A Simple Expression for the Shapley Value in a Special Case
- 1 November 1973
- journal article
- Published by Institute for Operations Research and the Management Sciences (INFORMS) in Management Science
- Vol. 20 (3) , 370-372
- https://doi.org/10.1287/mnsc.20.3.370
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.Keywords
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