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 [Formula: see text]-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 [Formula: see text]-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 [Formula: see text]-equilibrium and compare it with previous altruistic equilibrium concepts. Finally, we provide sufficient conditions for the existence of [Formula: see text]-equilibria.