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Correlated Equilibrium and Behavioral Conformity

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Author Info
Edward Cartwright () (Department of Economics, Keynes College, University of Kent)
Myrna Wooders () (Department of Economics, Vanderbilt University)

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Abstract

Is conformity amongst similar individuals consistent with self-interested behavior? We consider a model of incomplete information in which each player receives a signal, interpreted as an allocation to a role, and can make his action choice conditional on his role. Our main result demonstrates that 'near to' any correlated equilibrium is an approximate correlated equilibrium 'with conformity' -- that is, an equilibrium where all 'similar players' play the same strategy, have the same probability of being allocated to each role, and receive approximately the same payoff; in short, similar players 'behave in an identical way' and are treated nearly equally. To measure 'similarity' amongst players we introduce the notions of approximate substitutes and a (delta,Q)-class games -- a game with Q classes of players where all players in the same class are delta-substitutes for each other.

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File URL: http://www.vanderbilt.edu/Econ/wparchive/workpaper/vu05-w26.pdf
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File Function: First version, 2005
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Paper provided by Department of Economics, Vanderbilt University in its series Working Papers with number 0526.

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Date of creation: Nov 2005
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Handle: RePEc:van:wpaper:0526

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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
D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information

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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. Sugden, Robert, 1995. "A Theory of Focal Points," Economic Journal, Royal Economic Society, vol. 105(430), pages 533-50, May. [Downloadable!] (restricted)
  3. Shaun Hargreaves-Heap & Yanis Varoufakis, 2002. "Some Experimental Evidence On The Evolution Of Discrimination, Co--Operation And Perceptions Of Fairness," Economic Journal, Royal Economic Society, vol. 112(481), pages 679-703, July. [Downloadable!] (restricted)
  4. Wooders, Myrna & Edward Cartwright & Selten, Reinhard, 2002. "Social Conformity And Equilibrium In Pure Strategies In Games With Many Players," The Warwick Economics Research Paper Series (TWERPS) 636, University of Warwick, Department of Economics. [Downloadable!]
  5. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March. [Downloadable!] (restricted)
  6. Sergiu Hart, 2005. "Adaptive Heuristics," Econometrica, Econometric Society, vol. 73(5), pages 1401-1430, 09. [Downloadable!] (restricted)
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  7. Van Huyck, John B & Battalio, Raymond C & Rankin, Frederick W, 1997. "On the Origin of Convention: Evidence from Coordination Games," Economic Journal, Royal Economic Society, vol. 107(442), pages 576-96, May. [Downloadable!] (restricted)
  8. Edward Cartwright, 2002. "Learning to play approximate Nash equilibria in games with many players," Levine's Working Paper Archive 506439000000000070, David K. Levine. [Downloadable!]
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  9. Friedman, Daniel, 1996. "Equilibrium in Evolutionary Games: Some Experimental Results," Economic Journal, Royal Economic Society, vol. 106(434), pages 1-25, January. [Downloadable!] (restricted)
  10. Rapoport, Amnon & Seale, Darryl A. & Winter, Eyal, 2002. "Coordination and Learning Behavior in Large Groups with Asymmetric Players," Games and Economic Behavior, Elsevier, vol. 39(1), pages 111-136, April. [Downloadable!] (restricted)
  11. Brandenburger, Adam & Dekel, Eddie, 1987. "Rationalizability and Correlated Equilibria," Econometrica, Econometric Society, vol. 55(6), pages 1391-1402, November. [Downloadable!] (restricted)
  12. Kovalenkov, Alexander & Wooders, Myrna, 2003. "Approximate cores of games and economies with clubs," Journal of Economic Theory, Elsevier, vol. 110(1), pages 87-120, May. [Downloadable!] (restricted)
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