A value for games with a priori incompatible players

Abstract

ABSTRACTNumerous situations in decision-making deal with a set of agents who need to work together but they have some a priori bilateral problems among them. This paper introduces cooperative games with a priori incompatibilities using particular coalition systems. In these games, there are some red lines between some players, so that the negotiation has two stages. In the first stage, players can only negotiate with those with whom they are compatible. After that, the grand coalition will be formed. A value for these games is defined by using cooperative games with coalition configuration. A characterization of this value is obtained.