Multilinear extensions and quotients of simple games

Multilinear extensions and quotients of simple games

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Article ID: iaor19961316
Country: United States
Volume: 43
Issue: 1
Start Page Number: 103
End Page Number: 118
Publication Date: Feb 1996
Journal: Naval Research Logistics
Authors: , , ,
Abstract:

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

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