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Time inconsistency and learning in bargaining games

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  • Zafer Akin

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.
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Suggested Citation

  • Zafer Akin, 2007. "Time inconsistency and learning in bargaining games," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(2), pages 275-299, October.
    • Handle: RePEc:spr:jogath:v:36:y:2007:i:2:p:275-299
    DOI: 10.1007/s00182-007-0076-3
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    References listed on IDEAS

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    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. 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.
    3. Fabian Herweg & Daniel Müller, 2011. "Performance of procrastinators: on the value of deadlines," Theory and Decision, Springer, vol. 70(3), pages 329-366, March.
    4. 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.
    5. Akin, Zafer, 2012. "Intertemporal decision making with present biased preferences," Journal of Economic Psychology, Elsevier, vol. 33(1), pages 30-47.
    6. 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.
    7. 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.
    8. 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.
    9. Manuel A. Utset, 2023. "Time-Inconsistent Bargaining and Cross-Commitments," Games, MDPI, vol. 14(3), pages 1-21, April.
    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. 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.
    12. 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.
    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. 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.
    15. 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.
    16. Joshua S. Gans & Peter Landry, 2016. "Procrastination in Teams," NBER Working Papers 21891, National Bureau of Economic Research, Inc.
    17. Haan, Marco & Hauck, Dominic, 2014. "Games With Possibly Naive Hyperbolic Discounters," MPRA Paper 57960, University Library of Munich, Germany.
    18. Lu, Shih En, 2016. "Self-control and bargaining," Journal of Economic Theory, Elsevier, vol. 165(C), pages 390-413.
    19. Kirill Borissov & Mikhail Pakhnin & Ronald Wendner, 2022. "General Equilibrium and Dynamic Inconsistency," CESifo Working Paper Series 9846, CESifo.

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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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