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Extension of the Perles-Maschler Solution to N-Person Bargaining Games

Author

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  • Calvo, Emilio
  • Gutierrez, Esther

Abstract

The superadditive solution for 2-person Nash bargaining games was axiomatically defined in Perles/Maschler (1981). In Perles (1982) it was shown that the axioms are incompatible even for 3-person bargaining games. In this paper we offer a generalization method of this solution concept for n-person games. In this method, the Kalai-Smorodinsky solution (1975) is revealed as the rule followed to determine the movements along the path of intermediate agreements.

Suggested Citation

  • Calvo, Emilio & Gutierrez, Esther, 1994. "Extension of the Perles-Maschler Solution to N-Person Bargaining Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(4), pages 325-346.
    • Handle: RePEc:spr:jogath:v:23:y:1994:i:4:p:325-46
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    Cited by:

    1. Rosenmüller, Joachim, 2019. "Cephoids. Minkowski Sums of DeGua Simplices. Theory and Applications," Center for Mathematical Economics Working Papers 629, Center for Mathematical Economics, Bielefeld University.
    2. Feimin Zhong & Jinxing Xie & Xiaobo Zhao, 2014. "The price of fairness with the extended Perles–Maschler solution," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 80(2), pages 193-212, October.
    3. Ervig, U. & Haake, C.-J., 2005. "Trading bargaining weights," Journal of Mathematical Economics, Elsevier, vol. 41(8), pages 983-993, December.
    4. Rosenmüller, Joachim, 2011. "A value for cephoidal NTU-games," Center for Mathematical Economics Working Papers 388, Center for Mathematical Economics, Bielefeld University.
    5. repec:ebl:ecbull:v:3:y:2004:i:35:p:1-8 is not listed on IDEAS
    6. Ervig, Ulrike & Haake, Claus-Jochen, 2017. "Trading bargaining weights," Center for Mathematical Economics Working Papers 350, Center for Mathematical Economics, Bielefeld University.
    7. Calvo, Emilio & Peters, Hans, 2005. "Bargaining with ordinal and cardinal players," Games and Economic Behavior, Elsevier, vol. 52(1), pages 20-33, July.

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