IDEAS home Printed from https://ideas.repec.org/a/eee/eecrev/v166y2024ics0014292124000825.html
   My bibliography  Save this article

The role of payoff parameters for cooperation in the one-shot Prisoner's Dilemma

Author

Listed:
  • Gächter, Simon
  • Lee, Kyeongtae
  • Sefton, Martin
  • Weber, Till O.

Abstract

The Prisoner's Dilemma is arguably the most important model of social dilemmas, but our knowledge about how its material payoff structure affects cooperation is incomplete. We investigate the effect of variation in material payoffs on cooperation in one-shot Prisoner's Dilemma games. We report results from three experiments (N = 1,993): in a preliminary experiment, we vary the payoffs over a large range. In our first main experiment (Study 1), we present a novel design that varies payoffs orthogonally in a within-subjects design. Our second main experiment, Study 2, investigates the orthogonal variation of payoffs in a between-subjects design. In a complementary analysis we also study the closely related payoff indices of normalized loss and gain, and the K-index. A robust finding of our experiments is that cooperation increases with the gains of mutual cooperation over mutual defection.

Suggested Citation

  • Gächter, Simon & Lee, Kyeongtae & Sefton, Martin & Weber, Till O., 2024. "The role of payoff parameters for cooperation in the one-shot Prisoner's Dilemma," European Economic Review, Elsevier, vol. 166(C).
  • Handle: RePEc:eee:eecrev:v:166:y:2024:i:c:s0014292124000825
    DOI: 10.1016/j.euroecorev.2024.104753
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0014292124000825
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.euroecorev.2024.104753?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 look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Yoshie Matsumoto & Toshio Yamagishi & Yang Li & Toko Kiyonari, 2016. "Prosocial Behavior Increases with Age across Five Economic Games," PLOS ONE, Public Library of Science, vol. 11(7), pages 1-16, July.
    2. James Andreoni, 1995. "Warm-Glow versus Cold-Prickle: The Effects of Positive and Negative Framing on Cooperation in Experiments," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(1), pages 1-21.
    3. 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.
    4. 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.
    5. Miettinen, Topi & Kosfeld, Michael & Fehr, Ernst & Weibull, Jörgen, 2020. "Revealed preferences in a sequential prisoners’ dilemma: A horse-race between six utility functions," Journal of Economic Behavior & Organization, Elsevier, vol. 173(C), pages 1-25.
    6. Dufwenberg, Martin & Gächter, Simon & Hennig-Schmidt, Heike, 2011. "The framing of games and the psychology of play," Games and Economic Behavior, Elsevier, vol. 73(2), pages 459-478.
    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. Mariana Blanco & Dirk Engelmann & Alexander Koch & Hans-Theo Normann, 2010. "Belief elicitation in experiments: is there a hedging problem?," Experimental Economics, Springer;Economic Science Association, vol. 13(4), pages 412-438, December.
    9. Antonio A. Arechar & Simon Gächter & Lucas Molleman, 2018. "Conducting interactive experiments online," Experimental Economics, Springer;Economic Science Association, vol. 21(1), pages 99-131, March.
    10. Robert H. Frank & Thomas Gilovich & Dennis T. Regan, 1993. "Does Studying Economics Inhibit Cooperation?," Journal of Economic Perspectives, American Economic Association, vol. 7(2), pages 159-171, Spring.
    11. Stefan T. Trautmann & Gijs Kuilen, 2015. "Belief Elicitation: A Horse Race among Truth Serums," Economic Journal, Royal Economic Society, vol. 125(589), pages 2116-2135, December.
    12. 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.
    13. Malte Baader & Simon Gaechter & Kyeongtae Lee & Martin Sefton, 2022. "Social preferences and the variability of conditional cooperation," Discussion Papers 2022-13, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    14. Ben Greiner, 2015. "Subject pool recruitment procedures: organizing experiments with ORSEE," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 1(1), pages 114-125, July.
