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An axiomatic approach to the concept of interaction among players in cooperative games

Listed author(s):
  • Marc Roubens

    ()

    (University of LiÉge, Institute of Mathematics, Grande Traverse 12, Sart-Tilman - B37, B-4000 LiÉge, Belgium)

  • Michel Grabisch

    ()

    (Thomson-CSF, Central Research Laboratory, Domaine de Corbeville, F-91404 Orsay, France)

An axiomatization of the interaction between the players of any coalition is given. It is based on three axioms: linearity, dummy and symmetry. These interaction indices extend the Banzhaf and Shapley values when using in addition two equivalent recursive axioms. Lastly, we give an expression of the Banzhaf and Shapley interaction indices in terms of pseudo-Boolean functions.

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Article provided by Springer & Game Theory Society in its journal International Journal of Game Theory.

Volume (Year): 28 (1999)
Issue (Month): 4 ()
Pages: 547-565

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Handle: RePEc:spr:jogath:v:28:y:1999:i:4:p:547-565
Note: Received: October 1997/revised version: October 1998
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