An Evolutionary Game Analysis of the Boudon-Kosaka Model of Relative Deprivation

In this paper, I attempt to reformulate the Boudon-Kosaka model of relative depri- vation within the framework of the replicator dynamics theory, in order to analyze a dynamic process of the model and clarify the micro-macro linkage relevant to the emergence of relative deprivation. The analysis reveals that under certain conditions, nearly all people would be instigated to stake high-risk investments, paradoxically, de- spite the rise in the relative deprivation rate in society. Furthermore, I attempt to generalize the Boudon-Kosaka model into the n-strategy investment game in order to describe more realistic situations. I analyze the replicator dynamics of the three-strategy game as an exemplar, and discuss the difference in the definitions of relative deprivation.