A Nucleolus for Stochastic Cooperative Games

Research, Preprint OPEN
Suijs, J.P.M. (1996)
  • Publisher: CentER Accounting Research Group
  • Subject: Nucleolus;cooperative game theory;random variables;preferences | Nucleolus; cooperative game theory; random variables; preferences
    arxiv: Computer Science::Computer Science and Game Theory

This paper extends the definition of the nucleolus to stochastic cooperative games, that is, to cooperative games with random payoffs to the coalitions. It is shown that the nucleolus is nonempty and that it belongs to the core whenever the core is nonempty. Furthermore... View more
  • References (7)

    WS (y) = fy0 2 I RS( Γ)j8i2S : yi0 yig; BS (y) = fy0 2 I RS( Γ)j8i2S : yi0 yig; P OS (y) = (WS (y) [ BS(y)) \ P OS ( Γ): CHARNES, A. and D. GRANOT: "Prior Solutions: Extensions of Convex Nucleolus Solutions to Chance-Constrained Games," Proceedings of the Computer Science and Statisitics Seventh Symposium at Iowa State University (1973), 323-332.

    CHARNES, A. and D. GRANOT: "Coalitional and Chance-Constrained Solutions to n-Person Games. I: The Prior Satisficing Nucleolus," SIAM Journal of Applied Mathematics, 31 (1976), 358-367.

    FELLER, W.: An Introduction to Probability Theory and its Applications, Vol. I. New York: Wiley, 1950.

    FELLER, W.: An Introduction to Probability Theory and its Applications, Vol. II. New York: Wiley, 1966.

    POTTERS, J. and S. TIJS: "The Nucleolus of Matrix Games and Other Nucleoli," Mathematics of Operations Research, 17 (1992), 164-174.

    MASCHLER, M., J. POTTERS and S. TIJS: "The General Nucleolus and the Reduced Game Property'" International Journal of Game Theory, 21 (1992), 85-106.

    SCHMEIDLER, D.: "The Nucleolus of a Characteristic Function Game," SIAM Journal of Applied Mathematics, 17 (1969), 1163-1170.

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