The Myerson Value on Local Structures of Coalitions

Abstract

The Myerson value introduced by Mayerson (Math Oper Res 2:225–229, 1977) is a solution for cooperative games under the partial cooperation structures described by graphs, in which feasible coalitions are connected but their structures are ignored. To extend the Myerson value, we define a mapping to describe local structures of coalitions and obtain a new solution for cooperative games, called Myerson value with local structures. We propose an axiomatic characterization of the Myerson value associated with local cooperative structures.