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

Marc Roubens () and Michel Grabisch
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Marc Roubens: University of LiÉge, Institute of Mathematics, Grande Traverse 12, Sart-Tilman - B37, B-4000 LiÉge, Belgium

International Journal of Game Theory, 1999, vol. 28, issue 4, 547-565

Abstract: 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.

Keywords: Cooperative; games; ·; interaction; among; players; ·; Shapley; values; ·; Banzhaf; values; ·; coalition (search for similar items in EconPapers)
Date: 1999-12-15
Note: Received: October 1997/revised version: October 1998
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Working Paper: An Axiomatic Approach to the Concept of Interaction Among Players in Cooperative Games (1998)
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