IDEAS home Printed from https://ideas.repec.org/a/eee/gamebe/v82y2013icp91-102.html
   My bibliography  Save this article

Punishment strategies in repeated games: Evidence from experimental markets

Author

Listed:
  • Wright, Julian

Abstract

An experiment is designed to provide a snapshot of the strategies used by players in a repeated price competition game with a random continuation rule. One hundred pairs of subjects played the game over the Internet, with subjects having a few days to make their decisions in each round. Occasionally subjects are asked to enter one-period-ahead pricing strategies instead of prices. According to the elicited strategies, between 90% and 95% of subjects punish less harshly (in their initial response to a deviation) than implied by the grim trigger strategy, and do so in a way that depends on the size of the other subjectʼs deviation. Future earnings are highest for subjects adopting the tit-for-tat strategy, even after controlling for a subjectʼs past earnings. Punishment strategies are generally softer and more graduated than implied by a grim trigger strategy, and do better as a result.

Suggested Citation

  • Wright, Julian, 2013. "Punishment strategies in repeated games: Evidence from experimental markets," Games and Economic Behavior, Elsevier, vol. 82(C), pages 91-102.
  • Handle: RePEc:eee:gamebe:v:82:y:2013:i:c:p:91-102
    DOI: 10.1016/j.geb.2013.06.012
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S089982561300095X
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.geb.2013.06.012?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. Jim Engle-Warnick & Robert Slonim, 2006. "Inferring repeated-game strategies from actions: evidence from trust game experiments," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(3), pages 603-632, August.
    2. Jordi Brandts & Gary Charness, 2011. "The strategy versus the direct-response method: a first survey of experimental comparisons," Experimental Economics, Springer;Economic Science Association, vol. 14(3), pages 375-398, September.
    3. Charles F. Mason & Owen R. Phillips, 2002. "In Support of Trigger Strategies: Experimental Evidence from Two‐Person Noncooperative Games," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 11(4), pages 685-716, December.
    4. Samuelson, Larry, 1987. "Non-trivial subgame perfect duopoly equilibria can be supported by continuous reaction functions," Economics Letters, Elsevier, vol. 24(3), pages 207-211.
    5. Garrod, Luke, 2012. "Collusive price rigidity under price-matching punishments," International Journal of Industrial Organization, Elsevier, vol. 30(5), pages 471-482.
    6. James W. Friedman, 1971. "A Non-cooperative Equilibrium for Supergames," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(1), pages 1-12.
    7. Friedman James W. & Samuelson Larry, 1994. "Continuous Reaction Functions in Duopolies," Games and Economic Behavior, Elsevier, vol. 6(1), pages 55-82, January.
    8. Fischbacher, Urs & Gachter, Simon & Fehr, Ernst, 2001. "Are people conditionally cooperative? Evidence from a public goods experiment," Economics Letters, Elsevier, vol. 71(3), pages 397-404, June.
    9. Abreu, Dilip, 1988. "On the Theory of Infinitely Repeated Games with Discounting," Econometrica, Econometric Society, vol. 56(2), pages 383-396, March.
    10. Christoph Engel, 2007. "How Much Collusion? A Meta-Analysis Of Oligopoly Experiments," Journal of Competition Law and Economics, Oxford University Press, vol. 3(4), pages 491-549.
    11. Kalai, Ehud & Stanford, William, 1985. "Conjectural variations strategies in accelerated cournot games," International Journal of Industrial Organization, Elsevier, vol. 3(2), pages 133-152, June.
    12. Camera, Gabriele & Casari, Marco & Bigoni, Maria, 2012. "Cooperative strategies in anonymous economies: An experiment," Games and Economic Behavior, Elsevier, vol. 75(2), pages 570-586.
    13. Ernesto Reuben & Sigrid Suetens, 2012. "Revisiting strategic versus non-strategic cooperation," Experimental Economics, Springer;Economic Science Association, vol. 15(1), pages 24-43, March.
    14. Gabriele Camera & Marco Casari, 2009. "Cooperation among Strangers under the Shadow of the Future," American Economic Review, American Economic Association, vol. 99(3), pages 979-1005, June.
    15. Friedman, James W. & Samuelson, Larry, 1990. "Subgame perfect equilibrium with continuous reaction functions," Games and Economic Behavior, Elsevier, vol. 2(4), pages 304-324, December.
    16. Reinhard Selten & Michael Mitzkewitz & Gerald R. Uhlich, 1997. "Duopoly Strategies Programmed by Experienced Players," Econometrica, Econometric Society, vol. 65(3), pages 517-556, May.
    17. 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.
    18. Pedro Dal Bo & Guillaume R. Frochette, 2011. "The Evolution of Cooperation in Infinitely Repeated Games: Experimental Evidence," American Economic Review, American Economic Association, vol. 101(1), pages 411-429, February.
    19. Abreu, Dilip, 1986. "Extremal equilibria of oligopolistic supergames," Journal of Economic Theory, Elsevier, vol. 39(1), pages 191-225, June.
    20. Lu, Yuanzhu & Wright, Julian, 2010. "Tacit collusion with price-matching punishments," International Journal of Industrial Organization, Elsevier, vol. 28(3), pages 298-306, May.
    21. Margaret E. Slade, 1992. "Vancouver's Gasoline-Price Wars: An Empirical Exercise in Uncovering Supergame Strategies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(2), pages 257-276.
    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. Paolo Crosetto & Alexia Gaudeul, 2014. "Choosing whether to compete: Price and format competition with consumer confusion," Jena Economics Research Papers 2014-026, Friedrich-Schiller-University Jena.
    2. Werner, Tobias, 2021. "Algorithmic and human collusion," DICE Discussion Papers 372, Heinrich Heine University Düsseldorf, Düsseldorf Institute for Competition Economics (DICE).
    3. Correia-da-Silva João & Pinho Joana & Vasconcelos Hélder, 2015. "How Should Cartels React to Entry Triggered by Demand Growth?," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 15(1), pages 1-47, January.
    4. Lijia Tan & Lijia Wei, 2014. "Special Section: Experiments on Learning, Methods, and Voting," Pacific Economic Review, Wiley Blackwell, vol. 19(3), pages 313-331, August.
    5. Stephen Martin, 2018. "Behavioral antitrust," Chapters, in: Victor J. Tremblay & Elizabeth Schroeder & Carol Horton Tremblay (ed.), Handbook of Behavioral Industrial Organization, chapter 15, pages 404-454, Edward Elgar Publishing.
    6. Schimit, P.H.T. & Santos, B.O. & Soares, C.A., 2015. "Evolution of cooperation in Axelrod tournament using cellular automata," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 204-217.

