negatively affect public sector employment.

A panel data set permits the separation of the time and income effects in the determination of public sector employment, and hence sheds light on these alternative views of the factors affecting public sector employment. Although the simple correlations presented below in Section IV.1 suggest the existence of both time and income effects, the partial effects of income and time will be considered in a more fully-specified model in Section V.

Economic development could lead to lower government wages relative to private sector wages for two reasons. First, economic development implies a reduction in scarcity of human capital. An increase in the supply of skilled workers will reduce their wage premium. If government employs more highly skilled workers than the private sector, the wage premium in government should fall. Second, the sectors employing skilled workers expand with economic development. This implies an increase in the productivity level and wages in the private sector, again reducing relative wages in government.

2. An efficiency wage model of the public sector

In this section, we present a simple model of public sector employment and wage determination. The primary purpose of this model is to derive the optimal employment and wage policy of the government when the labor market is characterized by efficiency wages, and to show how these policies are influenced by unemployment and fiscal constraints. We assume a public sector which produces public goods using efficiency units of labor, and a private sector which produces a final consumption good using efficiency units of labor and the public good. The government levies lump-sum taxes on the private sector to finance the public sector wage bill and must balance its budget. The government’s objective is to maximize a weighted average of after-tax incomes and employment. In this stylized world, we show that (a) high public sector employment and low wages may be the outcome of optimizing behavior by government, (b) the existence of an employment objective by the government always lowers public sector wages and increases the public-private employment ratio, and (c) fiscal constraints may or may not affect the optimal choice of wages, depending on whether or not the government has employment objectives, while they do affect the choice of government employment.

There are two reasons for choosing an efficiency wage framework. First, it allows us to formalize the idea that wages affect effort. Examples of this linkage are the moonlighting and corruption commonly associated with declining real average civil service wages and wage compression. 10/ Second, from a modelling perspective, efficiency wages in the private sector provide a simple way to introduce unemployment to the model. This permits us to examine how the government’s behavior changes when, for policy reasons, it tries to reduce unemployment via job creation programs.

On the other hand, we abstract from issues of labor supply and the choice individuals make to seek private versus public sector jobs, by simply assuming that labor, although not effort, is inelastically supplied. This is not really problematic, as it is likely that governments never face a shortage of workers, although they often face a shortage of motivated or skilled workers. We assume further that there is a sufficiently large labor force that both the public and private sectors are always on their labor demand curves.

Formally, suppose that the government sector produces public services, G, using efficiency units of labor, eG(wG)LG, where wG and LG are wages and employment in the government sector, and eG is an effort function with eG>0, eG'>0, eG''<0. Production of government services is subject to diminishing returns, and the production function is assumed to be of the form:

G=(eG(wG)LG)α(1)

where 0<α<1. The government levies lump-sum taxes, T, on the private sector, with collection costs C=øT and the balanced-budget requirement implies that wGLG=(1-ø)T.11/

The private sector also employs efficiency units of labor to produce final output Y, where the effort function ep(wp) may differ from that of the government sector. The key assumption here is that firms take the level of government services as given in their employment and wage decision. Output in the private sector is thus given by

Y=K(eP(wP)LP)βG1β(2)

where K is a constant reflecting the scale of output.

We assume that the government maximizes a linear combination of output net of tax collection costs (Y-øT) 12/ and employment, so that its problem

Max<wG,LG>(1θ)+θ(LG+LP)(3)

We consider two variants on this problem. In the first, presented below, only the government sets efficiency wages; the private sector sets the wage equal to the marginal product of labor. Because there is no unemployment in this case, the government employment objective has no impact. In the second, which we relegate to Appendix I, both government and private sector pay efficiency wages. In this case, there is unemployment, which the government tries to reduce. For each variant, we consider two cases. In the first, the government faces no constraints on the revenue it can raise from taxation, while in the second case, it faces an exogenous revenue constraint. The first case serves as a benchmark of optimal behavior, while the second allows us to consider the deviations from this employment and wage benchmark caused by fiscal pressures.

a. Unconstrained government

For some preliminary results, consider the simple case in which effort in the private sector does not depend on wages. There is no unemployment, since the private sector simply hires the residual of government employment (Lp=L-LG, where L is the labor force), and pays labor its marginal product. Accordingly, the government’s problem is to

Max<wG,LG>K(LLG)β(eG(wG)LG)α(1β)ø/(1ø)wGLG(4)

Note that, somewhat implausibly, the government accounts for the fact that hiring public servants draws labor away from the private sector. We first assume an isoelastic effort function e(wG)=wGγ, γ<1, for tractability. The optimal allocation of labor and wages by the government is:

wGwP=γ1γ1øøLGLP=(1γ)α(1β)β(5)

As 7 tends to one (effort is highly responsive to wages in the public sector), public sector wages are high relative to the private sector and employment is low. It is also straightforward to show that government wages relative to income per capita are also increasing in the elasticity of effort with respect to wages, and employment relative to total employment is declining in 7. Finally, the government wage bill relative to the private sector wage bill can be found by multiplying the two expressions in (5) to obtain:

wGLGwPLP=γ(1ø)øα(1β)β(6)

If γ is low, it is optimal for the government to concentrate production in the private sector.

This simple framework raises the possibility that the often observed syndrome of high public sector employment and low wages is due to effort not being highly responsive to the wage. while a low response of effort to the wage could be rationalized based on employment security in the public sector (through tenure or because of the difficulty of monitoring productivity in government), we do not consider this to be the whole story. Evidence of moonlighting prevalent among underpaid civil service workers suggests that effort is in fact responsive to the level of compensation, and that public sector wages may be suboptimal.

