IDEAS home Printed from https://ideas.repec.org/p/cda/wpaper/353.html
   My bibliography  Save this paper

Motives Behind Cooperation in Finitely Repeated Prisoner's Dilemma

Author

Listed:
  • Anujit Chakraborty

    (Department of Economics, University of California Davis)

Abstract

This paper deploys a novel experiment to compare four theories that explain both selfish and non-selfish cooperation. The four theories capture incomplete information (à la Kreps et al. (1982)) alongside the following four non-selfish motives: caring about others (Altruism), being conscientious about cooperation (Duty), enjoying social-efficiency (Efficiency-Seeking), and reciprocity (Sequential Reciprocity). Our experimental design varies the decline-rate of future rewards, under which these theories make contrasting predictions. We find that Efficiency-Seeking is the other-regarding behavior that fits the experimental data best. A Finite Mixture Model analysis finds that 40-49% of our subjects are selfish, 36-45% are Efficiency-seeking, 1-4% are Duty players, and 6-20% are Altruistic.

Suggested Citation

  • Anujit Chakraborty, 2022. "Motives Behind Cooperation in Finitely Repeated Prisoner's Dilemma," Working Papers 353, University of California, Davis, Department of Economics.
  • Handle: RePEc:cda:wpaper:353
    as

    Download full text from publisher

    File URL: https://repec.dss.ucdavis.edu/files/QRHL6UZMxrmUg3PenfvdXFLF/FRPD_GEB_mar2023.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Ernst Fehr & Klaus M. Schmidt, 1999. "A Theory of Fairness, Competition, and Cooperation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(3), pages 817-868.
    3. Heller, Yuval, 2015. "Three steps ahead," Theoretical Economics, Econometric Society, vol. 10(1), January.
    4. Dirk Engelmann & Martin Strobel, 2004. "Inequality Aversion, Efficiency, and Maximin Preferences in Simple Distribution Experiments," American Economic Review, American Economic Association, vol. 94(4), pages 857-869, September.
    5. 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.
    6. Charness, Gary & Rigotti, Luca & Rustichini, Aldo, 2016. "Social surplus determines cooperation rates in the one-shot Prisoner's Dilemma," Games and Economic Behavior, Elsevier, vol. 100(C), pages 113-124.
    7. Cabral, Luis & Ozbay, Erkut Y. & Schotter, Andrew, 2014. "Intrinsic and instrumental reciprocity: An experimental study," Games and Economic Behavior, Elsevier, vol. 87(C), pages 100-121.
    8. Binmore, Ken & McCarthy, John & Ponti, Giovanni & Samuelson, Larry & Shaked, Avner, 2002. "A Backward Induction Experiment," Journal of Economic Theory, Elsevier, vol. 104(1), pages 48-88, May.
    9. 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.
    10. Gary Charness & Matthew Rabin, 2002. "Understanding Social Preferences with Simple Tests," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(3), pages 817-869.
    11. 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.
    12. McKelvey, Richard D & Palfrey, Thomas R, 1992. "An Experimental Study of the Centipede Game," Econometrica, Econometric Society, vol. 60(4), pages 803-836, July.
    13. Daniel Friedman & Ryan Oprea, 2012. "A Continuous Dilemma," American Economic Review, American Economic Association, vol. 102(1), pages 337-363, February.
    14. 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.
    15. Sabater-Grande, Gerardo & Georgantzis, Nikolaos, 2002. "Accounting for risk aversion in repeated prisoners' dilemma games: an experimental test," Journal of Economic Behavior & Organization, Elsevier, vol. 48(1), pages 37-50, May.
    16. 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.
    17. Palfrey, Thomas R. & Rosenthal, Howard, 1988. "Private incentives in social dilemmas : The effects of incomplete information and altruism," Journal of Public Economics, Elsevier, vol. 35(3), pages 309-332, April.
    18. Philippe Jehiel, 2001. "Limited Foresight May Force Cooperation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(2), pages 369-391.
    19. Guth, Werner & Tietz, Reinhard, 1990. "Ultimatum bargaining behavior : A survey and comparison of experimental results," Journal of Economic Psychology, Elsevier, vol. 11(3), pages 417-449, September.
    20. Caleb Cox & Matthew Jones & Kevin Pflum & Paul Healy, 2015. "Revealed reputations in the finitely repeated prisoners’ dilemma," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 58(3), pages 441-484, April.
    21. 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.
    22. Mengel, Friederike, 2014. "Learning by (limited) forward looking players," Journal of Economic Behavior & Organization, Elsevier, vol. 108(C), pages 59-77.
    23. Friederike Mengel, 2018. "Risk and Temptation: A Meta‐study on Prisoner's Dilemma Games," Economic Journal, Royal Economic Society, vol. 128(616), pages 3182-3209, December.
    24. Evan Calford & Ryan Oprea, 2017. "Continuity, Inertia, and Strategic Uncertainty: A Test of the Theory of Continuous Time Games," Econometrica, Econometric Society, vol. 85, pages 915-935, May.
    25. Matthew Embrey & Guillaume R Fréchette & Sevgi Yuksel, 2018. "Cooperation in the Finitely Repeated Prisoner’s Dilemma," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 133(1), pages 509-551.
    26. 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.
    27. Emanuel Vespa, 2020. "An Experimental Investigation Of Cooperation In The Dynamic Common Pool Game," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(1), pages 417-440, February.
    28. 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.
    29. 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.
    Full references (including those not matched with items on IDEAS)

