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Payment Schemes in Infinite-Horizon Experimental Games

Author

Listed:
  • Katerina Sherstyuk

    (Department of Economics, University of Hawaii at Manoa)

  • Nori Tarui

    (Department of Economics, University of Hawaii at Manoa)

  • Tatsuyoshi Saijo

    (Department of Economics, Osaka University)

Abstract

We consider payment schemes in experiments that model infinite-horizon games by using random termination. We compare paying subjects cumulatively for all periods of the game; with paying subjects for the last period only; with paying for one of the periods, chosen randomly. Theoretically, assuming expected utility maximization and risk neutrality, both the Cumulative and the Last period payment schemes induce preferences that are equivalent to maximizing the discounted sum of utilities. The Last-period payment is also robust under different attitudes towards risk. In comparison, paying subjects for one of the periods chosen randomly creates a present period bias. We further provide experimental evidence from in nitely repeated Prisoners' Dilemma games that supports the above theoretical predictions.

Suggested Citation

  • Katerina Sherstyuk & Nori Tarui & Tatsuyoshi Saijo, 2011. "Payment Schemes in Infinite-Horizon Experimental Games," Working Papers 201118, University of Hawaii at Manoa, Department of Economics.
  • Handle: RePEc:hai:wpaper:201118
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    File URL: http://www.economics.hawaii.edu/research/workingpapers/WP_11-18.pdf
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    Cited by:

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    3. Arun Gautham Chandrasekhar & Juan Pablo Xandri, 2023. "A note on payments in the lab for infinite horizon dynamic games with discounting," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(2), pages 389-426, February.
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    5. Charness, Gary & Gneezy, Uri & Halladay, Brianna, 2016. "Experimental methods: Pay one or pay all," Journal of Economic Behavior & Organization, Elsevier, vol. 131(PA), pages 141-150.
    6. Johnsen, Åshild Auglænd, 2017. "Conspiracy against the public - an experiment on collusion," Working Paper Series 03-2017, Norwegian University of Life Sciences, School of Economics and Business.
    7. Hample, Kelsey C, 2020. "Experimental methodology: Assigning pro-social groups in the lab," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 88(C).
    8. Emanuel Vespa & Taylor Weidman & Alistair J. Wilson, 2021. "Testing Models of Strategic Uncertainty: Equilibrium Selection in Repeated Games," Papers 2101.05900, arXiv.org.
    9. 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.
    10. Johnsen, Åshild A. & Kvaløy, Ola, 2021. "Conspiracy against the public - An experiment on collusion11“People of the same trade seldom meet together, even for merriment and diversion, but the conversation ends in a conspiracy against the publ," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 94(C).
    11. Heller, Yuval & Tubul, Itay, 2023. "Strategies in the repeated prisoner’s dilemma: A cluster analysis," MPRA Paper 117444, University Library of Munich, Germany.
    12. Yaron Azrieli & Christopher P. Chambers & Paul J. Healy, 2018. "Incentives in Experiments: A Theoretical Analysis," Journal of Political Economy, University of Chicago Press, vol. 126(4), pages 1472-1503.
    13. Maximilian Andres, 2023. "Communication in the Infinitely Repeated Prisoner's Dilemma: Theory and Experiments," Papers 2304.12297, arXiv.org.
    14. John Duffy & Janet Hua Jiang & Huan Xie, 2021. "Pricing Indefinitely Lived Assets: Experimental Evidence," CIRANO Working Papers 2021s-32, CIRANO.
    15. Evans, George W. & Hommes, Cars & McGough, Bruce & Salle, Isabelle, 2022. "Are long-horizon expectations (de-)stabilizing? Theory and experiments," Journal of Monetary Economics, Elsevier, vol. 132(C), pages 44-63.
    16. Gabriele Camera & Cary Deck & David Porter, 2020. "Do economic inequalities affect long-run cooperation and prosperity?," Experimental Economics, Springer;Economic Science Association, vol. 23(1), pages 53-83, March.
    17. Felix Kölle & Simone Quercia & Egon Tripodi, 2023. "Social Preferences under the Shadow of the Future," Rationality and Competition Discussion Paper Series 406, CRC TRR 190 Rationality and Competition.
    18. Gabriele Camera & Cary Deck & David Porter, 2019. "Do Economic Inequalities Affect Long-Run Cooperation & Prosperity?," Working Papers 19-09, Chapman University, Economic Science Institute.
    19. John Duffy & Janet Hua Jiang & Huan Xie, 2019. "Experimental Asset Markets with An Indefinite Horizon," CIRANO Working Papers 2019s-15, CIRANO.
    20. Gabriele Camera & Cary Deck & David Porter, 2016. "Do Economic Inequalities Affect Long-Run Cooperation?," Working Papers 16-18, Chapman University, Economic Science Institute.
    21. Leo, Greg, 2017. "Taking turns," Games and Economic Behavior, Elsevier, vol. 102(C), pages 525-547.
    22. James R. Bland, 2020. "Heterogeneous trembles and model selection in the strategy frequency estimation method," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 6(2), pages 113-124, December.
    23. Voslinsky, Alisa & Azar, Ofer H., 2021. "Incentives in experimental economics," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 93(C).
    24. Emanuel Vespa & Alistair J. Wilson, 2015. "Dynamic Incentives and Markov Perfection: Putting the 'Conditional' in Conditional Cooperation," CESifo Working Paper Series 5413, CESifo.

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    More about this item

    Keywords

    economic experiments; infinite-horizon games; random termination;
    All these keywords.

    JEL classification:

    • C90 - Mathematical and Quantitative Methods - - Design of Experiments - - - General
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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