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Behavioral Properties of Correlated Equilibrium; Social Group Structures with Conformity and Stereotyping

  • Edward Cartwright


    (Department of Economics, Keynes College, University of Kent)

  • Myrna Wooders


    (Department of Economics, Vanderbilt University)

We explore the potential for correlated equilibrium to capture conformity to norms and the coordination of behavior within social groups. Given a partition of players into social groups we propose properties that one may expect of a correlated equilibrium: within-group anonymity, group independence, predictable group behavior and stereotyped beliefs. We then demonstrate that (a) a correlated equilibrium satisfying these properties exists in games with many players (b) a player who stereotypes other players cannot do better with correct beliefs and (c) correlation allows predictability of group behavior, which ensures that a correlated equilibrium is approximately ex-post stable.

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Paper provided by Vanderbilt University Department of Economics in its series Vanderbilt University Department of Economics Working Papers with number 0814.

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Date of creation: Aug 2008
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Handle: RePEc:van:wpaper:0814
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  1. Cartwright, Edward & Wooders, Myrna, 2003. "On Equilibrium in Pure Stategies in Games with Many Players," The Warwick Economics Research Paper Series (TWERPS) 686, University of Warwick, Department of Economics.
  2. Wooders, Myrna & Cartwright, Edward & Selten, Reinhard, 2003. "Social Conformity in Games with Many Players," The Warwick Economics Research Paper Series (TWERPS) 682, University of Warwick, Department of Economics.
  3. Sergiu Hart, 2004. "Adaptive Heuristics," Discussion Paper Series dp372, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
  4. 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.
  5. Conley, John P. & Wooders, Myrna H., 2001. "Tiebout Economies with Differential Genetic Types and Endogenously Chosen Crowding Characteristics," Journal of Economic Theory, Elsevier, vol. 98(2), pages 261-294, June.
  6. Fehr, Ernst & Schmidt, Klaus M., 1998. "A Theory of Fairness, Competition and Cooperation," CEPR Discussion Papers 1812, C.E.P.R. Discussion Papers.
  7. Nicolas Gravel & Sylvie Thoron, 2003. "Does endogenous formation of jurisdictions lead to wealth stratification?," IDEP Working Papers 0306, Institut d'economie publique (IDEP), Marseille, France.
  8. 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.
  9. Alberto Alesina & Enrico Spolaore, 1995. "On the Number and Size of Nations," NBER Working Papers 5050, National Bureau of Economic Research, Inc.
  10. Sergio Currarini & Paolo Pin & Matthew O. Jackson, 2007. "An Economic Model of Friendship: Homophily, Minorities and Segregation," Working Papers 2007_20, Department of Economics, University of Venice "Ca' Foscari".
  11. Edward Cartwright & Myrna Wooders, 2005. "Correlated Equilibrium and Behavioral Conformity," Vanderbilt University Department of Economics Working Papers 0526, Vanderbilt University Department of Economics.
  12. Wooders, Myrna & Cartwright, Edward & Selten, Reinhard, 2006. "Behavioral conformity in games with many players," Games and Economic Behavior, Elsevier, vol. 57(2), pages 347-360, November.
  13. DHILLON, Amrita & MERTENS, Jean-François, 1992. "Perfect correlated equilibria," CORE Discussion Papers 1992039, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  14. Cartwright, Edward & Wooders, Myrna, 2003. "Conformity and Bounded Rationality in Games with Many Players," The Warwick Economics Research Paper Series (TWERPS) 687, University of Warwick, Department of Economics.
  15. Hideo Konishi & M. Utku Unver, 2003. "Credible Group-Stability in Many-to-Many Matching Problems," Boston College Working Papers in Economics 570, Boston College Department of Economics, revised 19 Jan 2005.
  16. Robson, Arthur J & Wooders, Myrna, 1997. "On the Growth-Maximizing Distribution of Income," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(3), pages 511-26, August.
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