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.
This paper derives an equilibrium for a competitive multi-stage game in which an agents' current action influences his probability of survival into the next round of play. This is directly relevant in banking, where a banks' current lending and pricing decisions determines its future probability of default. In technical terms, our innovation is to consider a multi-stage game with endogenous discounting. An equilibrium for such a multi-stage game with endogenous discounting has not been derived before in the literature.