IDEAS home Printed from https://ideas.repec.org/p/bfi/wpaper/2012-014.html
   My bibliography  Save this paper

Correlated Equilibrium, Confirmity and Stereotyping in Social Groups

Author

Listed:
  • Myrna Wooders

    () (Vanderbilt University)

  • Edward Cartwright

    (University of Kent)

Abstract

We argue that a social norm and the coordination of behavior within social groups can be expressed by a correlated equilibrium. Given a social group structure (a partition of individuals into social groups), we propose four conditions that one may expect of a correlated equilibrium consistent with social norms. These are: (a) within-group anonymity (conformity within groups), (b) group independence (no conformity between groups), (c) homophily (individuals in the same group have similar attributes), and (d) predictable group behavior (ex-post stability). We demonstrate that correlated equilibrium satisfying (a)-(c) exist very generally and equilibrium satisfying (a)-(d) exist in games with many players. We also consider stereotyped beliefs - beliefs that all individuals in a social group can be expected to behave in the same way - and show that stereotyping is not costly to the person who stereotypes but may or may not be beneficial to society.

Suggested Citation

  • Myrna Wooders & Edward Cartwright, 2012. "Correlated Equilibrium, Confirmity and Stereotyping in Social Groups," Working Papers 2012-014, Becker Friedman Institute for Research In Economics.
  • Handle: RePEc:bfi:wpaper:2012-014
    as

    Download full text from publisher

    File URL: https://econresearch.uchicago.edu/sites/econresearch.uchicago.edu/files/BFI_2012-014.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Edward Cartwright & Myrna Wooders, 2009. "On equilibrium in pure strategies in games with many players," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(1), pages 137-153, March.
    2. Palfrey, Thomas R. & Rosenthal, Howard, 1984. "Participation and the provision of discrete public goods: a strategic analysis," Journal of Public Economics, Elsevier, vol. 24(2), pages 171-193, July.
    3. 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.
    4. Konishi, Hideo & Unver, M. Utku, 2006. "Credible group stability in many-to-many matching problems," Journal of Economic Theory, Elsevier, vol. 129(1), pages 57-80, July.
    5. Sugden, Robert, 1989. "Spontaneous Order," Journal of Economic Perspectives, American Economic Association, vol. 3(4), pages 85-97, Fall.
    6. George A. Akerlof, 1980. "A Theory of Social Custom, of which Unemployment may be One Consequence," The Quarterly Journal of Economics, Oxford University Press, vol. 94(4), pages 749-775.
    7. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
    8. Sergio Currarini & Matthew O. Jackson & Paolo Pin, 2009. "An Economic Model of Friendship: Homophily, Minorities, and Segregation," Econometrica, Econometric Society, vol. 77(4), pages 1003-1045, July.
    9. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March.
    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.
    11. Cavaliere, Alberto, 2001. " Coordination and the Provision of Discrete Public Goods by Correlated Equilibria," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 3(3), pages 235-255.
    12. Bergstrom, Theodore & Blume, Lawrence & Varian, Hal, 1986. "On the private provision of public goods," Journal of Public Economics, Elsevier, vol. 29(1), pages 25-49, February.
    13. 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..
    14. Binmore, Ken, 1989. "Social Contract I: Harsani and Rawls," Economic Journal, Royal Economic Society, vol. 99(395), pages 84-102, Supplemen.
    15. Elster, Jon, 1989. "Social Norms and Economic Theory," Journal of Economic Perspectives, American Economic Association, vol. 3(4), pages 99-117, Fall.
    16. Rachel Croson & Melanie Marks, 2000. "Step Returns in Threshold Public Goods: A Meta- and Experimental Analysis," Experimental Economics, Springer;Economic Science Association, vol. 2(3), pages 239-259, March.
    17. Dhillon, Amrita & Mertens, Jean Francois, 1996. "Perfect Correlated Equilibria," Journal of Economic Theory, Elsevier, vol. 68(2), pages 279-302, February.
    18. Myerson, R B, 1986. "Acceptable and Predominant Correlated Equilibria," International Journal of Game Theory, Springer;Game Theory Society, vol. 15(3), pages 133-154.
    19. Bernheim, B Douglas, 1994. "A Theory of Conformity," Journal of Political Economy, University of Chicago Press, vol. 102(5), pages 841-877, October.
    20. Forges, Francoise M, 1986. "An Approach to Communication Equilibria," Econometrica, Econometric Society, vol. 54(6), pages 1375-1385, November.
    21. Robert J. Aumann, 2008. "Rule-Rationality versus Act-Rationality," Discussion Paper Series dp497, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Pieter H.M. RUYS, 2014. "Architecture of an Economy with Social Enterprises: the Relational Capacity Approach," CIRIEC Working Papers 1413, CIRIEC - Université de Liège.
    2. repec:spr:annopr:v:243:y:2016:i:1:d:10.1007_s10479-015-1920-7 is not listed on IDEAS

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bfi:wpaper:2012-014. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Toni Shears). General contact details of provider: http://edirc.repec.org/data/mfichus.html .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.