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n-Person Nonconvex Bargaining: Efficient Proportional Solutions

Author

Listed:
  • Jens Leth Hougaard

    (Department of Food and Resource Economics, University of Copenhagen)

  • Mich Tvede

    (Department of Economics, University of Copenhagen)

Abstract
For n-person bargaining problems the family of proportional solutions (introduced and characterized by Kalai in 1977) is generalized to bargaining problems with non-convex payo sets. The so-called "ecient proportional solutions" are characterized axiomatically using natural extensions of the original axioms provided by Kalai (1977).

Suggested Citation

  • Jens Leth Hougaard & Mich Tvede, 2010. "n-Person Nonconvex Bargaining: Efficient Proportional Solutions," MSAP Working Paper Series 02_2010, University of Copenhagen, Department of Food and Resource Economics.
    • Handle: RePEc:foi:msapwp:02_2010
    as

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    File URL: http://okonomi.foi.dk/workingpapers/MSAPpdf/MSAP2010/MSAP_WP02_2010.pdf
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    References listed on IDEAS

    as
    1. Kalai, Ehud, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Econometrica, Econometric Society, vol. 45(7), pages 1623-1630, October.
    2. Chun, Youngsub & Thomson, William, 1992. "Bargaining problems with claims," Mathematical Social Sciences, Elsevier, vol. 24(1), pages 19-33, August.
    3. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    4. Jens Leth Hougaard & Mich Tvede, 2003. "Nonconvex n-person bargaining: efficient maxmin solutions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(1), pages 81-95, January.
    5. Hougaard, Jens Leth & Tvede, Mich, 2002. "Benchmark selection: An axiomatic approach," European Journal of Operational Research, Elsevier, vol. 137(1), pages 218-228, February.
    6. Serrano, Roberto & Shimomura, Ken-Ichi, 1998. "Beyond Nash Bargaining Theory: The Nash Set," Journal of Economic Theory, Elsevier, vol. 83(2), pages 286-307, December.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Ismail Saglam, 2013. "Endogenously proportional bargaining solutions," Economics Bulletin, AccessEcon, vol. 33(2), pages 1521-1534.
    2. Lozano, S. & Hinojosa, M.A. & Mármol, A.M., 2019. "Extending the bargaining approach to DEA target setting," Omega, Elsevier, vol. 85(C), pages 94-102.

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    More about this item

    Keywords

    n-person non-convex bargaining; proportional solutions; the egalitarian solution;
    All these keywords.

    JEL classification:

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

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