An Axiomatic Approach to the Concept of Interaction Among Players in Cooperative Games
AbstractAn axiomatization of the interactions between the palyers 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, the authors give an expression of the Banzhaf and Shapely interaction indices in terms of pseudo-Boolean functions.
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Bibliographic InfoPaper provided by UNIVERSITE DE LIEGE, Faculte d'economie, de gestion et de sciences sociales, Groupe d'Etude des Mathematiques du Management et de l'Economie in its series Liege - Groupe d'Etude des Mathematiques du Management et de l'Economie with number 9818.
Length: 23 pages
Date of creation: 1998
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Postal: UNIVERSITE DE LIEGE, Faculte d'economie, de gestion et de sciences sociales, Groupe d'Etude des Mathematiques du Management et de l'Economie. 4000 Liege, BELGIQUE
Web page: http://www.quantom.hec.ulg.ac.be/
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Other versions of this item:
- Marc Roubens & Michel Grabisch, 1999. "An axiomatic approach to the concept of interaction among players in cooperative games," International Journal of Game Theory, Springer, vol. 28(4), pages 547-565.
- C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
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