Using a general effort function eG, with elasticity of effort with respect to the wage of γ(wG) one finds:

1γ(wG)=1+(1ø)øwPwG(7)

In the standard efficiency wage problem, the wage has to be such that the elasticity of effort with respect to the wage is equal to 1. Here, the government sets the wage so that the elasticity of effort with respect to the wage is smaller than 1. This implies a higher wage than in the standard efficiency wage problem as long as the elasticity of effort is a negative function of the wage. This is because the government takes into account the fact that government employment draws labor away from the private sector. Hence the premium on the wage as a means of increasing production.

b. Revenue-constrained government

If the government is resource constrained in that the taxes, T, which it can raise are binding, then it can be shown that the optimal choice of employment remains unchanged, and that wages are now given by

wG=(1ø)TL(β+(1γ)α(1β)(1γ)α(1β))(8)

Thus, in this simple case, we see that fiscal pressures influencing the resource constraint will only affect the level of wages, and not employment or the public/private employment ratio. With a more general effort function, where the elasticity of effort with respect to the wage is a function of the wage, rather than a constant, however, fiscal pressures do influence government employment.

The more complicated case of efficiency wages in both sectors is presented in Appendix I, which shows that full-employment considerations and fiscal constraints can lead to failures of the usual efficiency wage criterion, resulting in wages below the optimal level where the elasticity of effort with respect to the wage equals one.

IV. Trends in Public Sector Employment and Wages. 1972-1992

In this section, we describe the available evidence on employment and wages at the various levels of the public sector. We then use simple regressions for central government employment and wages to present some of the basic correlations between government employment, wages, national income, and time. Finally, to highlight the influence of adjustment programs on the components of the wage bill, we decompose changes in the real wage bill into changes in employment and changes in real wages, controlling for these programs.

1. Levels and trends

For the developing countries in our sample, average central government employment per thousand population during 1972-1992 was 22. 13/ Over the same period, central government employment constituted about 28 percent of formal sector employment (Table 1). Employment per thousand population was less in Sub-Saharan Africa (18 per thousand), as one would expect based on levels of income and development. Central government employment in Sub-Saharan Africa constituted a higher share of formal sector employment (35 percent), though care is necessary in interpreting this result because of the quality of the data used for formal sector employment. 14/ General government employment per thousand population was 71 in our sample of OECD countries –much above the average in developing countries. Only some of the difference is attributable to the broader definition of government employment for OECD countries. On the conservative assumption that central government constitutes only half of general government employment in developing countries, general government employment in OECD countries would still be almost twice as high as in developing countries. The share of general government employment in total employment, at 17 percent, was lower in OECD countries than the share of central government employment in total formal sector employment in developing countries, reflecting the small degree of formality of employment in developing countries.

Table 1.

Government Employment and Wages: Sample Statistics

(Unweighted averages of country means)

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Source: Appendices II and III.

Share in total employment for OECD countries and for Bolivia, Egypt, Indonesia, Kenya, Mauritius Morocco Myanmar and Suriname

While caution is required in interpreting the results because of variation in the countries included in the sample over time, the simple averages seem to indicate that there is a positive trend in both employment per thousand population and employment as a share of formal sector employment. Comparing 1972-1980 and 1981-1992, we find an increase in employment per thousand population from 21 per thousand to 23 per thousand in developing countries. Employment as a percent of formal sector employment increases from 23 to 28 percent. These trends are also present for Sub-Saharan Africa and the OECD. They are consistent with a number of views, including the view that bureaucracies expand over time and that governments hire counter-cyclically, though they are not consistent with the expected response to the debt crisis. 15/ In the next sub-section, we confirm the presence of a positive time trend in government employment for developing countries, controlling for the country composition of the sample.

Data for employment at levels of government other than central government are very scarce for developing countries. Central government employment constitutes 44 percent, local government 29 percent, and public enterprise employment 25 percent of total public sector employment for the 9 countries for which data are available on all levels of government. There is, however, a wide variation in the relative importance of the different levels of government across these 9 countries. The variation in the relative importance of central and local governments is primarily due to the system of government (federal versus centralized). The centralized governments of Bolivia, Botswana, Egypt, and Kenya have relatively large central government employment (51 percent of the total public sector employment on average). The federal governments of Argentina, India, and Nigeria have relatively large local government employment (49 percent of the total on average). Countries with large public enterprise employment are Gabon, Myanmar, and Nigeria (38 percent of the total on average) (Appendix III, Table 1).

It is also possible to examine the correlations between annual employment growth rates at the various levels of government and with the formal private sector. These results are presented in Table 2. Surprisingly, the correlation between central government and formal private sector employment growth is virtually zero, contrary to what would be implied by counter-cyclical hiring on the part of the central government. The correlation between local and central government employment growth is positive at 0.22, suggesting that the phenomenon of devolution of responsibility to local governments is not very significant, but instead that similar forces contribute to the growth in employment at both the central and local government level.

Table 2.

Developing Countries: Public and Private Sector Employment: Relative Employment and Correlations in Employment Growth

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Source: Appendices II and III.

Standard deviation in parentheses; number of observations below parentheses.

Correlations are for annual growth rates less than 30 percent in absolute value; number of observations in parentheses.

Total private sector employment for Bolivia, Egypt, Indonesia, Kenya, Mauritius, Morocco, Myanmar and Suriname.

