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Comparing theories of one-shot play out of treatment

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  • Külpmann, Philipp
  • Kuzmics, Christoph

Abstract

We collected data on one-shot play for a representative selection of two-player two- and three-strategy games with unique and completely mixed strategy predictions and propose a new method to compare theories of one-shot play “out of treatment” that allows a direct likelihood comparison: Competing theories are calibrated with pre-existing data using different games and subjects. Most theories in most treatments have predictive power. No theory is uniformly best. Considering risk aversion significantly improves predictive power. Nash equilibrium with risk aversion is among the best predictors of play in four of six treatment groups: the exceptions are the behavior of individuals in the asymmetric own-payoff player positions in games of a matching pennies and rock-scissors-paper variety.

Suggested Citation

  • Külpmann, Philipp & Kuzmics, Christoph, 2022. "Comparing theories of one-shot play out of treatment," Journal of Economic Theory, Elsevier, vol. 205(C).
    • Handle: RePEc:eee:jetheo:v:205:y:2022:i:c:s0022053122001442
    DOI: 10.1016/j.jet.2022.105554
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    as
    1. 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.
    2. Ben Greiner, 2015. "Subject pool recruitment procedures: organizing experiments with ORSEE," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 1(1), pages 114-125, July.
    3. Philip A. Haile & Ali Hortaçsu & Grigory Kosenok, 2008. "On the Empirical Content of Quantal Response Equilibrium," American Economic Review, American Economic Association, vol. 98(1), pages 180-200, March.
    4. Ernst Fehr & Klaus M. Schmidt, 2004. "Fairness and Incentives in a Multi‐task Principal–Agent Model," Scandinavian Journal of Economics, Wiley Blackwell, vol. 106(3), pages 453-474, October.
    5. Drew Fudenberg & Annie Liang, 2019. "Predicting and Understanding Initial Play," American Economic Review, American Economic Association, vol. 109(12), pages 4112-4141, December.
    6. 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.
    7. Jürgen Eichberger & David Kelsey, 2011. "Are the treasures of game theory ambiguous?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 48(2), pages 313-339, October.
    8. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 817-868.
    9. Harless, David W & Camerer, Colin F, 1994. "The Predictive Utility of Generalized Expected Utility Theories," Econometrica, Econometric Society, vol. 62(6), pages 1251-1289, November.
    10. Goeree, Jacob K. & Holt, Charles A., 2004. "A model of noisy introspection," Games and Economic Behavior, Elsevier, vol. 46(2), pages 365-382, February.
    11. Axel Ockenfels & Gary E. Bolton, 2000. "ERC: A Theory of Equity, Reciprocity, and Competition," American Economic Review, American Economic Association, vol. 90(1), pages 166-193, March.
    12. Nagel, Rosemarie, 1995. "Unraveling in Guessing Games: An Experimental Study," American Economic Review, American Economic Association, vol. 85(5), pages 1313-1326, December.
    13. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
    14. Jacob K. Goeree & Charles A. Holt, 2001. "Ten Little Treasures of Game Theory and Ten Intuitive Contradictions," American Economic Review, American Economic Association, vol. 91(5), pages 1402-1422, December.
    15. Wright, James R. & Leyton-Brown, Kevin, 2017. "Predicting human behavior in unrepeated, simultaneous-move games," Games and Economic Behavior, Elsevier, vol. 106(C), pages 16-37.
    16. Camerer, Colin & Nunnari, Salvatore & Palfrey, Thomas R., 2016. "Quantal response and nonequilibrium beliefs explain overbidding in maximum-value auctions," Games and Economic Behavior, Elsevier, vol. 98(C), pages 243-263.
    17. Alós-Ferrer, Carlos & Kuzmics, Christoph, 2013. "Hidden symmetries and focal points," Journal of Economic Theory, Elsevier, vol. 148(1), pages 226-258.
    18. Binmore, Ken & Shaked, Avner, 2010. "Experimental economics: Where next?," Journal of Economic Behavior & Organization, Elsevier, vol. 73(1), pages 87-100, January.
    19. Christoph Brunner & Colin F. Camerer & Jacob K. Goeree, 2011. "Stationary Concepts for Experimental 2 X 2 Games: Comment," American Economic Review, American Economic Association, vol. 101(2), pages 1029-1040, April.
    20. John D. Hey & Chris Orme, 2018. "Investigating Generalizations Of Expected Utility Theory Using Experimental Data," World Scientific Book Chapters, in: Experiments in Economics Decision Making and Markets, chapter 3, pages 63-98, World Scientific Publishing Co. Pte. Ltd..
    21. Vuong, Quang H, 1989. "Likelihood Ratio Tests for Model Selection and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 57(2), pages 307-333, March.
    22. Christoph Kuzmics & Brian W. Rogers, 2010. "An Incomplete Information Justification of Symmetric Equilibrium in Symmetric Games," Levine's Working Paper Archive 661465000000000332, David K. Levine.
    23. Reinhard Selten & Thorsten Chmura & Sebastian J. Goerg, 2011. "Stationary Concepts for Experimental 2 X 2 Games: Reply," American Economic Review, American Economic Association, vol. 101(2), pages 1041-1044, April.
    24. Reinhard Selten & Thorsten Chmura, 2008. "Stationary Concepts for Experimental 2x2-Games," American Economic Review, American Economic Association, vol. 98(3), pages 938-966, June.
    25. Ayala Arad & Ariel Rubinstein, 2012. "The 11-20 Money Request Game: A Level-k Reasoning Study," American Economic Review, American Economic Association, vol. 102(7), pages 3561-3573, December.
    26. 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.
    27. Glenn Harrison & E. Rutström, 2009. "Expected utility theory and prospect theory: one wedding and a decent funeral," Experimental Economics, Springer;Economic Science Association, vol. 12(2), pages 133-158, June.
    28. Binmore, Ken & Shaked, Avner, 2010. "Experimental Economics: Where Next? Rejoinder," Journal of Economic Behavior & Organization, Elsevier, vol. 73(1), pages 120-121, January.
    29. Ochs Jack, 1995. "Games with Unique, Mixed Strategy Equilibria: An Experimental Study," Games and Economic Behavior, Elsevier, vol. 10(1), pages 202-217, July.
    30. Goeree, Jacob K. & Holt, Charles A. & Palfrey, Thomas R., 2003. "Risk averse behavior in generalized matching pennies games," Games and Economic Behavior, Elsevier, vol. 45(1), pages 97-113, October.
    31. Colin F. Camerer & Teck-Hua Ho & Juin-Kuan Chong, 2004. "A Cognitive Hierarchy Model of Games," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(3), pages 861-898.
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    More about this item

    Keywords

    Testing theories; Risk aversion; Nash equilibrium; Quantal response equilibria; Level k theory; Cognitive hierarchy theory;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior

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