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A Quantal Response Equilibrium Model of Order Statistic Games

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  • Yi, Kang-Oh
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    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.

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    Bibliographic Info

    Paper provided by Department of Economics, UC San Diego in its series University of California at San Diego, Economics Working Paper Series with number qt4771x1j2.

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    Date of creation: 01 Aug 1999
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    Handle: RePEc:cdl:ucsdec:qt4771x1j2

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    Keywords: equilibrium selection; coordination; strategic uncertainty; logit equilibrium;

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    1. Carlsson, H. & Damme, E.E.C. van, 1991. "Equilibrium selection in stag hunt games," Discussion Paper 1991-70, Tilburg University, Center for Economic Research.
    2. Carlsson, H. & Damme, E.E.C. van, 1993. "Global games and equilibrium selection," Open Access publications from Tilburg University urn:nbn:nl:ui:12-154416, Tilburg University.
    3. Carlsson, Hans, 1991. "A Bargaining Model Where Parties Make Errors," Econometrica, Econometric Society, vol. 59(5), pages 1487-96, September.
    4. Ganslandt, Mattias & Carlsson, Hans, 1997. "Noisy Equilibrium Selection in Coordination Games," Working Paper Series 485, Research Institute of Industrial Economics.
    5. Chen, H.-C. & Friedman, J. W. & Thisse, J.-F., . "Boundedly rational Nash equilibrium: a probabilistic choice approach," CORE Discussion Papers RP -1248, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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