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Bargaining sets of cooperative games without side payments

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Abstract

In this paper an analogue of the bargaining setM i1 is defined for cooperative games without side payments. An existence theorem is proved for games of pairs, while it is shown by an example that no general existence theorem holds.

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References

  1. Aumann, R. J. and Peleg, B., 1960, Von Neumann-Morgenstern solutions to cooperative games without side payments.Bull. Amer. Math. Soc.,66, 173–179.

    MATH  MathSciNet  Google Scholar 

  2. Aumann, R. J. and Maschler, M., The bargaining set for cooperative games. To appear inAdvances in Game Theory, M. Dresher, L. S. Shapley and A. W. Tucker, eds.Annals of Mathematics Studies, No. 52, Princeton University Press, Princeton, N. J.

  3. Davis, M. and Maschler, M., 1963, Existence of stable payoff configurations for cooperative games,Bull. Amer. Math. Soc.,69, 106–108.

    MATH  MathSciNet  Google Scholar 

  4. Eilenberg, S. and Montgomery, D., 1946, Fixed point theorems for multi-valued transformations,Amer. J. Math., 214–222.

  5. Peleg, B., 1963, Existence theorem for the bargaining setM i1 ,Bull. Amer. Math. Soc.,69, 109–110.

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Peleg, B. Bargaining sets of cooperative games without side payments. Israel J. Math. 1, 197–200 (1963). https://doi.org/10.1007/BF02759717

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  • DOI: https://doi.org/10.1007/BF02759717

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