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Cooperative bargaining: Independence and monotonicity imply disagreement

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  • Rachmilevitch, Shiran

Abstract

A unique bargaining solution satisfies restricted monotonicity, independence of irrelevant alternatives, independence of equivalent utility representations, and symmetry—the disagreement solution. It is also the unique bargaining solution that satisfies independence of irrelevant alternatives, continuity, and strong disagreement monotonicity.

Suggested Citation

  • Rachmilevitch, Shiran, 2013. "Cooperative bargaining: Independence and monotonicity imply disagreement," Economics Letters, Elsevier, vol. 118(1), pages 240-242.
    • Handle: RePEc:eee:ecolet:v:118:y:2013:i:1:p:240-242
    DOI: 10.1016/j.econlet.2012.10.024
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    References listed on IDEAS

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    1. Kalai, Ehud & Smorodinsky, Meir, 1975. "Other Solutions to Nash's Bargaining Problem," Econometrica, Econometric Society, vol. 43(3), pages 513-518, May.
    2. Kalai, Ehud, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Econometrica, Econometric Society, vol. 45(7), pages 1623-1630, October.
    3. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    4. Thomson, William, 1994. "Cooperative models of bargaining," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 2, chapter 35, pages 1237-1284, Elsevier.
    5. Thomson, William, 1987. "Monotonicity of bargaining solutions with respect to the disagreement point," Journal of Economic Theory, Elsevier, vol. 42(1), pages 50-58, June.
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    Cited by:

    1. 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.

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    More about this item

    Keywords

    Axioms; Bargaining; Disagreement solution;
    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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