A Simple Expression for the Shapley Value in a Special Case

Stephen Littlechild and G. Owen
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G. Owen: Department of Mathematical Sciences, Rice University, Houston, Texas

Management Science, 1973, vol. 20, issue 3, 370-372

Abstract: We present a simple and easily calculated expression for the Shapley value whenever the characteristic function is a "cost" function with the property that the cost of any subset of players is equal to the cost of the "largest" player in that subset. It turns out that a simple rule previously proposed for calculating airport landing charges generates precisely the Shapley value for an appropriately defined game.

Date: 1973
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