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Revising claims and resisting ultimatums in bargaining problems

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  • Spinnewijn, Johannes
  • Spinnewyn, Frans

Abstract

We propose a simple mechanism which implements a unique solution to the bargaining problem with two players in subgame-perfect equilibrium. The mechanism incorporates two important features of negotiations; players can revise claims in an attempt to reach a compromise or pursue their claims in an ultimate take-it-or-leave-it offer. Players restrain their claims to avoid a weak bargaining position or their resistance to uncompromising behavior to acquire leadership. The Nash solution and the Kalai–Smorodinsky solution are implemented in the extreme cases when respectively no and all revisions are allowed.

Suggested Citation

  • Spinnewijn, Johannes & Spinnewyn, Frans, 2015. "Revising claims and resisting ultimatums in bargaining problems," LSE Research Online Documents on Economics 66197, London School of Economics and Political Science, LSE Library.
    • Handle: RePEc:ehl:lserod:66197
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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.
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    9. Anbarci, Nejat & Boyd III, John H., 2011. "Nash demand game and the Kalai-Smorodinsky solution," Games and Economic Behavior, Elsevier, vol. 71(1), pages 14-22, January.
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    12. William Thomson (ed.), 2010. "Bargaining and the Theory of Cooperative Games: John Nash and Beyond," Books, Edward Elgar Publishing, number 13317.
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    14. Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
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    Cited by:

    1. Rudolf Vetschera & Luis C. Dias, 2024. "Confidence and Outcome Expectations in Bilateral Negotiations–A Dynamic Model," Group Decision and Negotiation, Springer, vol. 33(4), pages 775-803, August.
    2. William Thomson, 2022. "On the axiomatic theory of bargaining: a survey of recent results," Review of Economic Design, Springer;Society for Economic Design, vol. 26(4), pages 491-542, December.
    3. Roberto Serrano, 2021. "Sixty-seven years of the Nash program: time for retirement?," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 12(1), pages 35-48, March.

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    More about this item

    Keywords

    bargaining solutions; Nash program; ultimatums;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions

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