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Endogenous convention, prejudice, and trust in demographic summary games

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  • Kolpin, Van

Abstract

Many economic environments exhibit payoff discontinuity and indeterminacy, particularly those involving factors that are not under the deliberate control of players, such as prejudicial bias and trust. Simon and Zame (1990) introduce the concept of sharing rules as a means for endogenously resolving such indeterminacy when the player set is finite. We extend the Simon and Zame methodology to environments including large players whose individual actions may be felt economy-wide as well as infinitesimal players whose actions impact others only through the aggregate behavior of the demographic groups to which they belong. In effect, our analysis endogenizes the equilibrium actions of economic agents as well as the social conventions and personal beliefs that prevail.

Suggested Citation

  • Kolpin, Van, 2014. "Endogenous convention, prejudice, and trust in demographic summary games," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 128-133.
    • Handle: RePEc:eee:mateco:v:52:y:2014:i:c:p:128-133
    DOI: 10.1016/j.jmateco.2014.04.004
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    References listed on IDEAS

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    1. SCHMEIDLER, David, 1973. "Equilibrium points of nonatomic games," LIDAM Reprints CORE 146, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Carmona, Guilherme & Podczeck, Konrad, 2014. "Existence of Nash equilibrium in games with a measure space of players and discontinuous payoff functions," Journal of Economic Theory, Elsevier, vol. 152(C), pages 130-178.
    3. Kolpin, Van, 2009. "Pure strategy equilibria in large demographic summary games," Mathematical Social Sciences, Elsevier, vol. 58(1), pages 132-141, July.
    4. Rabin, Matthew, 1993. "Incorporating Fairness into Game Theory and Economics," American Economic Review, American Economic Association, vol. 83(5), pages 1281-1302, December.
    5. Simon, Leo K & Zame, William R, 1990. "Discontinuous Games and Endogenous Sharing Rules," Econometrica, Econometric Society, vol. 58(4), pages 861-872, July.
    6. Martin Shubik, 1971. "The Dollar Auction game: a paradox in noncooperative behavior and escalation," Journal of Conflict Resolution, Peace Science Society (International), vol. 15(1), pages 109-111, March.
    7. Erik Balder, 2011. "An equilibrium closure result for discontinuous games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(1), pages 47-65, September.
    8. Balder, Erik J., 2002. "A Unifying Pair of Cournot-Nash Equilibrium Existence Results," Journal of Economic Theory, Elsevier, vol. 102(2), pages 437-470, February.
    9. Harris, Christopher & Reny, Philip & Robson, Arthur, 1995. "The Existence of Subgame-Perfect Equilibrium in Continuous Games with Almost Perfect Information: A Case for Public Randomization," Econometrica, Econometric Society, vol. 63(3), pages 507-544, May.
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