    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. Chakraborty, Anujit, 2023. "Motives behind cooperation in finitely repeated prisoner's dilemma," Games and Economic Behavior, Elsevier, vol. 141(C), pages 105-132.
    2. Heller, Yuval & Tubul, Itay, 2023. "Strategies in the repeated prisoner’s dilemma: A cluster analysis," MPRA Paper 117444, University Library of Munich, Germany.
    3. 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.
    4. repec:tiu:tiucen:200922 is not listed on IDEAS
    5. Tóbiás, Áron, 2023. "Rational Altruism," Journal of Economic Behavior & Organization, Elsevier, vol. 207(C), pages 50-80.
    6. Ernesto Reuben & Sigrid Suetens, 2012. "Revisiting strategic versus non-strategic cooperation," Experimental Economics, Springer;Economic Science Association, vol. 15(1), pages 24-43, March.
    7. García-Pola, Bernardo & Iriberri, Nagore & Kovářík, Jaromír, 2020. "Non-equilibrium play in centipede games," Games and Economic Behavior, Elsevier, vol. 120(C), pages 391-433.
    8. 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.
    9. repec:tiu:tiucen:200833 is not listed on IDEAS
    10. John J Nay & Yevgeniy Vorobeychik, 2016. "Predicting Human Cooperation," PLOS ONE, Public Library of Science, vol. 11(5), pages 1-19, May.
    11. Normann, Hans-Theo & Sternberg, Martin, 2023. "Human-algorithm interaction: Algorithmic pricing in hybrid laboratory markets," European Economic Review, Elsevier, vol. 152(C).
    12. Maximilian Andres, 2023. "Communication in the Infinitely Repeated Prisoner's Dilemma: Theory and Experiments," Papers 2304.12297, arXiv.org.
    13. John Duffy & Felix Munoz-Garcia, 2009. "Patience or Fairness? Analyzing Social Preferences in Repeated Games," Working Paper 383, Department of Economics, University of Pittsburgh, revised Nov 2009.
    14. Stephen Dobson & John Goddard, 2018. "Games of Two Halves: Non-Experimental Evidence on Cooperation, Defection and the Prisoner’s Dilemma," Review of Economic Analysis, Digital Initiatives at the University of Waterloo Library, vol. 10(3), pages 285-312, May.
    15. Ernesto Reuben & Sigrid Suetens, 2018. "Instrumental Reciprocity as an Error," Games, MDPI, vol. 9(3), pages 1-9, September.
    16. Eugenio Proto & Aldo Rustichini & Andis Sofianos, 2019. "Intelligence, Personality, and Gains from Cooperation in Repeated Interactions," Journal of Political Economy, University of Chicago Press, vol. 127(3), pages 1351-1390.
    17. Dreber, Anna & Fudenberg, Drew & Rand, David G., 2014. "Who cooperates in repeated games: The role of altruism, inequity aversion, and demographics," Journal of Economic Behavior & Organization, Elsevier, vol. 98(C), pages 41-55.
    18. Matthew Embrey & Guillaume R Fréchette & Sevgi Yuksel, 2018. "Cooperation in the Finitely Repeated Prisoner’s Dilemma," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 133(1), pages 509-551.
    19. Robert S. Gibbons & Manuel Grieder & Holger Herz & Christian Zehnder, 2019. "Building an Equilibrium: Rules Versus Principles in Relational Contracts," CESifo Working Paper Series 7871, CESifo.
    20. Masaki Aoyagi & Guillaume Frechette & Sevgi Yuksel, 2021. "Beliefs in Repeated Games," ISER Discussion Paper 1119rr, Institute of Social and Economic Research, Osaka University, revised May 2022.
    21. Miriam Al Lily, 2023. "Establishing human connections: experimental evidence from the helping game," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(3), pages 805-832, September.
    22. John Duffy & Félix Muñoz-García, 2012. "Patience or Fairness? Analyzing Social Preferences in Repeated Games," Games, MDPI, vol. 3(1), pages 1-22, March.

    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
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior

    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:cda:wpaper:353. 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: Letters and Science IT Services Unit (email available below). General contact details of provider: https://edirc.repec.org/data/educdus.html .

    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.