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Bargaining with History Dependent Preferences

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  • Duozhe Li

Abstract

We study perfect information bilateral bargaining game with an infinite alternating-offers procedure, in which we add an assumption of history dependent preference. A player will devalue a share which gives her strictly lower discounted utility than what she was offered in earlier stages of the bargaining, namely, a ``worse off'' outcome. In a strong version of the assumption, each player prefers impasse to any ``worse off'' outcome. We characterize the essentially unique subgame perfect equilibrium path under the assumption. The equilibrium entails considerable delay and efficiency loss. As the players become infinitely patient, the efficiency loss goes to one half, and the equilibrium share goes to Nash solution. The assumption can also be weakened. We provide a sufficient condition on the extent of devaluation under which the feature of the equilibrium from strong assumption remains

Suggested Citation

  • Duozhe Li, 2004. "Bargaining with History Dependent Preferences," Econometric Society 2004 North American Summer Meetings 516, Econometric Society.
  • Handle: RePEc:ecm:nasm04:516
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    References listed on IDEAS

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    Cited by:

    1. Henner Gimpel, 2007. "Loss Aversion and Reference-Dependent Preferences in Multi-Attribute Negotiations," Group Decision and Negotiation, Springer, vol. 16(4), pages 303-319, July.
    2. repec:lic:licosd:22008 is not listed on IDEAS

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    More about this item

    Keywords

    Bargaining; Delay; History Dependent Preference; Endogenous Commitment;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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