Multilinear Extensions of Games

Guillermo Owen
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Guillermo Owen: Rice University

Management Science, 1972, vol. 18, issue 5-Part-2, 64-79

Abstract: The multilinear extension of an n-person game v is a function defined on the n-cube I N which is linear in each variable and which coincides with v at the conrners of the cube, satisfying f(x) = v({i | x i = 1}). Multilinear extensions are useful as a help in computing the values of large games, and give a generalization of the Shapley value.

Date: 1972
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