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A Quantal Response Equilibrium Model of Order Statistic Games

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  • Yi, Kang-Oh

Abstract

This paper applies quantal response equilibrium (QRE) models (McKelvey and Palfrey, Games and Economic Behavior 10 (1995), 6-38) to a wide class of symmetric coordination games in which each player's best response is determined by an order statistic of all players' decisions, as in the classic experiments of Van Huyck, Battalio, and Beil (American Economic Review 80 (1990), 234-248; Quarterly Journal of Economics 106 (1991), 885-910), but players have a bounded continuum of decisions, which approximates to Van Huyck, Battalio, and Rankin's (1996) environment. Generalizing the results of Anderson, Goeree, and Holt (1998) with a quadratic payoff function, I show that as the noise vanishes the QRE approaches the most efficient equilibrium as a unique limit for all order statistics, including the minimum.

Suggested Citation

  • Yi, Kang-Oh, 1999. "A Quantal Response Equilibrium Model of Order Statistic Games," University of California at San Diego, Economics Working Paper Series qt4771x1j2, Department of Economics, UC San Diego.
  • Handle: RePEc:cdl:ucsdec:qt4771x1j2
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    References listed on IDEAS

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    1. Carlsson, Hans & Ganslandt, Mattias, 1998. "Noisy equilibrium selection in coordination games," Economics Letters, Elsevier, vol. 60(1), pages 23-34, July.
    2. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September.
    3. Chen, Hsiao-Chi & Friedman, James W. & Thisse, Jacques-Francois, 1997. "Boundedly Rational Nash Equilibrium: A Probabilistic Choice Approach," Games and Economic Behavior, Elsevier, vol. 18(1), pages 32-54, January.
    4. Carlsson, Hans, 1991. "A Bargaining Model Where Parties Make Errors," Econometrica, Econometric Society, vol. 59(5), pages 1487-1496, September.
    5. Carlsson, H. & Van Dame, E., 1991. "Equilibrium Selection in Stag Hunt Games," Papers 9170, Tilburg - Center for Economic Research.
    6. van Damme, E.E.C. & Carlsson, H., 1993. "Equilibrium selection in stag hunt games," Other publications TiSEM 8951ae88-c6e4-42e6-b253-b, Tilburg University, School of Economics and Management.
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