A Simple Expression for the Shapley Value in a Special Case

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.

• 저널Management Science · 20(3) · 370–372
• 토픽Game Theory and Voting Systems · Economics and Econometrics
• DOI10.1287/mnsc.20.3.370
• 저자Stephen Littlechild, Guillermo Owen