A Mathematical Sociological Analysis toward Clarifying Mechanisms of Social Inequality and Redistribution

点击翻译按钮获取中文摘要

The main results of this research are the following three points. (1) In order to explicating mechanisms of social gap, the two types of three-person game theory model were built; one is concretely a model of division of work and money generation, the other is generally three-person chicken games. The features of the equilibria in these games were clarified. (2) The integrated evaluation principle of social efficiency and egalitarianism was proposed. Specifically, the principle that considers the lower payoff individuals deeply isderived from a natural assumption of the social value orientation toward equality in two-person relation. (3) A model in which the gap and the community were formed simultaneously from heterogeneous actors was built. Specifically, a twelve-person network game model was built, and it was clarified what kind of gap arises as the equilibrium network in the games.