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Categorization and correlation in a random-matching game

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Author Info
Azrieli, Yaron

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Abstract

We consider a random-matching model in which every agent has a categorization (partition) of his potential opponents. In equilibrium, the strategy of each player is a best response to the distribution of actions of his opponents in each category of his categorization. We provide equivalence theorems between distributions generated by equilibrium profiles and correlated equilibria of the underlying game.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 5475.

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Date of creation: 25 Oct 2007
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Handle: RePEc:pra:mprapa:5475

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Related research
Keywords: Random-matching game Categorization Correlated equilibrium

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Find related papers by JEL classification:
D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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  1. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January. [Downloadable!] (restricted)
  2. George J. Mailath & Larry Samuelson & Avner Shaked, 2000. "Endogenous Inequality in Integrated Labor Markets with Two-Sided Search," American Economic Review, American Economic Association, vol. 90(1), pages 46-72, March. [Downloadable!] (restricted)
    Other versions:
  3. Azrieli, Yaron, 2007. "Thinking categorically about others: A conjectural equilibrium approach," MPRA Paper 3843, University Library of Munich, Germany, revised 06 Sep 2007. [Downloadable!]
  4. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March. [Downloadable!] (restricted)
  5. Jehiel, Philippe, 2005. "Analogy-based expectation equilibrium," Journal of Economic Theory, Elsevier, vol. 123(2), pages 81-104, August. [Downloadable!] (restricted)
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  6. Avner Shaked & Larry Samuelson & George J. Mailath, 1997. "Correlated equilibria and local interactions (*)," Economic Theory, Springer, vol. 9(3), pages 551-556.
  7. Lehrer, Ehud & Sorin, Sylvain, 1997. "One-Shot Public Mediated Talk," Games and Economic Behavior, Elsevier, vol. 20(2), pages 131-148, August. [Downloadable!] (restricted)
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  8. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January. [Downloadable!] (restricted)
  9. Philippe Jehiel & Frederic Koessler, 2005. "Revisiting Games of Incomplete Information with Analogy-Based Expectations," THEMA Working Papers 2005-04, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise. [Downloadable!]
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  10. George J. Mailath & Larry Samuelson & Avner Shaked, . "Correlated Equilibria and Local Interactions," CARESS Working Papres 97-6, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences. [Downloadable!]
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  11. Okuno-Fujiwara Masahiro & Postlewaite Andrew, 1995. "Social Norms and Random Matching Games," Games and Economic Behavior, Elsevier, vol. 9(1), pages 79-109, April. [Downloadable!] (restricted)
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