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Time Preferences and Bargaining

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  • Schweighofer-Kodritsch, Sebastian

    (Humboldt University Berlin and WZB Berlin)

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, e.g., 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

  • Schweighofer-Kodritsch, Sebastian, 2017. "Time Preferences and Bargaining," Rationality and Competition Discussion Paper Series 38, CRC TRR 190 Rationality and Competition.
    • Handle: RePEc:rco:dpaper:38
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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. Anat R. Admati & Motty Perry, 1991. "Joint Projects without Commitment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(2), pages 259-276.
    3. Rubinstein, Ariel, 1991. "Comments on the Interpretation of Game Theory," Econometrica, Econometric Society, vol. 59(4), pages 909-924, July.
    4. Van Damme, Eric & Selten, Reinhard & Winter, Eyal, 1990. "Alternating bid bargaining with a smallest money unit," Games and Economic Behavior, Elsevier, vol. 2(2), pages 188-201, June.
    5. Burgos, Albert & Grant, Simon & Kajii, Atsushi, 2002. "Bargaining and Boldness," Games and Economic Behavior, Elsevier, vol. 38(1), pages 28-51, January.
    6. Abreu, Dilip, 1988. "On the Theory of Infinitely Repeated Games with Discounting," Econometrica, Econometric Society, vol. 56(2), pages 383-396, March.
    7. Abreu, Dilip & Pearce, David G. & Stacchetti, Ennio, 2015. "One-sided uncertainty and delay in reputational bargaining," Theoretical Economics, Econometric Society, vol. 10(3), September.
    8. Arthur E. Attema & Han Bleichrodt & Kirsten I. M. Rohde & Peter P. Wakker, 2010. "Time-Tradeoff Sequences for Analyzing Discounting and Time Inconsistency," Management Science, INFORMS, vol. 56(11), pages 2015-2030, November.
    9. Read, Daniel, 2001. "Is Time-Discounting Hyperbolic or Subadditive?," Journal of Risk and Uncertainty, Springer, vol. 23(1), pages 5-32, July.
    10. Muhamet Yildiz, 2011. "Bargaining with Optimism," Annual Review of Economics, Annual Reviews, vol. 3(1), pages 451-478, September.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. 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.

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    More about this item

    Keywords

    time preferences; dynamic inconsistency; alternating offers; bargaining; optimal punishments; delay;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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