Probabilistic Interactions among Players of a Cooperative Game

  • Michel Grabisch
  • Marc Roubens
Part of the Theory and Decision Library book series (TDLB, volume 40)


Let v N be a cooperative game on the finite set of players N that is a set function v called capacity from the power set P(N) to IR such that v(Ø) = O. v(S), for any coalition SN can be considered as the worth or power of the coalition of players being in the party S The set of all games defined on N is denoted g(N).


Cooperative Game Equivalent Representation Marginal Contribution Maximal Chain Fuzzy Measure 
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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Michel Grabisch
    • 1
  • Marc Roubens
    • 2
  1. 1.Thomson-CSF Central Research LaboratoryOrsayFrance
  2. 2.University of LiègeBelgium

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