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Equilibrium Play and Best Response to (Stated) Beliefs in Normal Form Games

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  • Pedro Rey-Biel

Abstract

We report experimental results on a series of ten one-shot two-person 3x3 normal form games with unique equilibrium in pure strategies played by non-economists. In contrast to previous experiments in which game theory predictions fail dramatically, a majority of actions taken coincided with the equilibrium prediction (70.2%) and were best-responses to subjects' stated beliefs (67.2%). In constant-sum games, 78% of actions taken were predicted by the equilibrium model, outperforming simple K-level reasoning models. We discuss how non-trivial game characteristics related to risk aversion, efficiency concerns and social preferences may affect the predictive value of different models in simple normal form games.
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Suggested Citation

  • Pedro Rey-Biel, "undated". "Equilibrium Play and Best Response to (Stated) Beliefs in Normal Form Games," Working Papers 318, Barcelona Graduate School of Economics.
    • Handle: RePEc:bge:wpaper:318
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    References listed on IDEAS

    as
    1. Stahl, Dale II & Wilson, Paul W., 1994. "Experimental evidence on players' models of other players," Journal of Economic Behavior & Organization, Elsevier, vol. 25(3), pages 309-327, December.
    2. 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.
    3. Costa-Gomes, Miguel & Crawford, Vincent P & Broseta, Bruno, 2001. "Cognition and Behavior in Normal-Form Games: An Experimental Study," Econometrica, Econometric Society, vol. 69(5), pages 1193-1235, September.
    4. Huck, Steffen & Weizsacker, Georg, 2002. "Do players correctly estimate what others do? : Evidence of conservatism in beliefs," Journal of Economic Behavior & Organization, Elsevier, vol. 47(1), pages 71-85, January.
    5. Crawford, Vincent P., 2002. "Introduction to Experimental Game Theory," Journal of Economic Theory, Elsevier, vol. 104(1), pages 1-15, May.
    6. Weizsacker, Georg, 2003. "Ignoring the rationality of others: evidence from experimental normal-form games," Games and Economic Behavior, Elsevier, vol. 44(1), pages 145-171, July.
    7. McKelvey Richard D. & Palfrey Thomas R., 1995. "Quantal Response Equilibria for Normal Form Games," Games and Economic Behavior, Elsevier, vol. 10(1), pages 6-38, July.
    8. Goeree, Jacob K. & Holt, Charles A., 2004. "A model of noisy introspection," Games and Economic Behavior, Elsevier, vol. 46(2), pages 365-382, February.
    9. Huck, Steffen & Weizsacker, Georg, 1999. "Risk, complexity, and deviations from expected-value maximization: Results of a lottery choice experiment," Journal of Economic Psychology, Elsevier, vol. 20(6), pages 699-715, December.
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    More about this item

    Keywords

    experiments; Normal Form Games; Constant Sum Games; Stated Beliefs; K-level reasoning;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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