Fair Allocation Methods for Coalition Games

A coalition game is a mathematical model of situations in which players can make enforceable agreements to cooperate. For each set of players, there is a numerical gain that can be distributed should the players agree to cooperate. This paper describes some interesting classes of coalition games, methods for allocating the gains among the players, and properties that formalize intuitive notions of fairness. We determine on which class of games each method satisfies each property. Some methods are characterized via properties.