    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. Lu, Yuanzhu & Wright, Julian, 2010. "Tacit collusion with price-matching punishments," International Journal of Industrial Organization, Elsevier, vol. 28(3), pages 298-306, May.
    2. repec:tiu:tiucen:200922 is not listed on IDEAS
    3. Ernesto Reuben & Sigrid Suetens, 2012. "Revisiting strategic versus non-strategic cooperation," Experimental Economics, Springer;Economic Science Association, vol. 15(1), pages 24-43, March.
    4. repec:tiu:tiucen:200833 is not listed on IDEAS
    5. Takashi Kamihigashi & Taiji Furusawa, 2007. "Global Dynamics in Infinitely Repeated Games with Additively Separable Continuous Payoffs," Discussion Paper Series 210, Research Institute for Economics & Business Administration, Kobe University.
    6. Bigoni, Maria & Camera, Gabriele & Casari, Marco, 2013. "Strategies of cooperation and punishment among students and clerical workers," Journal of Economic Behavior & Organization, Elsevier, vol. 94(C), pages 172-182.
    7. 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.
    8. Garrod, Luke, 2012. "Collusive price rigidity under price-matching punishments," International Journal of Industrial Organization, Elsevier, vol. 30(5), pages 471-482.
    9. Camera, Gabriele & Casari, Marco & Bigoni, Maria, 2012. "Cooperative strategies in anonymous economies: An experiment," Games and Economic Behavior, Elsevier, vol. 75(2), pages 570-586.
    10. Jones, Matthew T., 2014. "Strategic complexity and cooperation: An experimental study," Journal of Economic Behavior & Organization, Elsevier, vol. 106(C), pages 352-366.
    11. Duffy, John & Xie, Huan, 2016. "Group size and cooperation among strangers," Journal of Economic Behavior & Organization, Elsevier, vol. 126(PA), pages 55-74.
    12. 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.
    13. Maria Bigoni & Gabriele Camera & Marco Casari, 2019. "Cooperation among strangers with and without a monetary system," Working Papers 19-01, Chapman University, Economic Science Institute.
    14. 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.
    15. Pablo Hernandez-Lagos & Dylan Minor & Dana Sisak, 2017. "Do people who care about others cooperate more? Experimental evidence from relative incentive pay," Experimental Economics, Springer;Economic Science Association, vol. 20(4), pages 809-835, December.
    16. Heller, Yuval & Tubul, Itay, 2023. "Strategies in the repeated prisoner’s dilemma: A cluster analysis," MPRA Paper 117444, University Library of Munich, Germany.
    17. Schubert, Jens, 2015. "The impact of forward contracting on tacit collusion: Experimental evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 119(C), pages 109-123.
    18. Mermer, Ayşe Gül & Müller, Wieland & Suetens, Sigrid, 2021. "Cooperation in infinitely repeated games of strategic complements and substitutes," Journal of Economic Behavior & Organization, Elsevier, vol. 188(C), pages 1191-1205.
    19. Bigoni, Maria & Fort, Margherita, 2013. "Information and learning in oligopoly: An experiment," Games and Economic Behavior, Elsevier, vol. 81(C), pages 192-214.
    20. Raphael Thomadsen & Ki-Eun Rhee, 2007. "Costly Collusion in Differentiated Industries," Marketing Science, INFORMS, vol. 26(5), pages 660-665, 09-10.
    21. Ghidoni, Riccardo & Cleave, Blair L. & Suetens, Sigrid, 2019. "Perfect and imperfect strangers in social dilemmas," European Economic Review, Elsevier, vol. 116(C), pages 148-159.
    22. Pedro Dal Bó & Guillaume R. Fréchette, 2019. "Strategy Choice in the Infinitely Repeated Prisoner's Dilemma," American Economic Review, American Economic Association, vol. 109(11), pages 3929-3952, November.

    More about this item

    Keywords

    Experiment; Cooperation; Tit-for-tat; Grim trigger strategy;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • C90 - Mathematical and Quantitative Methods - - Design of Experiments - - - General
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

    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:eee:gamebe:v:82:y:2013:i:c:p:91-102. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622836 .

    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.