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Symmetric play in repeated allocation games

  • Christoph Kuzmics

    (Bielefeld University)

  • Thomas Palfrey

    (California Institute of Technology)

  • Brian W. Rogers

    (Kellogg School of Management, and NICO)

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.

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File URL: http://www.imw.uni-bielefeld.de/papers/files/imw-wp-468.pdf
File Function: First version, 2012
Download Restriction: no

Paper provided by Bielefeld University, Center for Mathematical Economics in its series Working Papers with number 468.

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Length: 43 pages
Date of creation: Jul 2012
Date of revision:
Handle: RePEc:bie:wpaper:468
Contact details of provider: Postal: Postfach 10 01 31, 33501 Bielefeld
Phone: +49(0)521-106-4907
Web page: http://www.imw.uni-bielefeld.de/

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  1. Dale O. Stahl & Paul W. Wilson, 2010. "On Players' Models of Other Players: Theory and Experimental Evidence," Levine's Working Paper Archive 542, David K. Levine.
  2. Broseta, Bruno & Costa-Gomes, Miguel & Crawford, Vincent P., 2000. "Cognition and Behavior in Normal-Form Games: An Experimental Study," University of California at San Diego, Economics Working Paper Series qt0fp8278k, Department of Economics, UC San Diego.
  3. 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.
  4. 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.
  5. 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.
  6. Carlos Alós-Ferrer & Christoph Kuzmics, 2008. "Hidden Symmetries and Focal Points," TWI Research Paper Series 35, Thurgauer Wirtschaftsinstitut, Universität Konstanz.
  7. 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).
  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, June.
  9. 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.
  10. Casajus, Andre, 2000. "Focal Points in Framed Strategic Forms," Games and Economic Behavior, Elsevier, vol. 32(2), pages 263-291, August.
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