Wages at the central government level have on average been 5 times as large as GDP per capita, and they have been a particularly large multiple (5.9) in Sub-Saharan Africa (Table 1). The higher multiple in Sub-Saharan Africa could be explained by a high level of productivity of civil servants (who have scarce human capital) relative to that of the population (which is mostly agricultural); it could also reflect large rents. In OECD countries, wages as a multiple of GDP per capita were much lower, 1.4 in our sample. Although the developing country averages for the 1970s and 1980s seem to indicate that wages relative to GDP were rising, this result is due primarily to differences in the sample of countries included in the average for these periods. In the next sub-section, we give evidence that within countries, there has been a relatively consistent negative time trend in wages relative to GDP per capita, as would be consistent either with declining relative scarcity of human capital in the civil service during the course of development or erosion of civil service pay over time.

Wage comparisons between different levels of government and with the private sector are especially difficult, given the scarcity of data and variety in definitions. Moreover, comparison of average wages ignores differences between types of jobs at the same level of government, as well as important sectoral differences in both the public and private sector. We confine ourselves to the presentation of some averages and correlations of wage growth rates in Table 3. On average, central government employees command a wage premium of 22 percent over their counterparts in local governments, 10 percent over those in public enterprises and 9 percent over the private sector. Perhaps the most striking finding emerges from the comparison of real wage growth rates in the central government and in the private sector. 16/ The simple correlation is positive, but quite low at 0.13, Local government and public enterprise wage growth rates are more strongly correlated with private sector wage growth (0.49 and 0.43 respectively), although the corresponding sample sizes are much smaller, and results should be interpreted cautiously.

Table 3.

Developing Countries: Public and Private Sector Wages: Relative Wages and Correlations in Wage Growth

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Source: Appendices II and III.

Standard deviation in parentheses; number of observations below parentheses.

Correlations are for annual growth rates less than 20 percent in absolute value; number of observations in parentheses.

2. Wages, employment, income, and time

The simple averages presented in the previous sub-section are problematic, since the time-averages mask time-series variation while the cross-country averages mask the cross-country variation in employment and wages. To remedy this deficiency, we estimate simple regressions of the within-country variation of employment and wages on time, and the crosscountry variations of employment and wages on real income per capita. The results, presented in Table 4, should be interpreted only as simple correlations.

Table 4.

Developing Countries: Central Government Employment and Wages: Co-movements With Time and Real Income Per Capita

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Coefficient on Time In Fixed-Effects Regression of dependent variable on constant and time trend.

Coefficient on Income In OLS Regression of mean dependent variable on constant and mean of Real GDP Per Capita.

T- statistic below estimate, In parentheses.

The first two equations show the correlations between central government employment per thousand population and time, and central government wages relative to income per capita and time. The positive time trend in employment can be seen to be much stronger in the 1970s than in the 1980s for the full sample of countries. The correlation with time was much stronger in the 1970s for those countries with real GDP per capita below the sample mean of US$ 777 per capita, than for those above the mean. In the 1980s, this pattern was reversed, with poorer countries actually showing a negative correlation with time, while the richer country correlation remained positive. The data show a negative time trend in wages relative to GDP per capita in the full sample, which is due to a strong negative correlation for the poorer countries in the first half of the sample.

The second two equations show the co-variation of country averages of employment and wages with average real GDP per capita. There is a significant positive correlation between employment and income reflecting the “luxury” good nature of public services and employment. This correlation is particularly significant for the poorer countries in the sample in the 1970s. Finally, the wage equation captures the correlation between income per capita and wages relative to GDP per capita. Across countries, there is a strong negative association between wages relative to income per capita and real income, which is especially strong for the poorer countries in the sample in the 1980s. This points to a possible role for declining relative scarcity of human capital as per capita income increases.

3. A decomposition of changes in the real wage bill

In this section, we informally examine the impact of adjustment programs supported by the IMF on the real wage bill and its components. We are interested in whether real reductions in the wage bill typically occur through reductions in government employment or in real wage rates, and what effect economic adjustment programs supported by the IMF or the World Bankhave on this pattern. 17/ Figures 1 through 3 plot the percentage change in real central government wages (measured in local currency and deflated by the CPI) against the percentage change in central government employment, by country. All points below the diagonal line correspond to years in which the real wage bill fell, while those above correspond to periods of real growth in the wage bill. 18/

Figure 1.
Figure 1.

Central Government Employment and Real Wages Countries During Non-Program Years 1/

Citation: IMF Working Papers 1995, 070; 10.5089/9781451849110.001.A001

1/ Including non-program countries. Countries include: Argentina (1), Botswana (4), Burkina Faso (5), Cameroon (6), Chad (7), Congo (8), Gabon (10), Gambia (11), Guyana (13), India (15), Kenya (17), Madagascar (18), Malta (21), Mauritius (23), Morocco (24), Myanmar (25), Rwanda (28), Seychelles (30), Somalia (31), Sri Lanka (32), Suriname (34), Togo (35), Zaire (36).

Figure 1 represents countries during periods when they did not have an adjustment program supported by the IMF. Not surprisingly, the majority of the country averages lie to the right of the origin, reflecting the predominant trend of growth in employment. The number of points above and below the horizontal axis reflect the relative frequency of real wage increases and decreases. Remarkably, wage bill declines were always at the expense of real wages, and employment actually increased in most cases (points in the lower-right quadrant and below the diagonal line). This is suggestive of the difficulties which governments have in reducing employment when, in response to fiscal imbalances, the real wage bill must be reduced.

Figures 2 and 3 repeat Figure 1, but only for periods during which short-term stabilization programs (Figure 2) and medium-term structural adjustment programs (Figure 3) were in place. Among countries with short-term stabilization programs, few countries experienced employment declines, notwithstanding the high incidence of declining real wage expenditures. However, several countries did reduce employment while having a medium-term structural adjustment program. 19/ Below we explore the impact of adjustment programs further through regression analysis.

