Guillermo Owen, Eyal Winter
Abstract
The multilinear extension has been shown to be an effective tool for computing the Shapley value of an n-person game. We modify here the method of the multilinear extension to calculate the modified (coalition) value for such games.
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The multilinear extension has been shown to be an effective tool for computing the Shapley value of an n-person game. We modify here the method of the multilinear extension to calculate the modified (coalition) value for such games.
Key concepts: Multilinear map, Extension (predicate logic), Shapley value, Value (mathematics), Mathematical economics, Mathematics, Computer science, Pure mathematics