IDEAS home Printed from https://ideas.repec.org/p/ecl/stabus/2088.html
   My bibliography  Save this paper

Time Horizon and Cooperation in Continuous Time

Author

Listed:
  • Bigoni, Maria

    (University of Bologna)

  • Casari, Marco

    (University of Bologna)

  • Skrzypacz, Andrzej

    (Stanford University)

  • Spagnolo, Giancarlo

    (University of Rome "Tor Vergata" and Stockholm School of Economics)

Abstract

When subjects interact in continuous time, their ability to cooperate may dramatically increase. In an experiment, we study the impact of different time horizons on cooperation in (quasi) continuous time prisoner's dilemmas. We find that cooperation levels are similar or higher when the horizon is deterministic rather than stochastic. Moreover, a deterministic duration generates different aggregate patterns and individual strategies than a stochastic one. For instance, under a deterministic horizon subjects show high initial cooperation and a strong end-of-period reversal to defection. Moreover, they do not learn to apply backward induction but to postpone defection closer to the end.

Suggested Citation

  • Bigoni, Maria & Casari, Marco & Skrzypacz, Andrzej & Spagnolo, Giancarlo, 2011. "Time Horizon and Cooperation in Continuous Time," Research Papers 2088, Stanford University, Graduate School of Business.
  • Handle: RePEc:ecl:stabus:2088
    as

    Download full text from publisher

    File URL: http://gsbapps.stanford.edu/researchpapers/library/RP2088.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Reinhard Selten & Michael Mitzkewitz & Gerald R. Uhlich, 1997. "Duopoly Strategies Programmed by Experienced Players," Econometrica, Econometric Society, vol. 65(3), pages 517-556, May.
    2. Kreps, David M. & Milgrom, Paul & Roberts, John & Wilson, Robert, 1982. "Rational cooperation in the finitely repeated prisoners' dilemma," Journal of Economic Theory, Elsevier, vol. 27(2), pages 245-252, August.
    3. Cooper, Russell & DeJong, Douglas V. & Forsythe, Robert & Ross, Thomas W., 1996. "Cooperation without Reputation: Experimental Evidence from Prisoner's Dilemma Games," Games and Economic Behavior, Elsevier, vol. 12(2), pages 187-218, February.
    4. Yuliy Sannikov & Andrzej Skrzypacz, 2007. "Impossibility of Collusion under Imperfect Monitoring with Flexible Production," American Economic Review, American Economic Association, vol. 97(5), pages 1794-1823, December.
    5. Oprea, Ryan & Charness, Gary & Friedman, Daniel, 2014. "Continuous time and communication in a public-goods experiment," Journal of Economic Behavior & Organization, Elsevier, vol. 108(C), pages 212-223.
    6. Thomas R. Palfrey & Howard Rosenthal, 1994. "Repeated Play, Cooperation and Coordination: An Experimental Study," Review of Economic Studies, Oxford University Press, vol. 61(3), pages 545-565.
    7. Esther Hauk & Rosemarie Nagel, 2000. "Choice of partners in multiple two-person prisoner's dilemma games: An experimental study," Economics Working Papers 487, Department of Economics and Business, Universitat Pompeu Fabra.
    8. Andreoni, James A & Miller, John H, 1993. "Rational Cooperation in the Finitely Repeated Prisoner's Dilemma: Experimental Evidence," Economic Journal, Royal Economic Society, vol. 103(418), pages 570-585, May.
    9. Siegfried Berninghaus & Karl-Martin Ehrhart & Marion Ott, 2006. "A network experiment in continuous time: The influence of link costs," Experimental Economics, Springer;Economic Science Association, vol. 9(3), pages 237-251, September.
    10. Ben Greiner, 2004. "The Online Recruitment System ORSEE 2.0 - A Guide for the Organization of Experiments in Economics," Working Paper Series in Economics 10, University of Cologne, Department of Economics.
    11. Simon, Leo K & Stinchcombe, Maxwell B, 1989. "Extensive Form Games in Continuous Time: Pure Strategies," Econometrica, Econometric Society, vol. 57(5), pages 1171-1214, September.
    12. Yoella Bereby-Meyer & Alvin E. Roth, 2006. "The Speed of Learning in Noisy Games: Partial Reinforcement and the Sustainability of Cooperation," American Economic Review, American Economic Association, vol. 96(4), pages 1029-1042, September.
    13. Ryan Oprea & Keith Henwood & Daniel Friedman, 2010. "Separating the Hawks from the Doves: Evidence from Continuous Time Laboratory Games," CESifo Working Paper Series 3129, CESifo.
    14. Borgers, Tilman & Sarin, Rajiv, 1997. "Learning Through Reinforcement and Replicator Dynamics," Journal of Economic Theory, Elsevier, vol. 77(1), pages 1-14, November.
    15. Engle-Warnick, Jim & Slonim, Robert L., 2004. "The evolution of strategies in a repeated trust game," Journal of Economic Behavior & Organization, Elsevier, vol. 55(4), pages 553-573, December.
    16. Cary Deck & Nikos Nikiforakis, 2012. "Perfect and imperfect real-time monitoring in a minimum-effort game," Experimental Economics, Springer;Economic Science Association, vol. 15(1), pages 71-88, March.
    17. Daniel Friedman & Ryan Oprea, 2012. "A Continuous Dilemma," American Economic Review, American Economic Association, vol. 102(1), pages 337-363, February.
    18. Bergin, James & MacLeod, W Bentley, 1993. "Continuous Time Repeated Games," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(1), pages 21-37, February.
    19. Selten, Reinhard & Stoecker, Rolf, 1986. "End behavior in sequences of finite Prisoner's Dilemma supergames A learning theory approach," Journal of Economic Behavior & Organization, Elsevier, vol. 7(1), pages 47-70, March.
    20. Szymanski, Stefan, 1996. "Making Hay While the Sun Shines," Journal of Industrial Economics, Wiley Blackwell, vol. 44(1), pages 1-16, March.
    21. Siegfried Berninghaus & Karl-Martin Ehrhart & Marion Ott & Bodo Vogt, 2007. "Evolution of networks—an experimental analysis," Journal of Evolutionary Economics, Springer, vol. 17(3), pages 317-347, June.
    22. Hans-Theo Normann & Brian Wallace, 2012. "The impact of the termination rule on cooperation in a prisoner’s dilemma experiment," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(3), pages 707-718, August.
    23. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796.
    24. Oprea, Ryan & Henwood, Keith & Friedman, Daniel, 2011. "Separating the Hawks from the Doves: Evidence from continuous time laboratory games," Journal of Economic Theory, Elsevier, vol. 146(6), pages 2206-2225.
    25. 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.
    Full references (including those not matched with items on IDEAS)

    More about this item

    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
    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:ecl:stabus:2088. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (). General contact details of provider: http://edirc.repec.org/data/gsstaus.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.