    15. Rachel T. A. Croson, 2007. "Theories Of Commitment, Altruism And Reciprocity: Evidence From Linear Public Goods Games," Economic Inquiry, Western Economic Association International, vol. 45(2), pages 199-216, April.
    16. Charness, Gary & Gneezy, Uri & Kuhn, Michael A., 2012. "Experimental methods: Between-subject and within-subject design," Journal of Economic Behavior & Organization, Elsevier, vol. 81(1), pages 1-8.
    17. Michael Bacharach, 2006. "The Hi-Lo Paradox, from Beyond Individual Choice: Teams and Frames in Game Theory," Introductory Chapters, in: Natalie Gold & Robert Sugden (ed.),Beyond Individual Choice: Teams and Frames in Game Theory, Princeton University Press.
    18. Gächter, Simon & Herrmann, Benedikt, 2011. "The limits of self-governance when cooperators get punished: Experimental evidence from urban and rural Russia," European Economic Review, Elsevier, vol. 55(2), pages 193-210, February.
    19. Daley, Brendan & Sadowski, Philipp, 2017. "Magical thinking: A representation result," Theoretical Economics, Econometric Society, vol. 12(2), May.
    20. Simon Gächter, 2010. "(Dis)advantages of student subjects: what is your research question?," RatSWD Working Papers 141, German Data Forum (RatSWD).
    21. Benjamin Beranek & Robin Cubitt & Simon Gächter, 2015. "Stated and revealed inequality aversion in three subject pools," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 1(1), pages 43-58, July.
    22. Urs Fischbacher & Simon Gachter, 2010. "Social Preferences, Beliefs, and the Dynamics of Free Riding in Public Goods Experiments," American Economic Review, American Economic Association, vol. 100(1), pages 541-556, March.
    23. Ingela Alger & Jörgen W. Weibull, 2013. "Homo Moralis—Preference Evolution Under Incomplete Information and Assortative Matching," Econometrica, Econometric Society, vol. 81(6), pages 2269-2302, November.
    24. Guttman, Joel M., 1986. "Matching behavior and collective action : Some experimental evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 7(2), pages 171-198, June.
    25. 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.
    26. Blanco, Mariana & Engelmann, Dirk & Normann, Hans Theo, 2011. "A within-subject analysis of other-regarding preferences," Games and Economic Behavior, Elsevier, vol. 72(2), pages 321-338, June.
    27. Axel Ockenfels & Gary E. Bolton, 2000. "ERC: A Theory of Equity, Reciprocity, and Competition," American Economic Review, American Economic Association, vol. 90(1), pages 166-193, March.
    28. Gächter, Simon & Kölle, Felix & Quercia, Simone, 2022. "Preferences and perceptions in Provision and Maintenance public goods," Games and Economic Behavior, Elsevier, vol. 135(C), pages 338-355.
    29. Bruno S. Frey & Stephan Meier, 2004. "Social Comparisons and Pro-social Behavior: Testing "Conditional Cooperation" in a Field Experiment," American Economic Review, American Economic Association, vol. 94(5), pages 1717-1722, December.
    30. Kocher, Martin G. & Martinsson, Peter & Visser, Martine, 2008. "Does stake size matter for cooperation and punishment?," Economics Letters, Elsevier, vol. 99(3), pages 508-511, June.
    31. Palfrey, Thomas R & Prisbrey, Jeffrey E, 1997. "Anomalous Behavior in Public Goods Experiments: How Much and Why?," American Economic Review, American Economic Association, vol. 87(5), pages 829-846, December.
    32. 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.
    33. 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.
    34. Merrill M. Flood, 1958. "Some Experimental Games," Management Science, INFORMS, vol. 5(1), pages 5-26, October.
    35. Frederic Moisan & Robert ten Brincke & Ryan O. Murphy & Cleotilde Gonzalez, 2018. "Not all Prisoner’s Dilemma games are equal : Incentives, social preferences, and cooperation," Post-Print hal-03188213, HAL.
