Multilinear extensions and the banzhaf value

Guillermo Owen

Naval Research Logistics Quarterly, 1975, vol. 22, issue 4, 741-750

Abstract: It is shown that the Banzhaf value can be obtained by differentiating the multilinear extension of a game at the midpoint of the unit cube. This gives us a composition theorem for the value of compound games. As an example, the values of the electoral college and presidential election “games” are approximated by the method of extensions.

Date: 1975
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