Figure 2.
Figure 2.

Central Government Employment and Real Wage During Stabilization Programs 1/

Citation: IMF Working Papers 1995, 070; 10.5089/9781451849110.001.A001

1/ Countries include: Argentina (1), Cameroon (6), Congo (8), Gabon (10), Guyana (13 India (15), Kenya (17), Madagascar (18), Mauritania (22), Mauritius (23), Morocco (24), Myanmar (25), Senegal (29), Somalia (31), Sri Lanka (32), Togo (35), Zaire (36).
Figure 3.
Figure 3.

Central Government Employment and Real Wages During Structural Adjustment Programs 1/

Citation: IMF Working Papers 1995, 070; 10.5089/9781451849110.001.A001

1/ Countries include: Chad (7), Gambia (11), Guyana (13), Kenya (17), Madagascar (18), Mauritania (22), Senegal (29), Somalia (31), Sri Lanka (32), Togo (35), Zaire (36).

V. An Econometric Specification

In this section we first discuss our choice of explanatory variables consistent with the theoretical discussion above. Second, we present and interpret our empirical results, and explore their robustness to various specifications.

1. Choice of explanatory variables

While the above theoretical discussion does not lead to sharply-defined testable implications, it is suggestive of a number of explanatory variables for the determination of public sector employment and wages. In our basic regressions, we consider two groups of explanatory variables. The first group consists of “structural” variables intended to control for basic indicators of the level of development and the labor market situation of each country. The second group of “fiscal” variables are intended to capture some of the effects of budgetary pressures on employment and wage policy (corresponding to the effects of T on wages and employment in the constrained government model above). These variables include revenues and foreign financing. We only include the second group of variables for developing countries, the presumption being that OECD countries can easily determine revenues and foreign financing. Because of the difficulties with data coverage for the developing countries in our sample, the regressors in our basic equations were chosen to ensure as large a sample as possible, and thus often must proxy for a number of different effects, as discussed below. In particular, the scarcity and poor quality of the data on private sector labor-market indicators such as formal private sector employment, unemployment and wages for developing countries prevents us from including these indicators in our regressions.

We do not attempt to estimate underlying structural parameters, but confine ourselves to the estimation of reduced-form relations between employment and wages and a set of explanatory variables. This is because we regard our efficiency wage model as too stylized for estimation of its structural parameters to be meaningful, and because the identification of its parameters would require implausible linearizations of the above relations.

The structural variables we consider are real GDP per capita in 1985 U.S. dollars, 20/ secondary-school enrollment, the proportion of population living in urban areas, population, a dummy equal to one for federal states, a proxy for private sector employment, and a time trend.

Real GDP per capita captures the resource constraint of the economy. Richer countries are expected to have a higher level of government services. In this context, we are also interested to know whether government services are a luxury good, with an increasing share in total resources as national income increases. The impact of income per capita on employment will depend on the income elasticity of demand as well as the productivity of labor in government employment. 21/ Income per capita, while capturing the resource constraint of the economy, will be a poor measure of the resource constraint of the government if the tax administration capacity is not sufficiently developed. We take up this issue below.

Secondary-school enrollment is a proxy for abundance of human capital. Secondary-school enrollment can have an impact on government employment, by increasing the need for government employment as a last resort. Also, since relative wages of skilled workers are lower in countries with abundant human capital, and assuming civil service jobs are high-skill jobs, civil service wages will be negatively correlated with abundance of human capital. In countries where civil service jobs require little skill relative to other jobs, the correlation will be positive.

Urbanization is likely to affect both employment and wages. Higher rates of urbanization are likely to create a demand for more publicly-provided urban infrastructure, such as roads and sewers, as well as services such as police protection. While the provision of these services would be more expensive in the country-side because of the lack of returns to scale, 22/ leading to even greater public employment, urban areas tend to be favored over rural areas in practice. 23/ Urbanization may also contribute positively to government employment through political pressures caused by the existence of urban, and hence more visible and politically influential, unemployment. However, the direction of the causation could be the reverse, from government employment to urbanization, as workers migrate from rural areas to take advantage of employment opportunities in, for example, the capital, or as improved health services and health enhance the ability of workers to migrate.24/ On the wage side, urbanization may have a positive effect on the absolute level of government wages, since the alternative wage for workers is better than in a predominantly agricultural setting.

Population has a potential impact on employment, but not on wages. First, countries with large populations tend to have decentralized fiscal systems, and may, thereby, have smaller employment at the central government level. Second, population proxies for scale in the production of government services, and may therefore have a negative impact on employment per thousand population if there are increasing returns to scale.

The federalism dummy captures the fact that in federal states, central government employment can be lower, since responsibility for the provision of public goods may be devolved to local and state levels of government to a greater extent than in centralized states. It is not necessary to include the federalism dummy in the OECD regressions, since data for general government are used. The inclusion of a time trend allows us to test the hypothesis that public sector employment has an intrinsic tendency to grow over time, with the caveat that the time trend also captures the impact of any omitted variables which move over time.

We include either the real effective exchange rate (developing countries) or the ratio of private sector employment to the population (OECD countries) as a proxy for counter-cyclical hiring pressure on the government. The real effective exchange rate 25/ is expected to be highly correlated with private sector employment, while being much more widely available for developing countries. 26/ We expect that higher private sector employment (or a lower real effective exchange rate) will lead to both lower government employment and higher wages, because high private employment frees the government from its role as employer of last resort, thereby providing resources for wages.

