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How to play 3X3-games : a strategy method experiment

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Author Info
Selten, R.
Abbink, K.
Buchta, J.
Sadrieh, A. (Tilburg University, Center for Economic Research)

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Abstract

Using the strategy method (Selten 1967) we elicit subjects' strategies for playing any 2-person 3x3-game with integer payoffs between 0 and 99. In each of 5 tournaments, every strategy pair plays 500000 games. The frequency of pure strategy equilibrium play increases from 51% in the first to 74% in the last tournament, with the equilibria that maximize joint payoff being preferred when multiple exist. For games without pure equilibria, strategies are typically based on elements of the best-reply cascade: MAP (maximize the expected payoff against uniformly randomizing opponents), BR-MAP (best reply to MAP), and BR-BR-MAP (best reply to BR-MAP).

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 39.

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Date of creation: 2002
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Handle: RePEc:dgr:kubcen:200239

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Keywords: experimental economics

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Find related papers by JEL classification:
C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Claudia Keser & Roy Gardner, 1999. "Strategic behavior of experienced subjects in a common pool resource game," International Journal of Game Theory, Springer, vol. 28(2), pages 241-252. [Downloadable!] (restricted)
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  2. Reinhard Selten & Michael Mitzkewitz & Gerald R. Uhlich, 1997. "Duopoly Strategies Programmed by Experienced Players," Econometrica, Econometric Society, vol. 65(3), pages 517-556, May.
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  3. Stahl Dale O. & Wilson Paul W., 1995. "On Players' Models of Other Players: Theory and Experimental Evidence," Games and Economic Behavior, Elsevier, vol. 10(1), pages 218-254, July. [Downloadable!] (restricted)
  4. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-26, December. [Downloadable!] (restricted)
  5. Nagel, Rosemarie, 1993. "Experimental Results on Interactive Competitive Guessing," Discussion Paper Serie B 236, University of Bonn, Germany.
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Olivier Armantier, . "Does Wealth Affect Fairness Considerations?," Department of Economics Working Papers 01-05, SUNY-Stony Brook, Department of Economics. [Downloadable!]
  2. Boone, J. & Sadrieh, A. & van Ours, J. C., 2004. "Experiments on unemployment benefit sanctions and job search behavior," Discussion Paper 8, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  3. Staffiero, Gianandrea, 2006. "Helping the meaner, hurting the nicer: The contribution versus distribution game," IESE Research Papers D/652, IESE Business School. [Downloadable!]
  4. Olivier Armantier, 2006. "Do Wealth Differences Affect Fairness Considerations?," CIRANO Working Papers 2006s-13, CIRANO. [Downloadable!]
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