IDEAS home Printed from https://ideas.repec.org/a/spr/jesaex/v6y2020i2d10.1007_s40881-020-00097-y.html
   My bibliography  Save this article

Heterogeneous trembles and model selection in the strategy frequency estimation method

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s40881-020-00097-y
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s40881-020-00097-y?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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. Nathaniel T Wilcox, 2006. "Theories of Learning in Games and Heterogeneity Bias," Econometrica, Econometric Society, vol. 74(5), pages 1271-1292, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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, revised Apr 2024.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Heller, Yuval & Tubul, Itay, 2023. "Strategies in the repeated prisoner’s dilemma: A cluster analysis," MPRA Paper 117444, University Library of Munich, Germany.
    2. Cason, Timothy N. & Mui, Vai-Lam, 2019. "Individual versus group choices of repeated game strategies: A strategy method approach," Games and Economic Behavior, Elsevier, vol. 114(C), pages 128-145.
    3. Fabian Dvorak & Sebastian Fehrler, 2024. "Negotiating Cooperation under Uncertainty: Communication in Noisy, Indefinitely Repeated Interactions," American Economic Journal: Microeconomics, American Economic Association, vol. 16(3), pages 232-258, August.
    4. Tetsuya Kawamura & Tiffany Tsz Kwan Tse, 2022. "Intelligence promotes cooperation in long-term interaction: experimental evidence in infinitely repeated public goods games," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 17(4), pages 927-946, October.
    5. Edoardo Gallo & Yohanes E. Riyanto & Nilanjan Roy & Tat-How Teh, 2022. "Cooperation and punishment mechanisms in uncertain and dynamic networks," Papers 2203.04001, arXiv.org.
    6. Felix Kölle & Simone Quercia & Egon Tripodi, 2023. "Social Preferences under the Shadow of the Future," Rationality and Competition Discussion Paper Series 406, CRC TRR 190 Rationality and Competition.
    7. Evans, Alecia & Sesmero, Juan, 2022. "Cooperation in Social Dilemmas with Correlated Noisy Payoffs: Theory and Experimental Evidence," 2021 Annual Meeting, August 1-3, Austin, Texas 322804, Agricultural and Applied Economics Association.
    8. 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.
    9. Evans, Alecia & Sesmero, Juan Pablo, 2022. "Noisy Payoffs in an Infinitely Repeated Prisoner’s Dilemma – Experimental Evidence," 2022 Annual Meeting, July 31-August 2, Anaheim, California 322434, Agricultural and Applied Economics Association.
    10. Gallo, Edoardo & Riyanto, Yohanes E. & Roy, Nilanjan & Teh, Tat-How, 2019. "Cooperation in an Uncertain and Dynamic World," MPRA Paper 97878, University Library of Munich, Germany.
    11. Gallo, Edoardo & Riyanto, Yohanes E. & Roy, Nilanjan & Teh, Tat-How, 2022. "Cooperation and punishment mechanisms in uncertain and dynamic social networks," Games and Economic Behavior, Elsevier, vol. 134(C), pages 75-103.
    12. 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.
    13. Maximilian Andres, 2023. "Communication in the Infinitely Repeated Prisoner's Dilemma: Theory and Experiments," Papers 2304.12297, arXiv.org.
    14. Drouvelis, Michalis & Pearce, Graeme, 2023. "Leadership under the shadow of the future: Intelligence and strategy choice in infinitely repeated games," European Economic Review, Elsevier, vol. 152(C).
    15. Ghidoni, Riccardo & Suetens, Sigrid, 2019. "Empirical Evidence on Repeated Sequential Games," Other publications TiSEM ff3a441f-e196-4e45-ba59-c, Tilburg University, School of Economics and Management.
    16. John Duffy & Janet Hua Jiang & Huan Xie, 2024. "Pricing Indefinitely Lived Assets: Experimental Evidence," Management Science, INFORMS, vol. 70(12), pages 8772-8790, December.
    17. Johnsen, Åshild A. & Kvaløy, Ola, 2021. "Conspiracy against the public - An experiment on collusion11“People of the same trade seldom meet together, even for merriment and diversion, but the conversation ends in a conspiracy against the publ," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 94(C).
    18. Evans, George W. & Hommes, Cars & McGough, Bruce & Salle, Isabelle, 2022. "Are long-horizon expectations (de-)stabilizing? Theory and experiments," Journal of Monetary Economics, Elsevier, vol. 132(C), pages 44-63.
    19. Yutaka Kayaba & Hitoshi Matsushima & Tomohisa Toyama, 2017. "Accuracy and Retaliation in Repeated Games with Imperfect Private Monitoring: Experiments and Theory (Revised version of F-381)," CARF F-Series CARF-F-414, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    20. Fabian Dvorak, 2020. "stratEst: Strategy Estimation in R," TWI Research Paper Series 119, Thurgauer Wirtschaftsinstitut, Universität Konstanz.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:jesaex:v:6:y:2020:i:2:d:10.1007_s40881-020-00097-y. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.