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Asynchronous Choice in Repeated Coordination Games

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Author Info
Roger Lagunoff (Georgetown University)
Akihiko Matsui (University of Pennsylvania)

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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.

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Paper provided by EconWPA in its series Game Theory and Information with number 9707002.

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Date of creation: 04 Jul 1997
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Handle: RePEc:wpa:wuwpga:9707002

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Web page: http://129.3.20.41

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Related research
Keywords: Repeated games; asynchronously repeated games; alternating move games; pure coordination games; stochastic games; inertia;

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Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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  1. Takashi Kamihigashi & Taiji Furusawa, 2007. "Global Dynamics in Infinitely Repeated Games with Additively Separable Continuous Payoffs," Discussion Paper Series 210, Research Institute for Economics & Business Administration, Kobe University. [Downloadable!]
  2. V. Bhaskar & Fernando Vega-Redondo, 1998. "Asynchronous Choice and Markov Equilibria:Theoretical Foundations and Applications," Game Theory and Information 9809003, EconWPA. [Downloadable!]
  3. Luca Anderlini & Dino Gerardi & Roger Lagunoff, 2004. "The Folk Theorem in Dynastic Repeated Games," Cowles Foundation Discussion Papers 1490, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  4. Hans Haller & Roger Lagunoff, 2006. "Markov Perfect Equilibria in Repeated Asynchronous Choice Games," Levine's Bibliography 321307000000000560, UCLA Department of Economics. [Downloadable!]
    Other versions:
  5. Jan Libich & Petr Stehlik, 2008. "Fiscal Rigidity In A Monetary Union: The Calvo Timing And Beyond," CAMA Working Papers 2008-22, Australian National University, Centre for Applied Macroeconomic Analysis. [Downloadable!]
  6. Jan Libich & Andrew Hughes Hallett & Petr Stehlik, 2007. "Monetary And Fiscal Policy Interaction With Various Degrees And Types Of Commitment," CAMA Working Papers 2007-21, Australian National University, Centre for Applied Macroeconomic Analysis. [Downloadable!]
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  7. Takashi Kamihigashi & Taiji Furusawa, 2006. "Immediately Reactive Equilibria in Infinitely Repeated Games with Additively Separable Continuous Payoffs," Discussion Paper Series 199, Research Institute for Economics & Business Administration, Kobe University. [Downloadable!]
  8. John Duggan & Seok-ju Cho, 2007. "Bargaining Foundations of the Median Voter Theorem," Wallis Working Papers WP49, University of Rochester - Wallis Institute of Political Economy. [Downloadable!]
  9. Jan Libich, 2006. "An Explicit Inflation Target As A Commitment Device," CAMA Working Papers 2006-22, Australian National University, Centre for Applied Macroeconomic Analysis. [Downloadable!]
    Other versions:
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