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The effect of nonlinear utility on behaviour in repeated prisoner’s dilemmas

Author

Listed:
  • M.A.L.M. van Assen

    (Tilburg University, The Netherlands, m.a.l.m.vanassen@uvt.nl)

  • C.C.P. Snijders

    (Eindhoven University of Technology, The Netherlands)

Abstract

The present study focuses on the effect of agents’ utility on their cooperation in indefinitely repeated two-person prisoner’s dilemma games (PDs). A game-theoretical analysis suggests that conditions for cooperation in the PDs improve with concavity of utility, with increasing risk aversion, and with increasing loss aversion in the case of PDs with both negative and positive outcomes. The hypotheses were tested in an experiment in which participants played a number of (different) indefinitely repeated PDs and their utility was elicited. The results provide no evidence that concave utility promotes cooperation in the PDs, but we do show that cooperation is promoted by risk aversion and possibly by loss aversion.

Suggested Citation

  • M.A.L.M. van Assen & C.C.P. Snijders, 2010. "The effect of nonlinear utility on behaviour in repeated prisoner’s dilemmas," Rationality and Society, , vol. 22(3), pages 301-332, August.
    • Handle: RePEc:sae:ratsoc:v:22:y:2010:i:3:p:301-332
    DOI: 10.1177/1043463110374499
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    References listed on IDEAS

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    1. Caroline Berden & Hans Peters, 2006. "On the Effect of Risk Aversion in Bimatrix Games," Theory and Decision, Springer, vol. 60(4), pages 359-370, June.
    2. Berejikian, Jeffrey, 1992. "Revolutionary Collective Action and the Agent-Structure Problem," American Political Science Review, Cambridge University Press, vol. 86(3), pages 647-657, September.
    3. Andreas Flache, 2001. "Individual Risk Preferences And Collective Outcomes In The Evolution Of Exchange Networks," Rationality and Society, , vol. 13(3), pages 304-348, August.
    4. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    5. Schmidt, David & Shupp, Robert & Walker, James M. & Ostrom, Elinor, 2003. "Playing safe in coordination games:: the roles of risk dominance, payoff dominance, and history of play," Games and Economic Behavior, Elsevier, vol. 42(2), pages 281-299, February.
    6. Amos Tversky & Daniel Kahneman, 1991. "Loss Aversion in Riskless Choice: A Reference-Dependent Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(4), pages 1039-1061.
    7. Drew Fudenberg & Eric Maskin, 2008. "The Folk Theorem In Repeated Games With Discounting Or With Incomplete Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 11, pages 209-230, World Scientific Publishing Co. Pte. Ltd..
    8. Charles A. Holt & Susan K. Laury, 2005. "Risk Aversion and Incentive Effects: New Data without Order Effects," American Economic Review, American Economic Association, vol. 95(3), pages 902-912, June.
    9. Peter Wakker & Daniel Deneffe, 1996. "Eliciting von Neumann-Morgenstern Utilities When Probabilities Are Distorted or Unknown," Management Science, INFORMS, vol. 42(8), pages 1131-1150, August.
    10. Richard H. Thaler & Eric J. Johnson, 1990. "Gambling with the House Money and Trying to Break Even: The Effects of Prior Outcomes on Risky Choice," Management Science, INFORMS, vol. 36(6), pages 643-660, June.
    11. Henry Stott, 2006. "Cumulative prospect theory's functional menagerie," Journal of Risk and Uncertainty, Springer, vol. 32(2), pages 101-130, March.
    12. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    13. Charles A. Holt & Susan K. Laury, 2002. "Risk Aversion and Incentive Effects," American Economic Review, American Economic Association, vol. 92(5), pages 1644-1655, December.
    14. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    15. Camerer, Colin F & Ho, Teck-Hua, 1994. "Violations of the Betweenness Axiom and Nonlinearity in Probability," Journal of Risk and Uncertainty, Springer, vol. 8(2), pages 167-196, March.
    16. Beattie, Jane & Loomes, Graham, 1997. "The Impact of Incentives upon Risky Choice Experiments," Journal of Risk and Uncertainty, Springer, vol. 14(2), pages 155-168, March.
    17. Isaac, R Mark & James, Duncan, 2000. "Just Who Are You Calling Risk Averse?," Journal of Risk and Uncertainty, Springer, vol. 20(2), pages 177-187, March.
    18. Dawes, Robyn M. & Mulford, Matthew, 1996. "The False Consensus Effect and Overconfidence: Flaws in Judgment or Flaws in How We Study Judgment?," Organizational Behavior and Human Decision Processes, Elsevier, vol. 65(3), pages 201-211, March.
    19. Peter H. Farquhar, 1984. "State of the Art---Utility Assessment Methods," Management Science, INFORMS, vol. 30(11), pages 1283-1300, November.
    20. Chris Snijders & Werner Raub, 1998. "Revolution And Risk," Rationality and Society, , vol. 10(4), pages 405-425, November.
    21. 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.
    22. Antoni Bosch-Domènech & Joaquim Silvestre, 2006. "Reflections on gains and losses: A 2 × 2 × 7 experiment," Journal of Risk and Uncertainty, Springer, vol. 33(3), pages 217-235, December.
    23. Mohammed Abdellaoui, 2000. "Parameter-Free Elicitation of Utility and Probability Weighting Functions," Management Science, INFORMS, vol. 46(11), pages 1497-1512, November.
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