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A nucleolus for stochastic cooperative games

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Author Info
Suijs, J. (Tilburg University, Center for Economic Research)
Abstract

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, it is shown for a particular class of stochastic cooperative games that the nucleolus can be determined by calculating the traditional nucleolus introduced by Schmeidler (1969) of a specific deterministic cooperative game.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 90.

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Date of creation: 1996
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Handle: RePEc:dgr:kubcen:199690

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Maschler, M & Potters, J A M & Tijs, S H, 1992. "The General Nucleolus and the Reduced Game Property," International Journal of Game Theory, Springer, vol. 21(1), pages 85-106.
  2. Sujis, J. & Borm, P. & De Waegenaere, A. & Tijs, S., 1995. "Cooperative Games with Stochastic Payoffs," Papers 9588, Tilburg - Center for Economic Research.
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  1. Timmer, J. & Borm, P. & Tijs, S., 2000. "On three Shapley-like solutions for cooperative games with random payoffs," Discussion Paper 73, Tilburg University, Center for Economic Research. [Downloadable!]
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