Uncertainty of the Shapley Value

Details Uncertainty of the Shapley Value Uncertainty of the Shapley Value

2003-03-30

arxiv.org/abs/math/0303379v1

International Game Theory Review, 2005, 7, 517-529

Mathematics

General Mathematics

21 page

Scientific paper

This paper introduces a measure of uncertainty in the determination of the Shapley value, illustrates it with examples, and studies some of its properties. The introduced measure of uncertainty quantifies random variations in a player's marginal contribution during the bargaining process. The measure is symmetric with respect to exchangeable substitutions in the players, equal to zero for dummy player, and convex in the game argument. The measure is illustrated by several examples of abstract games and an example from epidemiology.

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