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Heterogeneous trembles and model selection in the strategy frequency estimation method

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  • James R. Bland

    (The University of Toledo)

Abstract

The strategy frequency estimation method (Dal Bó and Fréchette in Am Econ Rev 101(1):411-429, 2011; Fudenberg in Am Econ Rev 102(2):720-749, 2012) allows us to estimate the fraction of subjects playing each of a list of strategies in an infinitely repeated game. Currently, this method assumes that subjects tremble with the same probability. This paper extends this method, so that subjects’ trembles can be heterogeneous. Out of 60 ex ante plausible specifications, the selected model uses the six strategies described in Dal Bó and Fréchette (2018), and allows the distribution of trembles to vary by strategy.

Suggested Citation

  • James R. Bland, 2020. "Heterogeneous trembles and model selection in the strategy frequency estimation method," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 6(2), pages 113-124, December.
    • Handle: RePEc:spr:jesaex:v:6:y:2020:i:2:d:10.1007_s40881-020-00097-y
    DOI: 10.1007/s40881-020-00097-y
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    References listed on IDEAS

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    1. Masaki Aoyagi & V. Bhaskar & Guillaume R. Fréchette, 2019. "The Impact of Monitoring in Infinitely Repeated Games: Perfect, Public, and Private," American Economic Journal: Microeconomics, American Economic Association, vol. 11(1), pages 1-43, February.
    2. Guillaume R. Fréchette & Sevgi Yuksel, 2017. "Infinitely repeated games in the laboratory: four perspectives on discounting and random termination," Experimental Economics, Springer;Economic Science Association, vol. 20(2), pages 279-308, June.
    3. Katerina Sherstyuk & Nori Tarui & Tatsuyoshi Saijo, 2013. "Payment schemes in infinite-horizon experimental games," Experimental Economics, Springer;Economic Science Association, vol. 16(1), pages 125-153, March.
    4. Romero, Julian & Rosokha, Yaroslav, 2018. "Constructing strategies in the indefinitely repeated prisoner’s dilemma game," European Economic Review, Elsevier, vol. 104(C), pages 185-219.
    5. Rand, David G. & Fudenberg, Drew & Dreber, Anna, 2015. "It's the thought that counts: The role of intentions in noisy repeated games," Journal of Economic Behavior & Organization, Elsevier, vol. 116(C), pages 481-499.
    6. Drew Fudenberg & David G. Rand & Anna Dreber, 2012. "Slow to Anger and Fast to Forgive: Cooperation in an Uncertain World," American Economic Review, American Economic Association, vol. 102(2), pages 720-749, April.
    7. Yaroslav Rosokha & Julian Romero, 2017. "Constructing Stategies in the Indefinitely Repeated Prisoner's Dilemma Game," Purdue University Economics Working Papers 1298, Purdue University, Department of Economics.
    8. Nathaniel T Wilcox, 2006. "Theories of Learning in Games and Heterogeneity Bias," Econometrica, Econometric Society, vol. 74(5), pages 1271-1292, September.
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    Cited by:

    1. Julian Romero & Yaroslav Rosokha, 2023. "Mixed Strategies in the Indefinitely Repeated Prisoner's Dilemma," Econometrica, Econometric Society, vol. 91(6), pages 2295-2331, November.
    2. Chowdhury Mohammad Sakib Anwar & Konstantinos Georgalos, 2023. "Position Uncertainty in a Sequential Public Goods Game: An Experiment," Papers 2308.00179, arXiv.org.

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    More about this item

    Keywords

    Prisoner’s dilemma; Strategy frequency estimation method; Mixture model; Model selection; Trembles;
    All these keywords.

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • C57 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Econometrics of Games and Auctions
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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