Probabilistic Interactions among Players of a Cooperative Game

Let v N be a cooperative game on the finite set of players N that is a set function v called capacity from the power set P(N) to IR such that v(O) = O. v(S), for any coalition S ⊂ N can be considered as the worth or power of the coalition of players being in the party S The set of all games defined on N is denoted g(N).