Individual Stability of Coalition Structures in Three-Person Games

Cooperative games with coalition structures are considered, and a principle of coalition structure individual stability with respect to some cooperative solution concepts is defined. In comparison with the paper [15], we consider the opportunity for the players to block the deviation of a player in case their payoffs decrease with the deviation. We prove the existence of an individually stable coalition structure with respect to the Shapley and equal surplus division values for the case of three-person games according to the new definition of the stable coalition structure.