As fiscal variables, we include a number of factors capturing various aspects of immediate budgetary pressures. The budget deficit/GDP ratio is the most obvious indicator, the presumption being that high deficits trigger fiscal restraint and lower employment and wages. However, the direction of causation is ambiguous, as high employment and wages could lead to higher deficits. 27/ We therefore include the total revenue - to-GDP ratio, as a measure of fiscal pressure, in lieu of the deficit, in developing country regressions. This variable can be considered exogenous in developing countries, where the structure of the economy and the weakness of tax administration implies that the government is not free to choose an optimal tax burden. We omit this variable in the OECD regressions, because decisions on the size of the tax burden and of civil service employment and wages are likely to be made simultaneously in those countries. 28/

We include the ratio of net disbursements of foreign public and publicly guaranteed loans (net of amortization) to GDP as a proxy for the rigidity of the government’s budget constraint. A government with access to foreign financing might be more likely to expand employment and wages than a government which must rely exclusively on domestic revenue sources. For OECD countries the presumption is that foreign financing and wage and employment decisions are made simultaneously, and the variable is not included.

We include the debt-to-GDP ratio, as measured by total public and publicly-guaranteed external debt in developing countries and total central government debt in OECD countries (foreign and domestic). This variable is an indicator of fiscal pressure as it is a proxy for the desire to correct imbalances or for interest payments. We experimented with the share of interest payments in GDP, but it entered with a counter - intuitive positive sign in both wage and employment equations in developing countries, and was therefore not included in the regressions. We decided against using the United States prime rate as a proxy for interest, after finding a virtually zero correlation between the prime rate and the share of interest payments in GDP in our developing country sample, presumably because of long grace periods or default. 29/

Finally, we include dummies for SAF/ESAF programs and for stand-by programs to capture the effects of two different types of adjustment programs. It might be expected that stand-by programs, because of their short-term nature, would only affect wages, while the longer-term SAF/ESAF programs would be able to affect employment. The impact of the longer-term SAF/ESAF programs on wages would depend on whether initial wages were judged to be too low or too high. It is unclear whether these programs should have contemporaneous or lagged effects. We experimented with both, and found that the results with lagged dummy variables for IMF-supported programs were qualitatively the same as those with contemporaneous dummy variables. 30/

The coefficients on program dummies in the cross-country averages (the so-called “between”) and fixed-effects (the so-called “within”) specifications will have different interpretations. It is natural to think of the coefficient in the “between” equation (if positive) as the likelihood that countries which often have IMF-supported programs also have high wage expenditures. The association could reflect causality from the level of wage expenditures to the probability of having an adjustment program supported by the IMF, as when countries with excessive government wage expenditures need to engage in stabilization or structural adjustment programs. The coefficient in the “within” equation is more clearly causal from a program to wage expenditures. It is unlikely that high wage expenditures in a given year lead to the presence of a program in that year, as problems typically build up over time, before recourse to a program is taken. It is nevertheless possible that high wage expenditures, or sometimes very low wage levels, precipitate a crisis and lead to the implementation of an IMF-supported program, so that “within” estimates need to be interpreted with caution.

2. Empirical results

We estimate our basic wage and employment equations for the period 1972-1992. We use general government: data for employment and wages in OECD countries. In developing countries, we are restricted to using central government data because of data limitations. We omit the revenue - to-GDP ratio, the foreign financing-to-GDP ratio, the real effective exchange rate, and program dummies in the OECD regressions for the reasons given above. 31/ We present results of both regressions based on country-means and on individual observations with country-dummies. The results for developing countries are presented in Table 5 and for OECD countries in Table 6. The left hand side panel gives the results for estimation using the country means (“between estimates”), while the right-hand side panel gives the results of pooled time-series cross-country regressions with country dummies (“within estimates”). The “between” regressions can be interpreted as long-run relationships, while the “within” regressions provide information on the short-run determination of wages and employment.

Table 5.

Developing Countries: Central Government Employment Wage, and Wage Bill Regressions

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T-statistic below estimate, in parentheses. Dependent variable in logx100. Standard errors are White-corrected for heteroscedastfclty.

Table 6.

OECD Countries: General Government Employment Wage, and Wage Bill Regressions

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T-statistic below estimate, in parentheses. Standard errors are White-corrected for heteroscedasticity.

The first column gives the results for employment per thousand population; the second and third columns give the results for two different measures of wages, one relative to GDP per capita, and the other in 1985 U.S. dollars; 32/ and the fourth column gives the results for the wage bill (GFS data). 33/ The wage bill equation is presented mainly to highlight the additional information available when its components–employment and wages– are considered separately. Real GDP per capita, government wages in 1985 U.S. dollars, the real effective exchange rate, and population are in logarithms. The other variables are ratios to population or to GDP. In addition, all dependent variables are expressed in logarithms for developing countries. While this is not the most natural representation (interpretation is difficult), the advantage is that the employment and wage equation (wages relative to GDP per capita) add up to the specification for the wage bill. 34/

Employment: developing countries. Regarding government employment in developing countries, the evidence is mixed regarding the importance of the government budget constraint. The coefficient on the revenue-to-GDP ratio is positive and significant at the 10 percent level across and within countries in the equation for employment per thousand population. GDP per capita is not significant across countries or within countries. The finding that revenues affect employment “within” countries (that is, in the short run) is surprising in view of expected rigidity in government employment. The effect does not appear large quantitatively, however, as a 1 point increase in the revenue-to-GDP ratio 35/ leads to an increase in employment per thousand population (evaluated at the sample mean of 22) of only 0.05. Foreign financing has a significant effect on employment in the “within” equation, and debt has an insignificant negative impact on employment across countries and within countries. The dummy variable for a structural adjustment program is insignificant in the “between” and significant and negative in the “within” equation, indicating probable causation from structural adjustment programs to employment (see Section V.1). The effect is important: when a structural adjustment program is in place, government employment is 0.7 less per thousand population. Surprisingly, there is a significant positive coefficient for stand-by programs in the “within” equation for employment. 36/

