IDEAS home Printed from https://ideas.repec.org/p/bro/econwp/2007-7.html
   My bibliography  Save this paper

The Evolution of Cooperation in Infinitely Repeated Games: Experimental Evidence

Author

Abstract

A usual criticism of the theory of infinitely repeated games is that it does not provide sharp predictions since there may be a multiplicity of equilibria. To address this issue, we present experimental evidence on the evolution of cooperation in infinitely repeated prisoner's dilemma games as subjects gain experience. We show that cooperation may prevail in infinitely repeated games, but the conditions under which this occurs are more stringent than the subgame perfect conditions usually considered or even a condition based on risk dominance. (JEL C71, C73)
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Pedro Dal Bo & Guillaume R. Frechette, 2007. "The Evolution of Cooperation in Infinitely Repeated Games: Experimental Evidence," Working Papers 2007-7, Brown University, Department of Economics.
  • Handle: RePEc:bro:econwp:2007-7
    as

    Download full text from publisher

    File URL: http://www.brown.edu/academics/economics/sites/brown.edu.academics.economics/files/uploads/2007-7_paper.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Levine, David K. & Pesendorfer, Wolfgang, 2007. "The evolution of cooperation through imitation," Games and Economic Behavior, Elsevier, vol. 58(2), pages 293-315, February.
    2. 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.
    3. Pedro Dal Bó, 2005. "Cooperation under the Shadow of the Future: Experimental Evidence from Infinitely Repeated Games," American Economic Review, American Economic Association, vol. 95(5), pages 1591-1604, December.
    4. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, January.
    5. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, January.
    6. Fudenberg, Drew & Levine, David, 1998. "Learning in games," European Economic Review, Elsevier, vol. 42(3-5), pages 631-639, May.
    7. 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.
    8. Matthias Blonski & Giancarlo Spagnolo, 2015. "Prisoners’ other Dilemma," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(1), pages 61-81, February.
    9. Crawford, Vincent P, 1995. "Adaptive Dynamics in Coordination Games," Econometrica, Econometric Society, vol. 63(1), pages 103-143, January.
    10. Van Huyck, John B & Battalio, Raymond C & Beil, Richard O, 1990. "Tacit Coordination Games, Strategic Uncertainty, and Coordination Failure," American Economic Review, American Economic Association, vol. 80(1), pages 234-248, March.
    11. 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.
    12. repec:cup:apsrev:v:91:y:1997:i:02:p:290-307_20 is not listed on IDEAS
    13. Cooper, Russell, et al, 1990. "Selection Criteria in Coordination Games: Some Experimental Results," American Economic Review, American Economic Association, vol. 80(1), pages 218-233, March.
    14. Farrell, Joseph & Maskin, Eric, 1989. "Renegotiation in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 327-360, December.
    15. Fudenberg, Drew & Maskin, Eric, 1990. "Evolution and Cooperation in Noisy Repeated Games," American Economic Review, American Economic Association, vol. 80(2), pages 274-279, May.
    16. Binmore, K. & Samuelson, L., 1990. "Evolutionary Stability In Repeated Games Played By Finite Automata," Working papers 90-29, Wisconsin Madison - Social Systems.
    17. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
    18. Timothy N Cason & Vai-Lam Mui, 2008. "Coordinating Collective Resistance Through Communication And Repeated Interaction," Monash Economics Working Papers 16/08, Monash University, Department of Economics.
    19. Johnson, Philip & Levine, David K. & Pesendorfer, Wolfgang, 2001. "Evolution and Information in a Gift-Giving Game," Journal of Economic Theory, Elsevier, vol. 100(1), pages 1-21, September.
    20. 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.
    21. Volij, Oscar, 2002. "In Defense of DEFECT," Games and Economic Behavior, Elsevier, vol. 39(2), pages 309-321, May.
    22. Cheung, Yin-Wong & Friedman, Daniel, 1997. "Individual Learning in Normal Form Games: Some Laboratory Results," Games and Economic Behavior, Elsevier, vol. 19(1), pages 46-76, April.
