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Fast Equilibrium Selection by Rational Players Living in a Changing World

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Author Info
Burdzy, Krzysztof
Frankel, David M
Pauzner, Ady

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Abstract

We study a coordination game with randomly changing payoffs and small frictions in changing actions. Using only backwards induction, we find that players must coordinate on the risk-dominant equilibrium. More precisely, a continuum of fully rational players are randomly matched to play a symmetric 2 x 2 game. The payoff matrix changes according to a random walk. Players observe these payoffs and the population distribution of actions as they evolve. The game has frictions: opportunities to change strategies arrive from independent random processes, so that the players are locked into their actions for some time. As the frictions disappear, each player ignores what the others are doing and switches at her first opportunity to the risk-dominant action. History dependence emerges in some cases when frictions remain positive.

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Publisher Info
Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 69 (2001)
Issue (Month): 1 (January)
Pages: 163-89
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Handle: RePEc:ecm:emetrp:v:69:y:2001:i:1:p:163-89

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  1. Flavio Toxvaerd & Chryssi Giannitsarou, 2004. "Recursive global games," Money Macro and Finance (MMF) Research Group Conference 2003 104, Money Macro and Finance Research Group. [Downloadable!]
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  2. Barton L. Lipman & Ruqu Wang, 1997. "Switching Costs in Frequently Repeated Games," Discussion Papers 1190, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
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  3. Stephen Morris & Hyun Song Shin, 2000. "Global Games: Theory and Applications," Cowles Foundation Discussion Papers 1275R, Cowles Foundation, Yale University, revised Aug 2001. [Downloadable!]
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  4. In-Ho Lee & Robin Mason, 2002. "Coordination in the static and the dynamic," Levine's Working Paper Archive 391749000000000503, David K. Levine. [Downloadable!]
  5. Rosemarie Nagel & Antonio Cabrales & Roc Armenter, 2002. "Equilibrium Selection through Incomplete Information in Coordination Games: An Experimental Study," Economics Working Papers 601, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
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  6. Darrell Duffie & Yeneng Sun, 2004. "The Exact Law of Large Numbers for Independent Random Matching," Levine's Bibliography 122247000000000328, UCLA Department of Economics. [Downloadable!]
  7. Eugen Kovac & Jakub Steiner, 2008. "Reversibility in Dynamic Coordination Problems," ESE Discussion Papers 183, Edinburgh School of Economics, University of Edinburgh. [Downloadable!]
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  8. Angelo Antoci & Antonio Gay & Massimiliano Landi & Pier Luigi Sacco, 2007. "Global Analysis of an Expectations Augmented Evolutionary Dynamics," Working Papers 25-2007, Singapore Management University, School of Economics. [Downloadable!]
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  9. Robin Mason & Akos Valentinyi, 2003. "Independence, Heterogeneity and Uniqueness in Interaction Games," IEHAS Discussion Papers 0303, Institute of Economics, Hungarian Academy of Sciences. [Downloadable!]
  10. David M. Frankel & Stephen Morris & Ady Pauzner, 2001. "Equilibrium Selection in Global Games with Strategic Complementarities," Cowles Foundation Discussion Papers 1336, Cowles Foundation, Yale University. [Downloadable!]
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  11. In Ho Lee & Robin Mason, 2003. "Coordination in the Static and the Dynamic," Levine's Bibliography 506439000000000161, UCLA Department of Economics. [Downloadable!]
  12. repec:bep:theadv:v:5:y:2005:i:1:p:1140-1140 is not listed on IDEAS
  13. Larry Karp & In Ho Lee & Robin Mason, 2003. "A global game with strategic substitutes and complements," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series 940, Department of Agricultural & Resource Economics, UC Berkeley. [Downloadable!]
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  14. Akihiko Matsui & Daisuke Oyama, 2002. "Rationalizable Foresight Dynamics: Evolution and Rationalizability," Vienna Economics Papers 0302, University of Vienna, Department of Economics. [Downloadable!]
  15. Mason, Robin & Valentinyi, Ãkos, 2003. "Independence And Heterogeneity In Games Of Incomplete Information," Discussion Paper Series In Economics And Econometrics 0307, Economics Division, School of Social Sciences, University of Southampton. [Downloadable!]
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  16. Angelo Antoci & Massimiliano Landi & Pier Luigi Sacco, 2006. "Expectations, Animal Spirits, and Evolutionary Dynamics," Working Papers 10-2006, Singapore Management University, School of Economics. [Downloadable!]
  17. Stephen Morris & Hyun Song Shin, 2003. "Heterogeneity and Uniqueness in Interaction Games," Cowles Foundation Discussion Papers 1402, Cowles Foundation, Yale University. [Downloadable!]
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  18. Jakub Steiner, 2006. "Coordination Cycles," ESE Discussion Papers 162, Edinburgh School of Economics, University of Edinburgh. [Downloadable!]
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