Characterization of the Myerson value for cooperative games on union stable structures
This paper is dedicated to an axiomatic study of the Myerson value for cooperative
games in which the set of feasible coalitions is a union-stable system. This type of partial
cooperation structure generalizes well-known communication graph games and contains the
widely studied union-closed and voting structures. In this framework, we provide a simple
and intuitive characterization of the Myerson value using five appealing and independent
axioms. We show that the Myerson value is the only allocation rule on the set of union-stable
structures that satisfies component-efficiency, additivity, modularity, the extra-null player
property, and equal treatment of veto players. We also show that this characterization is
valid for the restricted class of union-closed structures.
Key words: TU-game, Union-stable structure, Harsanyi dividends, Harsanyi power
solution, Myerson value.