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Conformity, Equity and Correlated Equilibrium

Author

Listed:
  • Edward Cartwright

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

  • Myrna Wooders

    (Department of Economics, Vanderbilt University)

Abstract

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 three properties one may expect of a correlated equilibrium: within-group anonymity, group independence and stereotyped beliefs. Within-group anonymity requires that players within the same social group have equal opportunities and equal payoffs. Group independence requires that there be no correlation of behavior between groups. If beliefs are stereotyped then any two members of a social group are expected to behave identically. We demonstrate that there are subjective correlated equilibrium satisfying within-group anonymity, group independence and stereotyping. We also discuss the efficiency of stereotyping; an individual player does not loose significantly from stereotyping others.. Our results apply when players within social groups are 'similar', and not necessarily identical. A number of related issues, such as fairness, are also discussed.

Suggested Citation

  • Edward Cartwright & Myrna Wooders, 2008. "Conformity, Equity and Correlated Equilibrium," Vanderbilt University Department of Economics Working Papers 0806, Vanderbilt University Department of Economics.
    • Handle: RePEc:van:wpaper:0806
    as

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    References listed on IDEAS

    as
    1. Alberto Alesina & Enrico Spolaore, 1997. "On the Number and Size of Nations," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(4), pages 1027-1056.
    2. Robert J. Aumann, 2025. "Subjectivity and Correlation in Randomized Strategies," World Scientific Book Chapters, in: SELECTED CONTRIBUTIONS TO GAME THEORY, chapter 4, pages 73-113, World Scientific Publishing Co. Pte. Ltd..
    3. Bernheim, B Douglas, 1994. "A Theory of Conformity," Journal of Political Economy, University of Chicago Press, vol. 102(5), pages 841-877, October.
    4. George A. Akerlof, 1980. "A Theory of Social Custom, of which Unemployment may be One Consequence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 94(4), pages 749-775.
    5. Robert J. Aumann, 2025. "Correlated Equilibrium as an Expression of Bayesian Rationality," World Scientific Book Chapters, in: SELECTED CONTRIBUTIONS TO GAME THEORY, chapter 7, pages 175-200, World Scientific Publishing Co. Pte. Ltd..
    6. Binmore, Ken, 1989. "Social Contract I: Harsani and Rawls," Economic Journal, Royal Economic Society, vol. 99(395), pages 84-102, Supplemen.
    7. George A. Akerlof & Rachel E. Kranton, 2000. "Economics and Identity," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 115(3), pages 715-753.
    8. Adam Brandenburger & Eddie Dekel, 2014. "Rationalizability and Correlated Equilibria," World Scientific Book Chapters, in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 3, pages 43-57, World Scientific Publishing Co. Pte. Ltd..
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    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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