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A Quantal Response Equilibrium Model of Order Statistic Games

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Author Info
Kang-Oh Yi (Sogang University)
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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Paper provided by Department of Economics, UC San Diego in its series University of California at San Diego, Economics Working Paper Series with number 1999-17.

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Date of creation: 01 Aug 1999
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Handle: RePEc:cdl:ucsdec:1999-17

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

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  1. Carlsson, Hans & van Damme, Eric, 1993. "Global Games and Equilibrium Selection," Econometrica, Econometric Society, vol. 61(5), pages 989-1018, September. [Downloadable!] (restricted)
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  2. Vincent P. Crawford, 1990. "An 'Evolutionary' Interpretation of Van Huyck, Battalio, and Beil's Experimental Results on Coordination," University of California at San Diego, Economics Working Paper Series 89-28r, Department of Economics, UC San Diego.
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  3. Crawford, Vincent P, 1995. "Adaptive Dynamics in Coordination Games," Econometrica, Econometric Society, vol. 63(1), pages 103-43, January. [Downloadable!] (restricted)
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  4. 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. [Downloadable!] (restricted)
  5. Cooper, Russell & John, Andrew, 1988. "Coordinating Coordination Failures in Keynesian Models," The Quarterly Journal of Economics, MIT Press, vol. 103(3), pages 441-63, August. [Downloadable!] (restricted)
  6. Carlsson, Hans & Ganslandt, Mattias, 1998. "Noisy equilibrium selection in coordination games," Economics Letters, Elsevier, vol. 60(1), pages 23-34, July. [Downloadable!] (restricted)
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  7. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January. [Downloadable!] (restricted)
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  8. Morris, Stephen & Rob, Rafael & Shin, Hyun Song, 1995. "Dominance and Belief Potential," Econometrica, Econometric Society, vol. 63(1), pages 145-57, January. [Downloadable!] (restricted)
  9. Simon P. Anderson & Jacob K. Goeree & Charles A. Holt, 1998. "Rent Seeking with Bounded Rationality: An Analysis of the All-Pay Auction," Journal of Political Economy, University of Chicago Press, vol. 106(4), pages 828-853, August. [Downloadable!] (restricted)
  10. Carlsson, Hans, 1991. "A Bargaining Model Where Parties Make Errors," Econometrica, Econometric Society, vol. 59(5), pages 1487-96, September. [Downloadable!] (restricted)
  11. Van Huyck, John B & Battalio, Raymond C & Beil, Richard O, 1990. "Tacit Coordination Games, Strategic Uncertainty, and Coordination Failure," American Economic Review, American Economic Association, vol. 80(1), pages 234-48, March. [Downloadable!] (restricted)
  12. C. Monica Capra & Charles A. Holt, 1999. "Coordination," Southern Economic Journal, Southern Economic Association, vol. 65(3), pages 630-636, January.
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