Turning to structural variables, the coefficient on the share of the urban population is significant and positive in the “within” equation, thereby lending some support to the idea that urbanization leads to a greater pressure for the provision of public services. A 1 percentage point increase in urbanization leads to a 0.40 point increase in employment per thousand in our developing country sample. Secondary-school enrollment, which could capture either demand or supply-side pressures, has a near-significant coefficient in the “between” and a significant, though small, coefficient in the “within” equation.37/ Further, the real effective exchange rate has a significant positive impact on government employment in the “within” equation (i.e., an appreciation is associated with an increase in government employment), in line with the hypothesis of countercyclical hiring.38/ The effect is small: a 1 percent increase in the real effective exchange rate (a reduction in competitiveness) leads to an increase of 0.02 in employment per thousand population. Fiscal federalism–a proxy for formal fiscal decentralization—has the expected significant negative impact on central government employment in the “between” equation. The coefficient on population is significant at the 10 percent level in the “within” equation, possibly indicating increasing returns to scale in the provision of government services. Urban population and total population do not, however, carry significant coefficients in the “between” equations. The time trend is not significant in the employment equation.

Employment: OECD countries. For OECD countries, mostly structural variables are considered, as government revenue and financing are no longer exogenous. Government employment in OECD countries across countries (the “between” equation) is a positive function of real GDP per capita and secondary-school enrollment. Between countries, a 1 percent increase in GDP per capita in constant U.S. dollars is associated with a 0.27 point increase in employment per thousand in the case of OECD countries (evaluated at the sample average of 71). This lends credence to a Wagnerian viewpoint that an expanding public sector is an inevitable consequence of economic development. Within countries real GDP per capita is no longer significant. Its significance appears to be absorbed by a significantly positive time trend, which may indicate that there is inherent expansion of the public sector over time.

Within countries, there is also a significant positive impact of secondary school enrollment and urbanization, a significant negative impact of population, a significant negative impact of private sector employment, consistent with countercyclical hiring, and a marginally significant negative impact of debt. Some of these effects are also economically significant. A 1 percentage point increase in secondary school enrollment is associated with a 0.56 point increase in employment per thousand population, while a 1 percentage point increase in urbanization leads to a 0.86 point increase in employment per thousand population. A 1 percentage point increase in the ratio of private employment to the population leads to a reduction of employment per thousand of 1.59 in OECD countries. 39/

Wages. For developing countries, there is some evidence of an impact of the government budget constraint on wages in the “within” equations, where there is a significant (at the 10 percent level) positive impact of the revenue-to-GDP ratio on wages as a percent of GDP per capita. Within countries, a one percentage point increase in government revenue as a percent of GDP is associated with a 3 percentage point increase in government wages as a percent of GDP per capita (the sample average is 330). 40/ For OECD and developing countries, debt has a significant negative impact (at either the 5 or 10 percent level) on wages within countries. 41/ In developing countries, a one percentage point increase in external debt as a percent of GDP involves a 1 percentage point reduction in wages expressed as a percent of GDP per capita and a 0.32 percent reduction in wages in 1985 U.S. dollars. In OECD countries, within countries, a one percentage point increase in total government debt as a percent of GDP leads to a 0.14 percentage point reduction in wages as a percent of GDP per capita and a 0.12 percent reduction in wages in 1985 U.S. dollars.

SAF/ESAF programs have no significant association with wages across or within countries. Stand-by programs, on the other hand, have a significant negative impact on both expressions for wages within countries, but not across, indicating that a causal relationship may be present. When a standby arrangement is in place, government wages as a percent of GDP are 33 percentage points lower, while wages expressed in 1985 U.S. dollars are 7.4 percent lower. These results might be explained by noting that the civil service reforms which often accompany the longer-term, more structural SAF/ESAF programs do not necessarily include wage reductions, as these might compromise the efficiency of the civil service.

Turning to structural variables, wages are significantly and negatively influenced by secondary-school enrollment, in both OECD and developing countries, both across (except OECD countries) and within countries, and both when expressed as a percent of GDP per capita and when expressed in 1985 U.S. dollars. These findings are in line with the hypothesis that competition lowers wages in the public sector (presumed to have a higher skill-content than those in the remainder of the economy). They are also in line with the alternative hypothesis of government employment of university graduates and erosion of pay to accommodate this employment within the budget constraint (assuming there is a positive correlation between secondary and tertiary education). Within developing countries, a one percentage point increase in the secondary-school enrollment ratio is associated with a 3 percentage point decline in government wages as a percent of GDP per capita and with a 0.49 percent decline in wages in 1985 U.S. dollars. Within OECD countries, the figures are 0.84 and 0.68, respectively. Real GDP per capita has a significant negative impact on wages as a percent of GDP per capita in the “between” equation for developing countries and—as expected—a significant positive effect on wages in 1985 U.S. dollars in both the “between” and the “within” equations, in developing countries and OECD countries. The elasticity of wages in 1985 U.S. dollars with respect to GDP per capita in 1985 U.S. dollars is less than 1 in all 4 cases (though not always significantly so), as would follow if the shortage of skills employed in government declines with development (per capita income).

