Abstract:
Ramsey's hypothesis of social stratification states that in the household population, wealth is concentrated among the most thrifty agents who discount consumer spending with the lowest discount rate. Ramsey's hypothesis can be viewed as a statement about the validity of the Fisher principle of natural selection in a household population. In a report based on the hypothesis of J. Dusenberry discount rates are formed depending on the distribution of capital between agents. The behavior of households is described by rational representative consumer models of the Ramsey type. For the corresponding optimal control problems, synthesis solutions have been constructed, which are used in modeling the dynamics of the household population. The theorems for the household population are proved, substantiating the validity of the Ramsey hypothesis. The influence of consumer credit on the social stratification of households is investigated. The relationship between the Gini inequality index and the Lyapunov function in the model of household population dynamics has been established. A model of the evolution of the Lorentz curve describing the distribution of income between agents is proposed. It is proved that in the Ramsey-Bewley model, the evolution of income distribution is consistent with Lorentz majorization. A Pigou-Dalton transfer system (taxes and subsidies) has been built, which generates a stationary income distribution chosen by the welfare state.
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