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A Simple Expression for the Shapley Value in a Special Case

Author

Listed:
  • S. C. Littlechild

    (Management Centre, University of Aston in Birmingham)

  • G. Owen

    (Department of Mathematical Sciences, Rice University, Houston, Texas)

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.

Suggested Citation

  • S. C. Littlechild & G. Owen, 1973. "A Simple Expression for the Shapley Value in a Special Case," Management Science, INFORMS, vol. 20(3), pages 370-372, November.
  • Handle: RePEc:inm:ormnsc:v:20:y:1973:i:3:p:370-372
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    File URL: http://dx.doi.org/10.1287/mnsc.20.3.370
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