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Equivalent Representations of a Set Function with Applications to Game Theory and Multicriteria Decision Making

Michel Grabisch, J.-L. Marichal and M. Roubens

Liege - Groupe d'Etude des Mathematiques du Management et de l'Economie from UNIVERSITE DE LIEGE, Faculte d'economie, de gestion et de sciences sociales, Groupe d'Etude des Mathematiques du Management et de l'Economie

Abstract: This paper introduces four alternative representations of a set function: the Mobius transformation, the co-Mobius transformation, and the interactions between elements of any subset of a given set as extensions of Shapley and Banzhaf values. The links between the five equivalent representations of a set function are emphasized in this presentation.

Keywords: GAME THEORY; DECISION MAKING (search for similar items in EconPapers)
JEL-codes: C60 C70 (search for similar items in EconPapers)
Pages: 20 pages
Date: 1998
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:fth:gemame:9801

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