Other-regarding behaviour in fuzzy non-cooperative games: Existence of altruistic equilibria

We study fuzzy non-cooperative games where the players care about the others. Two types of other-regarding behaviour of players are investigated. First, we assume that the players are full altruistic. So, we introduce the full altruistic fuzzy equilibriumand give necessary and sufficient conditions for the existence of such an equilibrium. Then, we consider players that subordinate the other-regarding behaviour to own interest to be preserved. In this case, each player has a fuzzy target and supports the opponents choosing strategies which give improvements with respect to the target. We introduce the partial altruistic fuzzy equilibriumand obtain the existence of such an equilibrium under weak continuity and convexity assumptions.