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Symmetric play in repeated allocation games

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  • Christoph Kuzmics
  • Thomas Palfrey
  • Brian Rogers

Abstract

We study symmetric play in a class of repeated games when players are patient. We show that, while the use of symmetric strategy profiles essentially does not restrict the set of feasible payoffs, the set of equilibrium payoffs is an interesting proper subset of the feasible and individually rational set. We also provide a theory of how rational individuals play these games, identifying particular strategies as focal through the considerations of Pareto optimality and simplicity. We report experiments that support many aspects of this theory. JEL Code: C73, C92, D63

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Bibliographic Info

Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1551.

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Date of creation: 01 Jul 2012
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Handle: RePEc:nwu:cmsems:1551

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Postal: Center for Mathematical Studies in Economics and Management Science, Northwestern University, 580 Jacobs Center, 2001 Sheridan Road, Evanston, IL 60208-2014
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Web page: http://www.kellogg.northwestern.edu/research/math/
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Keywords: symmetry; repeated games; focal points; experiments;

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  1. Ehud Kalai & William Stanford, 1986. "Finite Rationality and Interpersonal Complexity in Repeated Games," Discussion Papers 679, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Stahl Dale O. & Wilson Paul W., 1995. "On Players' Models of Other Players: Theory and Experimental Evidence," Games and Economic Behavior, Elsevier, vol. 10(1), pages 218-254, July.
  3. Costa-Gomes, Miguel & Crawford, Vincent P & Broseta, Bruno, 2001. "Cognition and Behavior in Normal-Form Games: An Experimental Study," Econometrica, Econometric Society, vol. 69(5), pages 1193-1235, September.
  4. Timothy N. Cason & Sau-Him Paul Lau & Vai-Lam Mui, 2011. "Learning, Teaching, and Turn Taking in the Repeated Assignment Game," Purdue University Economics Working Papers 1267, Purdue University, Department of Economics.
  5. Alós-Ferrer, Carlos & Kuzmics, Christoph, 2013. "Hidden symmetries and focal points," Journal of Economic Theory, Elsevier, vol. 148(1), pages 226-258.
  6. Andreas Blume, 1998. "Coordination and Learning with a Partial Language," CIG Working Papers FS IV 98-11, Wissenschaftszentrum Berlin (WZB), Research Unit: Competition and Innovation (CIG).
  7. Sorin, Sylvain, 1992. "Repeated games with complete information," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 4, pages 71-107 Elsevier.
  8. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, January.
  9. Casajus, Andre, 2000. "Focal Points in Framed Strategic Forms," Games and Economic Behavior, Elsevier, vol. 32(2), pages 263-291, August.
  10. Sau-Him Lau & Vai-Lam Mui, 2008. "Using Turn Taking to Mitigate Coordination and Conflict Problems in the Repeated Battle of the Sexes Game," Theory and Decision, Springer, vol. 65(2), pages 153-183, September.
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Cited by:
  1. Antoni Bosch-Dom�nech & Nicolaas J. Vriend, 2008. "On the Role of Non-equilibrium Focal Points as Coordination Devices," Working Papers 621, Queen Mary, University of London, School of Economics and Finance.

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