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Evolution of “Pay-It-Forward” in the Presence of the Temptation to Free-Ride

Author

Listed:
  • Satoshi Uchida

    (Research Center for Ethi-Culture Studies, RINRI Institute, Tokyo 102-8561, Japan
    High-Tech Research Center, Kokushikan University, Tokyo 154-8515, Japan)

  • Tatsuya Sasaki

    (Department of Community Development, Koriyama Women’s College, Fukushima 963-8503, Japan)

  • Hitoshi Yamamoto

    (Faculty of Business Administration, Rissho University, Tokyo 141-8602, Japan)

  • Isamu Okada

    (Department of Business Administration, Soka University, Tokyo 192-8577, Japan)

Abstract

“Paying it forward” is a behavior in which people help someone else because they were helped in the past. Although experimental evidence exists that indicates that real human beings often “pay-it-forward” even in the face of free-rider risks, the theoretical basis for the evolution of this behavior remains unclear. In this paper, we propose a game-theoretical model that explains how pay-it-forward behavior can evolve despite the temptation to free-ride. By assuming that human beings exhibit cognitive distortions, as predicted by prospect theory, and that free-riding is punished with a tiny probability, we demonstrate that pay-it-forward, alongside unconditional altruistic behavior, can evolve and effectively deter free-riding behavior.

Suggested Citation

  • Satoshi Uchida & Tatsuya Sasaki & Hitoshi Yamamoto & Isamu Okada, 2024. "Evolution of “Pay-It-Forward” in the Presence of the Temptation to Free-Ride," Games, MDPI, vol. 15(3), pages 1-15, April.
  • Handle: RePEc:gam:jgames:v:15:y:2024:i:3:p:16-:d:1382824
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    References listed on IDEAS

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    1. Michael Kosfeld & Akira Okada & Arno Riedl, 2009. "Institution Formation in Public Goods Games," American Economic Review, American Economic Association, vol. 99(4), pages 1335-1355, September.
    2. 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.
    3. Pedro L Ferreira & Francisco C Santos & Sérgio Pequito, 2021. "Risk sensitivity and theory of mind in human coordination," PLOS Computational Biology, Public Library of Science, vol. 17(7), pages 1-22, July.
    4. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    5. 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..
    6. Chris Starmer, 2000. "Developments in Non-expected Utility Theory: The Hunt for a Descriptive Theory of Choice under Risk," Journal of Economic Literature, American Economic Association, vol. 38(2), pages 332-382, June.
    7. Gilboa,Itzhak, 2009. "Theory of Decision under Uncertainty," Cambridge Books, Cambridge University Press, number 9780521517324, November.
    8. Machina, Mark J, 1982. ""Expected Utility" Analysis without the Independence Axiom," Econometrica, Econometric Society, vol. 50(2), pages 277-323, March.
    9. Casari, Marco & Luini, Luigi, 2009. "Cooperation under alternative punishment institutions: An experiment," Journal of Economic Behavior & Organization, Elsevier, vol. 71(2), pages 273-282, August.
    10. Schmeidler, David, 1989. "Subjective Probability and Expected Utility without Additivity," Econometrica, Econometric Society, vol. 57(3), pages 571-587, May.
    11. Martin A. Nowak & Karl Sigmund, 2005. "Evolution of indirect reciprocity," Nature, Nature, vol. 437(7063), pages 1291-1298, October.
    12. Karl Sigmund & Hannelore De Silva & Arne Traulsen & Christoph Hauert, 2010. "Social learning promotes institutions for governing the commons," Nature, Nature, vol. 466(7308), pages 861-863, August.
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