    36. Pedro Dal Bó & Guillaume R. Fréchette, 2018. "On the Determinants of Cooperation in Infinitely Repeated Games: A Survey," Journal of Economic Literature, American Economic Association, vol. 56(1), pages 60-114, March.
    37. Ofra Amir & David G Rand & Ya'akov Kobi Gal, 2012. "Economic Games on the Internet: The Effect of $1 Stakes," PLOS ONE, Public Library of Science, vol. 7(2), pages 1-4, February.
    38. John A. List, 2004. "Young, Selfish and Male: Field evidence of social preferences," Economic Journal, Royal Economic Society, vol. 114(492), pages 121-149, January.
    39. Christoph Engel & Lilia Zhurakhovska, 2016. "When is the risk of cooperation worth taking? The prisoner’s dilemma as a game of multiple motives," Applied Economics Letters, Taylor & Francis Journals, vol. 23(16), pages 1157-1161, November.
    40. Gächter, Simon & Renner, Elke, 2018. "Leaders as role models and ‘belief managers’ in social dilemmas," Journal of Economic Behavior & Organization, Elsevier, vol. 154(C), pages 321-334.
    41. Praxmarer, Matthias & Rockenbach, Bettina & Sutter, Matthias, 2024. "Cooperation and norm enforcement differ strongly across adult generations," European Economic Review, Elsevier, vol. 162(C).
    42. Weber, Roberto A., 2003. "'Learning' with no feedback in a competitive guessing game," Games and Economic Behavior, Elsevier, vol. 44(1), pages 134-144, July.
    43. Marcus Giamattei & Kyanoush Seyed Yahosseini & Simon Gächter & Lucas Molleman, 2020. "LIONESS Lab: a free web-based platform for conducting interactive experiments online," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 6(1), pages 95-111, June.
    44. Gächter, Simon & Fages, Diego Marino, 2023. "Using the Strategy Method and Elicited Beliefs to Explain Group Size and MPCR Effects in Public Good Experiments," IZA Discussion Papers 16605, Institute of Labor Economics (IZA).
    45. Viviana Celli, 2022. "Causal mediation analysis in economics: Objectives, assumptions, models," Journal of Economic Surveys, Wiley Blackwell, vol. 36(1), pages 214-234, February.
    46. Schmidt, David & Shupp, Robert & Walker, James & Ahn, T. K. & Ostrom, Elinor, 2001. "Dilemma games: game parameters and matching protocols," Journal of Economic Behavior & Organization, Elsevier, vol. 46(4), pages 357-377, December.
    47. Stahl, Dale II, 1991. "The graph of Prisoners' Dilemma supergame payoffs as a function of the discount factor," Games and Economic Behavior, Elsevier, vol. 3(3), pages 368-384, August.
    48. Ahn, T K & Ostrom, Elinor & Shupp, Robert & Walker, James, 2001. "Cooperation in PD Games: Fear, Greed, and History of Play," Public Choice, Springer, vol. 106(1-2), pages 137-155, January.
    49. Erik Snowberg & Leeat Yariv, 2021. "Testing the Waters: Behavior across Participant Pools," American Economic Review, American Economic Association, vol. 111(2), pages 687-719, February.
    50. Sugden, Robert, 1984. "Reciprocity: The Supply of Public Goods through Voluntary Contributions," Economic Journal, Royal Economic Society, vol. 94(376), pages 772-787, December.
    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. Gächter, Simon & Lee, Kyeongtae & Sefton, Martin & Weber, Till O., 2021. "Risk, Temptation, and Efficiency in the One-Shot Prisoner's Dilemma," IZA Discussion Papers 14895, Institute of Labor Economics (IZA).
    2. Malte Baader & Simon Gaechter & Kyeongtae Lee & Martin Sefton, 2022. "Social Preferences and the Variability of Conditional Cooperation," CESifo Working Paper Series 9924, CESifo.
    3. Gächter, Simon & Kölle, Felix & Quercia, Simone, 2022. "Preferences and perceptions in Provision and Maintenance public goods," Games and Economic Behavior, Elsevier, vol. 135(C), pages 338-355.
    4. Kurt A. Ackermann & Ryan O. Murphy, 2019. "Explaining Cooperative Behavior in Public Goods Games: How Preferences and Beliefs Affect Contribution Levels," Games, MDPI, vol. 10(1), pages 1-34, March.
