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Asynchronous Choice in Repeated Coordination Games

Roger Lagunoff () and Akihiko Matsui ()

Game Theory and Information from EconWPA

Abstract: The standard model of repeated games assumes perfect synchronization in the timing of decisions between the players. In many natural settings, however, choices are made synchronously so that only one player can move at a given time. This paper studies a family of repeated settings in which choices are asynchronous. Initially, we examine, as a canonical model, a simple two person alternating move game of pure coordination. There, it is shown that for sufficient patient players, there is a unique perfect equilibrium payoff which Pareto dominates all other payoffs. The result generalizes to any finite number of players and any game in a class of asynchronously repeated games which includes both stochastic and deterministic repetition. The result complement a recent Folk Theorem by Dutta (1995) for stochastic games which can be applied to asynchronously repeated games if a full dimensionality condition holds. A critical feature of the model is the inertia in decisions. We show how the inertia in asynchronous decisions determines the set of equilibrium payoffs.

Keywords: Repeated games; asynchronously repeated games; alternating move games; pure coordination games; stochastic games; inertia (search for similar items in EconPapers)
JEL-codes: C72 C73 (search for similar items in EconPapers)
Date: 1997-07-04
Note: Type of Document - Tex; prepared on IBM PC ; to print on HP;
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Working Paper: Asynchronous Choice in Repeated Coordination Games'
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Journal Article: Asynchronous Choice in Repeated Coordination Games (1997)
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