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How to play (3 x 3)-games.: A strategy method experiment

  • Selten, Reinhard
  • Abbink, Klaus
  • Buchta, Joachim
  • Sadrieh, Abdolkarim

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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File URL: http://www.sciencedirect.com/science/article/pii/S0899-8256(02)00528-6
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Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 45 (2003)
Issue (Month): 1 (October)
Pages: 19-37

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Handle: RePEc:eee:gamebe:v:45:y:2003:i:1:p:19-37
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622836

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  1. Claudia Keser & Roy Gardner, 1999. "Strategic behavior of experienced subjects in a common pool resource game," International Journal of Game Theory, Springer;Game Theory Society, vol. 28(2), pages 241-252.
  2. Nagel, Rosemarie, 1993. "Experimental Results on Interactive Competitive Guessing," Discussion Paper Serie B 236, University of Bonn, Germany.
  3. Stahl II, D.O., 1991. "Evolution of Smart Players," Papers 9166, Tilburg - Center for Economic Research.
  4. Dale O. Stahl & Paul W. Wilson, 2010. "On Players' Models of Other Players: Theory and Experimental Evidence," Levine's Working Paper Archive 542, David K. Levine.
  5. Selten,Reinhard & Mitzkewitz,Michael & Uhlich,Gerald, . "Duopoly strategies programmed by experienced players," Discussion Paper Serie B 106, University of Bonn, Germany.
  6. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-26, December.
  7. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384.
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