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Time Inconsistency And Learning In Bargaining Games

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  • Zafer Akin

    (Pennsylvania State University)

Abstract

The literature on time-inconsistent preferences introduced naive, partially naive and sophisticated as types of agents that represent different levels of unawareness of agents' self-control problems. This paper incorporates time-inconsistent players in a sequential bargaining model. We first consider 'naive' agents who never learn about their types and show that bargaining between such a player and a standard exponential agent ends in immediate agreement. The more naive a player, the higher his share. If naive agents can learn their type over time, we show that there is a critical date such that there is no agreement before that date. Hence, existence of time-inconsistent players who can learn as they play the game can be another explanation for delays in bargaining.

Suggested Citation

  • Zafer Akin, 2005. "Time Inconsistency And Learning In Bargaining Games," Game Theory and Information 0507003, University Library of Munich, Germany.
  • Handle: RePEc:wpa:wuwpga:0507003
    Note: Type of Document - pdf; pages: 40
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    References listed on IDEAS

    as
    1. Rubinstein, Ariel, 1982. "Perfect Equilibrium in a Bargaining Model," Econometrica, Econometric Society, vol. 50(1), pages 97-109, January.
    2. Malmendier, Ulrike M. & Della Vigna, Stefano, 2002. "Overestimating Self-Control: Evidence from the Health Club Industry," Research Papers 1880, Stanford University, Graduate School of Business.
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    Citations

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    Cited by:

    1. Jinrui Pan & Craig Webb & Horst Zank, 2013. "Discounting the Subjective Present and Future," Economics Discussion Paper Series 1305, Economics, The University of Manchester.
    2. Fabian Herweg & Daniel Müller, 2011. "Performance of procrastinators: on the value of deadlines," Theory and Decision, Springer, vol. 70(3), pages 329-366, March.
    3. Gans, Joshua S. & Landry, Peter, 2022. "I’m not sure what to think about them: Confronting naive present bias in a dynamic threshold public goods game," Journal of Economic Behavior & Organization, Elsevier, vol. 197(C), pages 195-204.
    4. Kim, Jeongbin & Lim, Wooyoung & Schweighofer-Kodritsch, Sebastian, 2020. "Bargaining and Time Preferences: An Experimental Study," Rationality and Competition Discussion Paper Series 254, CRC TRR 190 Rationality and Competition.
    5. 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.
    6. 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.
    7. 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.
    8. Claudia Cerrone, 2021. "Doing It When Others Do: A Strategic Model Of Procrastination," Economic Inquiry, Western Economic Association International, vol. 59(1), pages 315-328, January.
    9. Akin, Zafer, 2012. "Intertemporal decision making with present biased preferences," Journal of Economic Psychology, Elsevier, vol. 33(1), pages 30-47.
    10. Borissov, Kirill & Pakhnin, Mikhail & Wendner, Ronald, 2024. "General equilibrium and dynamic inconsistency," Journal of Mathematical Economics, Elsevier, vol. 114(C).
    11. Fahn, Matthias & Seibel, Regina, 2022. "Present bias in the labor market – when it pays to be naive," Games and Economic Behavior, Elsevier, vol. 135(C), pages 144-167.
    12. Pan, Jinrui & Webb, Craig S. & Zank, Horst, 2015. "An extension of quasi-hyperbolic discounting to continuous time," Games and Economic Behavior, Elsevier, vol. 89(C), pages 43-55.
    13. Manuel A. Utset, 2023. "Time-Inconsistent Bargaining and Cross-Commitments," Games, MDPI, vol. 14(3), pages 1-21, April.
    14. 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.
    15. Marco A. Haan & Dominic Hauck, 2023. "Games with possibly naive present-biased players," Theory and Decision, Springer, vol. 95(2), pages 173-203, August.
    16. Kristal K. Trejo & Ruben Juarez & Julio B. Clempner & Alexander S. Poznyak, 2023. "Non-Cooperative Bargaining with Unsophisticated Agents," Computational Economics, Springer;Society for Computational Economics, vol. 61(3), pages 937-974, March.
    17. Joshua S. Gans & Peter Landry, 2016. "Procrastination in Teams," NBER Working Papers 21891, National Bureau of Economic Research, Inc.
    18. Haan, Marco & Hauck, Dominic, 2014. "Games With Possibly Naive Hyperbolic Discounters," MPRA Paper 57960, University Library of Munich, Germany.
    19. Lu, Shih En, 2016. "Self-control and bargaining," Journal of Economic Theory, Elsevier, vol. 165(C), pages 390-413.

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    More about this item

    Keywords

    Hyperbolic discounting; learning; bargaining; delay;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty

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