The IMF Working Papers series is designed to make IMF staff research available to a wide audience. Almost 300 Working Papers are released each year, covering a wide range of theoretical and analytical topics, including balance of payments, monetary and fiscal issues, global liquidity, and national and international economic developments.
The paper proves four theorems in an n-sector model of a segmented labor market, with search costs, and a continuum of workers with different reservation wages, who can apply to any number of sectors. The main conclusions are that: (i) an equilibrium with unemployment always exists; and (ii) some of the unemployment is involuntary, in the sense that it consists of workers with reservation wages below the equilibrium wage in the secondary market. These conclusions hold in the case of both separate and non-separate markets.