Private employment has a significant negative coefficient in the “within” wage equations for OECD countries, contrary to our prediction that lower private-sector employment generates pressures to reduce wages (to provide funds for higher government employment). For developing countries, on the other hand, the real effective exchange rate has the expected significant negative impact on wages in U.S. dollars in the “within” equation, in line with the hypothesis that the need to finance countercyclical hiring leads to (real) wage reductions when the real effective exchange rate appreciates. 42/ In developing countries, within countries, a one percent increase in the real effective exchange rate is associated with a 0.28 percent decline in wages in 1985 U.S. dollars. This impact is not present in the relative wage equation, presumably on account of reductions in economy-wide wages in the face of reduction in competitiveness. The time trend is significant and negative for wages as a percent of GDP per capita in developing countries.

Wage bill. The results of wage bill regressions are generally in line with expectations. Across developing countries, real GDP per capita has a negative impact on the wage bill (presumably because of the impact on wage levels), while urban population and revenues have a positive impact. The dummy for fiscal federalism is significant. Within countries, secondary-school enrollment (presumably because of the impact on wage levels), and the SAF/ESAF dummy have a negative impact (the impact of the stand-by dummy is insignificant), while revenues and foreign financing have a positive impact. The presence of a SAF or ESAF is associated with a reduction of 0.8 percent in the wage bill. This reduction is of the same order of magnitude as found in Hewitt and Van Rijckeghem (1995). In contrast with a finding of Schuknecht (1994), the real effective exchange rate does not have a significant impact on wage expenditures as a share of GDP.43/

Across OECD countries, the population has a negative impact on the government wage bill, while secondary - school enrollment and urban population have a positive impact. Within countries, private employment (countercyclical hiring) and debt have a negative impact and secondary-school enrollment and urban population have a positive impact.

VI. Conclusion

We have shown, in an efficiency wage model with (i) lump-sum taxes; (ii) a government which maximizes a weighted average of total income (net of taxes) and of total employment; and (iii) private sector output which is determined by a Cobb-Douglas function of labor in the private sector and public sector output, that (a) high public sector employment and low wages may be the outcome of optimizing behavior by government; (b) the existence of an employment objective by the government always lowers public sector wages and increases the public-private employment ratio; and (c) fiscal constraints may or may not affect the optimal choice of wages, depending on whether or not the government has employment objectives, while they do affect the optimal choice of employment. We chose an efficiency wage framework, with effort as a function of the wage, because it allows us to capture the stylized fact of low effort and moonlighting commonly associated with declining real average civil service wages, and because it is a simple way to introduce unemployment to the model. While our model cannot be estimated directly, its important features— the possibility of countercyclical hiring by the government and fiscal constraints—are captured in our estimated equations. The empirical work also includes proxies for human capital and the demand for government services.

We find that countercyclical pressures for government hiring have a statistically significant impact on employment, which is important in magnitude for OECD countries. Countercyclical pressures have the expected significant negative impact on government wages in constant U.S. dollars in developing countries.

Government revenues are positively associated with government employment and wages as a percent of GDP in developing countries. For OECD countries, government revenues are not exogenous, and the comparison involving GDP per capita indicates no significant effect on government employment or government wages relative to GDP per capita. Government debt generally has an insignificant effect on government employment, but it has a significant negative impact on government wages in the short-run (“within” equations), in developing and OECD countries. The coefficient on a dummy variable capturing a medium-term Fund-supported structural adjustment program is significant for government employment at the 10 percent level and insignificant for government wages, within countries. The presence of a short-term Fund-supported stand-by arrangement is associated with significantly lower wages within developing countries.

Urbanization—our proxy for the demand for government services—and secondary-school enrollment—our proxy for human capital—are positively associated with government employment, though this is only the case in the short-run (“within” equations) for urbanization. Finally, government wages are negatively associated with the level of education in developing and OECD countries.

Our results show that employment and wage determination in the public sector involves multiple factors. They indicate that governments hire countercyclically and according to the rate of urbanization, yet that wage-levels are a function of scarcity of human capital. The finding that wages depend on the scarcity of human capital is consistent with government’s payment of competitive wages out of a concern with efficiency. At the same time, countercyclical hiring (which is economically significant in the OECD) and the impact of urbanization, together with the finding in developing countries of a limited impact of government revenues on employment and a large impact of government revenues on wages, indicates that motives other than efficiency are also at play.

APPENDIX I: Efficiency Wages in Both Sectors

The simple version of the model presented in the text does not allow unemployment in the private sector–the private sector was assumed to hire the residual of government employment. However, since it is often claimed that governments hire to attain full-employment objectives, the model is now extended to allow for private sector unemployment by assuming efficiency wages in the private sector as well. The private sector now chooses employment and output to maximize profits, taking the level of government services as given. This is the canonical efficiency wage problem, the solution being to choose wages such that the elasticity of effort with respect to the private wage equals 1. Letting wP* denote the private sector wage satisfying the elasticity condition, employment in the private sector is given by

LP=(βK/wP*)1/(1β)eP(wP*)β/(1β)G=h1(wP*)G(9)

Note that private sector employment is increasing in the level of government services provided, since government services raise the private marginal product of labor. Thus, the government can raise total employment both by raising government employment and by increasing the marginal product of private employment (in the previous section, total employment was constant by assumption). Note also that substituting optimal private sector employment into the expression for output yields a production function which displays constant returns to scale in government services, i.e.,

Y=K(βK)β/(1β)(eP(wP*)wP*)β/(1β)G=h2(wP*)G(10)

1. Unconstrained government

Substituting the expressions for private sector employment and output into the government’s objective function yields the following problem:

Max<wG,LG>(1θ)(h2(wP*)GøT)+θ(h1(wP*)G+LG)(11)

