An improved mathematical model of social group competition

Social processes modeling is practically important and indispensable for future prediction task. In present paper the problem of social group competition is considered. Currently, there are a lot of works in this direction [1]. In particular, the specific question – changes in the number of religious adherents – attracts attention of the researchers [1-3]. Present work focuses on study of the social group competition based on the model from paper [2], but the improved law for specific perceived utility is used. The dependence of specific perceived utility (i.e. the utility obtained from each other member of a group) on group size is taken into account.