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Multilinear extensions and quotients of simple games

✍ Scribed by R. Amer; F. Carreras; A. Magaña; G. Owen

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
659 KB
Volume
43
Category
Article
ISSN
0894-069X

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✦ Synopsis

Studied here is the problem of evaluating the formation of coalitions in cooperative games by considering its internal and external effects. Our analysis is based upon a formal theory of the quotient game and the use of multilinear extensions to compute the Shapley value and the coalitional value. When it applies to simple games, a series of interesting results is obtained.

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