T is wGxLG/(1-ø). Letting γ(wG) denote the elasticity of effort with respect to the wage, optimal wage-setting by the government implies the following condition on wages and employment:

Note first that if θ=0, so that the government has no employment objectives, then the expressions in (12) simplify to:

γ(wG*)1=1(θ1θ)(1øø)1wG*LGLP=α(θ+(1θ)(wP*/β)(ø/(1ø))(1θ)wG*θ)(12)
γ(wG*)=1LG*LP*=αβ(1øø)wP*wG*(13)

The government satisfies the same efficiency wage condition as the private sector. The intuition for this is straightforward. The government utilizes the same technology as in the first case, but since it no longer takes labor away from the private sector in its hiring, it faces the same standard efficiency wage problem as the private sector, and accordingly sets wages such that the elasticity of effort in the public sector equals to 1. Thus, any differences in public and private sector wages can be attributed solely to differences in the elasticity of effort with respect to the wage in the two sectors.

If wages in government are high relative to wages in the private sector (because effort is more responsive to wages in the government), then the government will optimally choose a low level of employment relative to the private sector. Conversely, if effort is not very responsive to wages in government, perhaps due to the political (or other) inability of governments to discipline civil servants through the threat of dismissal, then it is optimal for the government to choose relatively low wages and relative high public sector employment.

When the government values employment creation (θ>0), the expression in (12) shows that the elasticity of effort with respect to the wage is greater than one (provided θ<0.5), and so the wage is lower than in the case where θ=0, assuming that the elasticity of effort is declining in the wage. 44/

The effect of θ and ø on wages can be seen through implicit differentiation of the elasticity expression (12). Using this expression, it can be shown that the larger the weight the government places on employment creation, or the higher collection costs, the lower public sector wages will be (both absolutely and relative to the private sector), provided the derivative of the elasticity of effort with respect to the wage is sufficiently negative. 45/

The effect of θ (the weight on employment creation) on the ratio of public to private employment is unambiguously positive, from equation (12), as long as the effect of θ on wG is negative. Similarly, government employment falls as ø (collection costs) increases. Finally, note that when collection costs, ø, are zero, government employment is infinite. This is because government employment entails no costs, only benefits through raising G and raising total employment. 46/

2. Revenue-constrained government

When the government faces a binding revenue constraint T, the elasticity condition becomes

γ(wG*)=(1+1αwG*θθβ/wP*+(1θ))(1ø)TY(14)

If the government has no employment objectives (θ=0), then the usual efficiency condition holds, and employment depends only on the parameters of the effort function and the level of T available. However, if θ>0, we see again that the elasticity of effort exceeds one, and hence wages are set lower than if the government had no employment objective to attain. As before, implicit differentiation shows that the wage is decreasing in θ and ø and increasing in T, as long as the derivative of the effort function with respect to the wage is sufficiently negative.

APPENDIX II: Sources of Data

The primary source for government employment and wages for developing countries was the IMF’s internal time-series data, but in addition, we drew on a wide variety of published and unpublished sources, including the World Bank Public Finance Review, Central Bank quarterly reviews and economic bulletins, the International Labor Organization’s Yearbook of Labor Statistics, monthly abstracts of statistics and statistical yearbooks, and country studies (e.g. De Merode and Thomas (1993), Khan (1986), and Lindauer and Meesook (1984)). Data was not available for each year for each country leading to substantial data-gaps for some countries. Wage expenditures for developing countries are from GFS and do not necessarily correspond to the product of wage levels and employment levels, because of differences in definition. 47/ The ILO’s Yearbook of Labor Statistics was particularly helpful in providing data on general labor market indicators.

For OECD countries the source of data on general government employment was Employment in the Public Sector (OECD, 1983) for 1971-1980 and OECD Economic Surveys for 1979-1991, while wage levels were derived from general government wage expenditures from the GFS. The source of data for total employment was the OECD Labor Force Surveys.

Series for nominal GDP, GDP deflator, CPI, central and general government wage expenditures, and total central government revenues are from the IMF’s Government Finance Statistics. The nominal exchange rate and CPI series used in the calculation of the real effective exchange rate are from the IMF’s International Financial Statistics and the weights used in the calculation are from the Real Effective Exchange Rate database of the IMF. For developing countries, external debt (public and publicly guaranteed) and disbursements were drawn from the World Bank’s World Debt Tables. For OECD countries debt (including domestic) and disbursements were drawn from the GFS and pertain exclusively to central government. Urbanization rates and secondary-school enrollment rates are from the World Bank’s World Tables and Social Indicators of Development.

APPENDIX III

Table 1.

Public Sector Employment Per Thousand Population: Period Averages 1/

(Per thousand)

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Source: Appendix II.

For available years during 1972-1992.

Excludes employment in the military.

Excludes employment in the military and in education.

Table 2.

Public Sector Qnployment Over Total Formal Employment: Period Averages 1/

(Ratio)

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Source: Appendix II.

For available years during 1972-1992.

Share in total employment.

Table 3.

Public Sector Wages Relative to GDP Per Capita: Period Averages 1/

(Ratio)

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Source: Appendix II.

For available years during 1972-1992.

Public sector wages obtained as wage bill from Government Finance Statistics divided by civil service employment.

Public sector wages obtained as wage bill from Government Finance Statistics divided by government employment including military employment.

Table 4.

Public Sector Wages Relative to Private Sector: Period Averages 1/

(Ratio)

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Source: Appendix II.

For available years during 1972-1992.

Public sector wages obtained as wage bill from Government Finance Statistics divided by civil service employment.

Public sector wages obtained as wage bill from Government Finance Statistics divided by government employment including military employment.

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