Partially Altruistic Players in (w,τ)-Strategic Form Noncooperative Games

In this paper, we introduce a model of noncooperative individuals with partially altruistic behavior, called (w,τ)-strategic form game. Each individual has a target to reach and supports the social well-being using the strategies allowed by his target. So, the behavior of individuals is between being fully selfish and being fully altruistic. An equilibrium of such a model, called (w,τ)-equilibrium, is a strategy profile where each individual cannot improve the social well-being using unilateral deviations allowed by his target. We give examples that illustrate the (w,τ)-equilibrium and compare it with previous altruistic equilibrium concepts. Finally, we provide sufficient conditions for the existence of (w,τ)-equilibria.