Name
Abstract | ||
|---|---|---|
In a cooperative transferable utility game each decision-making agent is usually represented by one player. We model a situation where a decision-making agent can be represented by more than one player by a game with coalition structure where, besides the game, there is a partition of the player set into several unions. But, whereas usually the decision-making agents are the players in such a game, in this paper the decision-making agents are modeled as the unions in the coalition structure. Consequently, where usually a solution assigns payoffs to the individual players, we introduce the concept of union value being solutions that assign payoffs to the unions in a game with coalition structure. We introduce two such union values, both generalizing the Shapley value for TU-games. The first is the union-Shapley value and considers the unions in the most unified way: when a union enters a coalition then it enters with all its players. The second is the player-Shapley value which takes all players as units, and the payoff of a union is the sum of the payoffs over all its players. We provide axiomatic characterizations of these two union values differing only in a collusion neutrality axiom. After that we apply them to airport games and voting games. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.dss.2014.04.010 | Decision Support Systems |
Keywords | Field | DocType |
Game theory,Group decisions and negotiations,Game with coalition structure,Shapley value,Union value,Collusion neutrality | Simultaneous game,Economics,Mathematical economics,Microeconomics,Repeated game,Symmetric game,Transferable utility,Screening game,Sequential game,Non-cooperative game,Stochastic game | Journal |
Volume | ISSN | Citations |
66 | 0167-9236 | 1 |
PageRank | References | Authors |
0.38 | 10 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| René Van Den Brink | 1 | 187 | 27.06 |
| Chris Dietz | 2 | 4 | 1.63 |