This paper examines Markov perfect equilibria of general, finite state stochastic games. Our main result is that the number of such equilibria is finite for a set of stochastic game payoffs with full Lebesgue measure. We further discuss extensions to lower dimensional stochastic games like the alternating move game.

This paper proposes a characterization of optimal strategies for playing certain repeated coordination games whose players have identical preferences. Players' optimal coordination strategies reflect their uncertainty about how their partners will respond to multiple-equilibrium problems; this uncertainty constrains the statistical relationships between their strategy choices players can bring about. The authors show that optimality is nevertheless consistent with subgame-perfect equilibrium. Examples are analyzed in which players use precedents as focal points to achieve and maintain coordination, and in which they play dominated strategies with positive probability in early stages in the hope of generating a useful precedent. Copyright 1990 by The Econometric Society.

In a two-country general equilibrium setting, we study competition between governments with two policy tools: capital requirements and a bank tax. Since banks raise equity and deposits from domestic and foreign households, governments face cross-country externalities the sign of which depends on the extent of positive spillovers, i.e., revenues from taxing banks, and negative spillovers, i.e., deposit guarantee costs. We show that regulatory competition yields the efficient allocation when governments have at their disposal policy tools that enable them to optimally internalize domestic distortions. Our first finding is that this is the case when governments are not restricted by supranational regulation. Our second finding is that supranational regulation may or may not impede efficiency. This conclusion is the result of a detailed analysis where we consider conceivable supranational regulatory schemes, derive their welfare implications and identify those that cause inefficiencies.