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A Re-Interpretation of Nash Equilibrium Based on the Notion of Social Institutions

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  • Guilherme Carmona

Abstract

We define social institutions as strategies in some repeated game. With this interpretation in mind, we consider the impact of introducing requirements on strategies which have been viewed as necessary properties for any social institution to endure. The properties we study are finite complexity, symmetry, global stability, and semi-perfection. We show that: (1) If a strategy satisfies these properties then players play a Nash equilibrium of the stage game in every period; (2) The set of finitely complex, symmetric, globally stable, semi-perfect equilibrium payoffs in the repeated game equals the set of Nash equilibria payoffs in the stage game; and (3) A strategy vector satisfies these properties in a Pareto optimal way if and only if players play some Pareto optimal Nash equilibrium of the stage game in every stage. These results provide a social institution interpretation of Nash equilibrium: individual behavior in enduring social institutions is described by Nash equilibria.

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  • Guilherme Carmona, 2003. "A Re-Interpretation of Nash Equilibrium Based on the Notion of Social Institutions," Game Theory and Information 0311005, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpga:0311005
    Note: Type of Document - pdf; prepared on win xp; to print on general; pages: 23; figures: 0. none
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    References listed on IDEAS

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    1. Robert Aumann & Adam Brandenburger, 2014. "Epistemic Conditions for Nash Equilibrium," World Scientific Book Chapters, in: The Language of Game Theory Putting Epistemics into the Mathematics of Games, chapter 5, pages 113-136, World Scientific Publishing Co. Pte. Ltd..
    2. Kalai, Ehud & Stanford, William, 1988. "Finite Rationality and Interpersonal Complexity in Repeated Games," Econometrica, Econometric Society, vol. 56(2), pages 397-410, March.
    3. Guilherme Carmona, 2002. "On the notion of social institutions," Nova SBE Working Paper Series wp421, Universidade Nova de Lisboa, Nova School of Business and Economics.
    4. Banks, Jeffrey S. & Sundaram, Rangarajan K., 1990. "Repeated games, finite automata, and complexity," Games and Economic Behavior, Elsevier, vol. 2(2), pages 97-117, June.
    5. Barlo, Mehmet & Carmona, Guilherme, 2015. "Strategic behavior in non-atomic games," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 134-144.
    6. Drew Fudenberg & Eric Maskin, 2008. "The Folk Theorem In Repeated Games With Discounting Or With Incomplete Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 11, pages 209-230, World Scientific Publishing Co. Pte. Ltd..
    7. Green, Edward J., 1980. "Noncooperative price taking in large dynamic markets," Journal of Economic Theory, Elsevier, vol. 22(2), pages 155-182, April.
    8. Abreu, Dilip & Rubinstein, Ariel, 1988. "The Structure of Nash Equilibrium in Repeated Games with Finite Automata," Econometrica, Econometric Society, vol. 56(6), pages 1259-1281, November.
    9. Rubinstein, Ariel, 1979. "Equilibrium in supergames with the overtaking criterion," Journal of Economic Theory, Elsevier, vol. 21(1), pages 1-9, August.
    10. Jørgen Jacobsen, Hans, 1996. "On the Foundations of Nash Equilibrium," Economics and Philosophy, Cambridge University Press, vol. 12(1), pages 67-88, April.
    11. Lipman, Barton L. & Srivastava, Sanjay, 1990. "Informational requirements and strategic complexity in repeated games," Games and Economic Behavior, Elsevier, vol. 2(3), pages 273-290, September.
    12. Al-Najjar, Nabil I. & Smorodinsky, Rann, 2001. "Large Nonanonymous Repeated Games," Games and Economic Behavior, Elsevier, vol. 37(1), pages 26-39, October.
    13. Piccione, Michele, 1992. "Finite automata equilibria with discounting," Journal of Economic Theory, Elsevier, vol. 56(1), pages 180-193, February.
    14. Ehud Kalai, 1987. "Bounded Rationality and Strategic Complexity in Repeated Games," Discussion Papers 783, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    15. Sabourian, Hamid, 1990. "Anonymous repeated games with a large number of players and random outcomes," Journal of Economic Theory, Elsevier, vol. 51(1), pages 92-110, June.
    16. Okuno-Fujiwara Masahiro & Postlewaite Andrew, 1995. "Social Norms and Random Matching Games," Games and Economic Behavior, Elsevier, vol. 9(1), pages 79-109, April.
    17. Michihiro Kandori, 1992. "Social Norms and Community Enforcement," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(1), pages 63-80.
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    More about this item

    Keywords

    Nash equilibrium; discounted repeated games; semi-perfect equilibrium; global stability; finite automata; social norms.;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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