A generalized model of relative deprivation in heterogeneous group

A model of relative deprivation which is formalized by Boudon (1982) and Kosaka (1986) mainly analyzes homogeneous society. Based on the previous research Yamaguchi (1998) and Reyniers (1998) develop a model respectively in order to analyze deprivation in heterogeneous society. In this paper we integrate and generalize their models to explain some empirical findings which appear in the American Soldier. As a result of analysis of our model we derive the following implications. First, the proportion of relatively deprived in an advantaged group, in terms of the cost for investment game, always exceeds that of a disadvantaged group. This proposition is supported by empirical data. Second, there exist domains that the proportion of relatively deprived becomes increasing and decreasing function of proportion of promotion.