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Repeated games with present-biased preferences

Author

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  • Chade, Hector
  • Prokopovych, Pavlo
  • Smith, Lones
Abstract
We study infinitely repeated games with perfect monitoring, where players have [beta]-[delta] preferences. We compute the continuation payoff set using recursive techniques and then characterize equilibrium payoffs. We then explore the cost of the present-time bias, producing comparative statics. Unless the minimax outcome is a Nash equilibrium of the stage game, the equilibrium payoff set is not monotonic in [beta] or [delta]. Finally, we show how the equilibrium payoff set is contained in that of a repeated game with smaller discount factor.

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  • Chade, Hector & Prokopovych, Pavlo & Smith, Lones, 2008. "Repeated games with present-biased preferences," Journal of Economic Theory, Elsevier, vol. 139(1), pages 157-175, March.
    • Handle: RePEc:eee:jetheo:v:139:y:2008:i:1:p:157-175
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    7. Cheng, Long & McDonald, Stuart & Ye, Guangliang, 2023. "Cartelization under present bias and imperfect public signals," Mathematical Social Sciences, Elsevier, vol. 123(C), pages 77-86.
    8. Bernergård, Axel, 2011. "Folk Theorems for Present-Biased Players," SSE/EFI Working Paper Series in Economics and Finance 736, Stockholm School of Economics.
    9. Akin, Zafer, 2009. "Imperfect information processing in sequential bargaining games with present biased preferences," Journal of Economic Psychology, Elsevier, vol. 30(4), pages 642-650, August.
    10. Sebastian Schweighofer-Kodritsch, 2015. "Time Preferences and Bargaining," STICERD - Theoretical Economics Paper Series /2015/568, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    11. Yixuan Shi, 2022. "Dynamic Volunteer's Dilemma with Procrastinators," Working Papers tax-mpg-rps-2022-17, Max Planck Institute for Tax Law and Public Finance.
    12. Łukasz Balbus & Kevin Reffett & Łukasz Woźny, 2015. "Time consistent Markov policies in dynamic economies with quasi-hyperbolic consumers," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(1), pages 83-112, February.
    13. Marco A. Haan & Dominic Hauck, 2023. "Games with possibly naive present-biased players," Theory and Decision, Springer, vol. 95(2), pages 173-203, August.
    14. John Duffy & Félix Muñoz-García, 2012. "Patience or Fairness? Analyzing Social Preferences in Repeated Games," Games, MDPI, vol. 3(1), pages 1-22, March.
    15. Doraszelski, Ulrich & Escobar, Juan F., 2012. "Restricted feedback in long term relationships," Journal of Economic Theory, Elsevier, vol. 147(1), pages 142-161.
    16. Doruk Cetemen & Felix Zhiyu Feng & Can Urgun, 2019. "Contracting with Non-Exponential Discounting: Moral Hazard and Dynamic Inconsistency," Working Papers 2019-17, Princeton University. Economics Department..
    17. Murat Yilmaz, 2018. "An Extended Survey of Time-Inconsistency and Its Applications," Bogazici Journal, Review of Social, Economic and Administrative Studies, Bogazici University, Department of Economics, vol. 32(1), pages 55-73.
    18. Yılmaz, Murat, 2013. "Repeated moral hazard with a time-inconsistent agent," Journal of Economic Behavior & Organization, Elsevier, vol. 95(C), pages 70-89.
    19. Altınok, Ahmet & Yılmaz, Murat, 2018. "Dynamic voluntary contribution to a public project under time inconsistency," Journal of Economic Behavior & Organization, Elsevier, vol. 145(C), pages 114-140.
    20. Aramendia, Miguel & Wen, Quan, 2020. "Myopic perception in repeated games," Games and Economic Behavior, Elsevier, vol. 119(C), pages 1-14.
    21. Takeharu Sogo, 2019. "Competition among procrastinators," Theory and Decision, Springer, vol. 86(3), pages 325-337, May.
    22. Haan, Marco & Hauck, Dominic, 2014. "Games With Possibly Naive Hyperbolic Discounters," MPRA Paper 57960, University Library of Munich, Germany.
    23. Minwook Kang, 2015. "Welfare criteria for quasi-hyperbolic time preferences," Economics Bulletin, AccessEcon, vol. 35(4), pages 2506-2511.
    24. Lu, Shih En, 2016. "Self-control and bargaining," Journal of Economic Theory, Elsevier, vol. 165(C), pages 390-413.

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    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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