Values for Environments with Externalities - The Average Approach
32 Pages Posted: 23 Aug 2016
Date Written: July 21, 2016
We propose the “average approach,” where the worth of a coalition is a weighted average of its worth for different partitions of the players’ set, as a unifying method to extend values for characteristic function form games. Our method allows us to extend the equal division value, the equal surplus value, the consensus value, the λ-egalitarian Shapley value, and the least-square family. For each of the first three extensions, we also provide an axiomatic characterization of a particular value for partition function form games. And for each of the last two extensions, we find a family of values that satisfy the properties.
Keywords: externalities, sharing the surplus, average approach
JEL Classification: D620, C710
Suggested Citation: Suggested Citation