    23. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    24. 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.
    25. ENGLE-WARNICK, Jim & McCAUSLAND, William J. & MILLER, John H., 2004. "The Ghost in the Machine: Inferring Machine-Based Strategies from Observed Behavior," Cahiers de recherche 2004-11, Universite de Montreal, Departement de sciences economiques.
    26. Roth, Alvin E. & Erev, Ido, 1995. "Learning in extensive-form games: Experimental data and simple dynamic models in the intermediate term," Games and Economic Behavior, Elsevier, vol. 8(1), pages 164-212.
    27. Feinberg, Robert M & Husted, Thomas A, 1993. "An Experimental Test of Discount-Rate Effects on Collusive Behaviour in Duopoly Markets," Journal of Industrial Economics, Wiley Blackwell, vol. 41(2), pages 153-160, June.
    28. Aoyagi, Masaki & Fréchette, Guillaume, 2009. "Collusion as public monitoring becomes noisy: Experimental evidence," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1135-1165, May.
    29. Binmore, Kenneth G. & Samuelson, Larry, 1992. "Evolutionary stability in repeated games played by finite automata," Journal of Economic Theory, Elsevier, vol. 57(2), pages 278-305, August.
    30. Abreu, Dilip & Rubinstein, Ariel, 1988. "The Structure of Nash Equilibrium in Repeated Games with Finite Automata," Econometrica, Econometric Society, vol. 56(6), pages 1259-1281, November.
    31. Colin Camerer & Teck-Hua Ho, 1999. "Experience-weighted Attraction Learning in Normal Form Games," Econometrica, Econometric Society, vol. 67(4), pages 827-874, July.
    32. Douglas Bernheim, B. & Ray, Debraj, 1989. "Collective dynamic consistency in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 295-326, December.
    33. 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.
    34. J. Keith Murnighan & Alvin E. Roth, 1983. "Expecting Continued Play in Prisoner's Dilemma Games," Journal of Conflict Resolution, Peace Science Society (International), vol. 27(2), pages 279-300, June.
    35. Cooper, David J., 1996. "Supergames Played by Finite Automata with Finite Costs of Complexity in an Evolutionary Setting," Journal of Economic Theory, Elsevier, vol. 68(1), pages 266-275, January.
    36. Fudenberg, Drew & Dreber, Anna & Rand, David G. & Nowak, Martin, 2008. "Winners Don't Punish," Scholarly Articles 2252594, Harvard University Department of Economics.
    37. Rubinstein, Ariel, 1986. "Finite automata play the repeated prisoner's dilemma," Journal of Economic Theory, Elsevier, vol. 39(1), pages 83-96, June.
    38. Masaki Aoyagi & Guillaume R. Frechette, 2004. "Collusion in Repeated Games with Imperfect Public Monitoring," Levine's Bibliography 122247000000000127, UCLA Department of Economics.
    39. Michihiro Kandori, 1992. "Social Norms and Community Enforcement," Review of Economic Studies, Oxford University Press, vol. 59(1), pages 63-80.
    40. Engle-Warnick, J. & Slonim, Robert L., 2006. "Learning to trust in indefinitely repeated games," Games and Economic Behavior, Elsevier, vol. 54(1), pages 95-114, January.
    41. Drew Fudenberg & David K. Levine, 1998. "The Theory of Learning in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061945, January.
    42. Kim, Yong-Gwan, 1994. "Evolutionarily stable strategies in the repeated prisoner's dilemma," Mathematical Social Sciences, Elsevier, vol. 28(3), pages 167-197, December.
    43. Duffy, John & Ochs, Jack, 2009. "Cooperative behavior and the frequency of social interaction," Games and Economic Behavior, Elsevier, vol. 66(2), pages 785-812, July.
    44. Charness, Gary & Frechette, Guillaume R. & Qin, Cheng-Zhong, 2007. "Endogenous transfers in the Prisoner's Dilemma game: An experimental test of cooperation and coordination," Games and Economic Behavior, Elsevier, vol. 60(2), pages 287-306, August.
    45. 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.
    Full references (including those not matched with items on IDEAS)

    More about this item

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

    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:bro:econwp:2007-7. 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: (Brown Economics Webmaster). General contact details of provider: .

    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.