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n-Person Nonconvex Bargaining: Efficient Proportional Solution

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  • 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) is generalized to bargaining problems with non-convex payoff sets. The so-called "efficient proportional solutions" are characterized axiomatically using natural extensions of the original axioms provided by Kalai.

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Bibliographic Info

Paper provided by University of Copenhagen. Department of Economics in its series Discussion Papers with number 10-21.

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Length: 9 pages
Date of creation: Sep 2010
Date of revision:
Handle: RePEc:kud:kuiedp:1021

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Keywords: n-person non-convex bargaining; proportional solutions; egalitarian solution;

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  1. Serrano, Roberto & Shimomura, Ken-Ichi, 1998. "Beyond Nash Bargaining Theory: The Nash Set," Journal of Economic Theory, Elsevier, Elsevier, vol. 83(2), pages 286-307, December.
  2. Chun, Youngsub & Thomson, William, 1992. "Bargaining problems with claims," Mathematical Social Sciences, Elsevier, Elsevier, vol. 24(1), pages 19-33, August.
  3. Jens Leth Hougaard & Mich Tvede, 2003. "Nonconvex n-person bargaining: efficient maxmin solutions," Economic Theory, Springer, Springer, vol. 21(1), pages 81-95, 01.
  4. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, Econometric Society, vol. 18(2), pages 155-162, April.
  5. Hougaard, Jens Leth & Tvede, Mich, 2002. "Benchmark selection: An axiomatic approach," European Journal of Operational Research, Elsevier, Elsevier, vol. 137(1), pages 218-228, February.
  6. Ehud Kalai, 1977. "Proportional Solutions to Bargaining Situations: Interpersonal Utility Comparisons," Discussion Papers, Northwestern University, Center for Mathematical Studies in Economics and Management Science 179, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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Cited by:
  1. Ismail Saglam, 2012. "Endogenously Proportional Bargaining Solutions," Koç University-TUSIAD Economic Research Forum Working Papers, Koc University-TUSIAD Economic Research Forum 1232, Koc University-TUSIAD Economic Research Forum.

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