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Time Preferences and Bargaining

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  • Sebastian Schweighofer†Kodritsch

Abstract

This paper presents an analysis of general time preferences in the canonical Rubinstein (1982) model of bargaining, allowing for arbitrarily history†dependent strategies. I derive a simple sufficient structure for optimal punishments and thereby fully characterize (i) the set of equilibrium outcomes for any given preference profile, and (ii) the set of preference profiles for which equilibrium is unique. Based on this characterization, I establish that a weak notion of present bias—implied, for example, by any hyperbolic or quasi†hyperbolic discounting—is sufficient for equilibrium to be unique, stationary, and efficient. Conversely, I demonstrate how certain violations of present bias give rise to multiple (non†stationary) equilibria that feature delayed agreement under gradually increasing offers.

Suggested Citation

  • Sebastian Schweighofer†Kodritsch, 2018. "Time Preferences and Bargaining," Econometrica, Econometric Society, vol. 86(1), pages 173-217, January.
    • Handle: RePEc:wly:emetrp:v:86:y:2018:i:1:p:173-217
    DOI: 10.3982/ECTA14396
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    Cited by:

    1. Schweighofer-Kodritsch, Sebastian, 2022. "The bargaining trap," Games and Economic Behavior, Elsevier, vol. 136(C), pages 249-254.
    2. Vincent Martinet & Pedro Gajardo & Michel De Lara & Héctor Ramírez Cabrera, 2011. "Bargaining with intertemporal maximin payoffs," EconomiX Working Papers 2011-7, University of Paris Nanterre, EconomiX.
    3. 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.
    4. Vohra, Akhil, 2023. "Losing money to make money: The benefits of redistribution in collective bargaining in sports," Games and Economic Behavior, Elsevier, vol. 142(C), pages 226-242.
    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. Else Gry Bro Christensen & Takeshi Murooka, 2020. "Procrastination and Learning about Self-Control," OSIPP Discussion Paper 20E001, Osaka School of International Public Policy, Osaka University.
    7. Luis C. Dias & Rudolf Vetschera, 2022. "Two-party Bargaining Processes Based on Subjective Expectations: A Model and a Simulation Study," Group Decision and Negotiation, Springer, vol. 31(4), pages 843-869, August.
    8. Alós-Ferrer, Carlos & Ritzberger, Klaus, 2021. "Multi-lateral strategic bargaining without stationarity," Journal of Mathematical Economics, Elsevier, vol. 97(C).
    9. 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.
    10. Borissov, Kirill & Pakhnin, Mikhail & Wendner, Ronald, 2024. "General equilibrium and dynamic inconsistency," Journal of Mathematical Economics, Elsevier, vol. 114(C).
    11. Heggedal, Tom-Reiel & Helland, Leif & Våge Knutsen, Magnus, 2022. "The power of outside options in the presence of obstinate types," Games and Economic Behavior, Elsevier, vol. 136(C), pages 454-468.
    12. Manuel A. Utset, 2023. "Time-Inconsistent Bargaining and Cross-Commitments," Games, MDPI, vol. 14(3), pages 1-21, April.
    13. Jeongbin Kim & Wooyoung Lim & Sebastian Schweighofer-Kodritsch, 2023. "Patience Is Power: Bargaining and Payoff Delay," Berlin School of Economics Discussion Papers 0015, Berlin School of Economics.
    14. Marco A. Haan & Dominic Hauck, 2023. "Games with possibly naive present-biased players," Theory and Decision, Springer, vol. 95(2), pages 173-203, August.

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