  We revisit in this paper the relation between evolution of species and the
mathematical tool of evolutionary games, which has been used to model and
predict it. We indicate known shortcoming of this model that restricts the
capacity of evolutionary games to model groups of individuals that share a
common gene or a common fitness function. In this paper we provide a new
concept to remedy this shortcoming in the standard evolutionary games in order
to cover this kind of behavior. Further, we explore the relationship between
this new concept and Nash equilibrium or ESS. We indicate through the study of
some example in the biology as Hawk and Dove game, Stag Hunt Game and Prisoner
Dilemma, that when taking into account a utility that is common to a group of
individuals, the equilibrium structure may change dramatically. We also study
the multiple access control in slotted Aloha based wireless networks. We
analyze the impact of the altruism behavior on the performance at the
equilibrium.