    5. Weber, Till O. & Schulz, Jonathan F. & Beranek, Benjamin & Lambarraa-Lehnhardt, Fatima & Gächter, Simon, 2023. "The behavioral mechanisms of voluntary cooperation across culturally diverse societies: Evidence from the US, the UK, Morocco, and Turkey," Journal of Economic Behavior & Organization, Elsevier, vol. 215(C), pages 134-152.
    6. Sebastian J. Goerg & David Rand & Gari Walkowitz, 2020. "Framing effects in the prisoner’s dilemma but not in the dictator game," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 6(1), pages 1-12, June.
    7. Thorsten Chmura & Christoph Engel & Markus Englerth, 2013. "Selfishness As a Potential Cause of Crime. A Prison Experiment," Discussion Paper Series of the Max Planck Institute for Research on Collective Goods 2013_05, Max Planck Institute for Research on Collective Goods.
    8. Christian Thoeni & Simon Gaechter, 2011. "Peer Effects and Social Preferences in Voluntary Cooperation," Discussion Papers 2011-09, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    9. Kim, Jeongbin & Putterman, Louis & Zhang, Xinyi, 2022. "Trust, Beliefs and Cooperation: Excavating a Foundation of Strong Economies," European Economic Review, Elsevier, vol. 147(C).
    10. Simon Gaechter & Kyeongtae Lee & Martin Sefton, 2020. "Risk, Temptation, and Efficiency in Prisoner's Dilemmas," Discussion Papers 2020-15, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    11. Müller, Stephan & Rau, Holger A., 2019. "Decisions under uncertainty in social contexts," Games and Economic Behavior, Elsevier, vol. 116(C), pages 73-95.
    12. Kölle, Felix & Gächter, Simon & Quercia, Simone, 2014. "The ABC of Cooperation in Voluntary Contribution and Common Pool Extraction Games," VfS Annual Conference 2014 (Hamburg): Evidence-based Economic Policy 100417, Verein für Socialpolitik / German Economic Association.
    13. Christoph Engel & Lilia Zhurakhovska, 2016. "When is the risk of cooperation worth taking? The prisoner’s dilemma as a game of multiple motives," Applied Economics Letters, Taylor & Francis Journals, vol. 23(16), pages 1157-1161, November.
    14. Carlos Alós-Ferrer & Jaume García-Segarra & Alexander Ritschel, 2018. "The Big Robber Game," ECON - Working Papers 291, Department of Economics - University of Zurich.
    15. Leibbrandt, Andreas & Lynham, John, 2018. "Does the allocation of property rights matter in the commons?," Journal of Environmental Economics and Management, Elsevier, vol. 89(C), pages 201-217.
    16. Urs Fischbacher & Simon Gachter, 2010. "Social Preferences, Beliefs, and the Dynamics of Free Riding in Public Goods Experiments," American Economic Review, American Economic Association, vol. 100(1), pages 541-556, March.
    17. Anna Conte & M. Levati, 2014. "Use of data on planned contributions and stated beliefs in the measurement of social preferences," Theory and Decision, Springer, vol. 76(2), pages 201-223, February.
    18. Antoni Bosch-Domènech & Joaquim Silvestre, 2017. "The role of frames, numbers and risk in the frequency of cooperation," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 64(3), pages 245-267, September.
    19. Hartig, Björn & Irlenbusch, Bernd & Kölle, Felix, 2015. "Conditioning on what? Heterogeneous contributions and conditional cooperation," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 55(C), pages 48-64.
    20. Gueye, Mamadou & Quérou, Nicolas & Soubeyran, Raphael, 2020. "Social preferences and coordination: An experiment," Journal of Economic Behavior & Organization, Elsevier, vol. 173(C), pages 26-54.

    More about this item

    Keywords

    Prisoner's Dilemma; Cooperation; Payoff parameters; Temptation; Risk; Efficiency; Normalized gain; Normalized loss; K-index; Experiments;
    All these keywords.

    JEL classification:

    • A13 - General Economics and Teaching - - General Economics - - - Relation of Economics to Social Values
    • C91 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Individual Behavior

    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:eecrev:v:166:y:2024:i:c:s0014292124000825. 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/eer .

    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.