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Super-additivity and concavity are equivalent for Pareto optimal n-agent bargaining solutions

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  • Alós-Ferrer, Carlos
  • García-Segarra, Jaume
  • Ginés-Vilar, Miguel

Abstract

We show that, for Pareto optimal n-player bargaining solutions, the conditions of super-additivity and concavity are equivalent. Further, either condition implies homogeneity.

Suggested Citation

  • Alós-Ferrer, Carlos & García-Segarra, Jaume & Ginés-Vilar, Miguel, 2017. "Super-additivity and concavity are equivalent for Pareto optimal n-agent bargaining solutions," Economics Letters, Elsevier, vol. 157(C), pages 50-52.
    • Handle: RePEc:eee:ecolet:v:157:y:2017:i:c:p:50-52
    DOI: 10.1016/j.econlet.2017.05.020
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    References listed on IDEAS

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    1. R.J. Aumann & S. Hart (ed.), 2002. "Handbook of Game Theory with Economic Applications," Handbook of Game Theory with Economic Applications, Elsevier, edition 1, volume 3, number 3.
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    3. 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.
    4. Myerson, Roger B, 1981. "Utilitarianism, Egalitarianism, and the Timing Effect in Social Choice Problems," Econometrica, Econometric Society, vol. 49(4), pages 883-897, June.
    5. In, Younghwan & Serrano, Roberto, 2003. "Agenda restrictions in multi-issue bargaining (II): unrestricted agendas," Economics Letters, Elsevier, vol. 79(3), pages 325-331, June.
    6. Peters, Hans, 1985. "A note on additive utility and bargaining," Economics Letters, Elsevier, vol. 17(3), pages 219-222.
    7. Peters, Hans J M, 1986. "Simultaneity of Issues and Additivity in Bargaining," Econometrica, Econometric Society, vol. 54(1), pages 153-169, January.
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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

    Bargaining solutions; Super-additivity; Concavity; Homogeneity;
    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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