Fuzzy n-person cooperative games

Abstract

We will examine n-person cooperative games under fuzzy environments in this chapter. In noncooperative games, there is not much difference between twoperson games and n-person games. However, in cooperative games, coalitions are organized by group agreement among some or all of the players and many coalitions are possible in the n-person case, while there is only one possible coalition in the two-person case. Thus, the n-person case is mainly treated for analysis of cooperative games. For conventional n-person cooperative games, a coalition is defined as any nonempty subset of the set of all players, making the number of possible coalitions at most 2n — 1, which includes one-person coalitions. Any player participating in a coalition must accept completely the decisions of the coalition; that is, a coalition behaves like an individual decision maker.