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Abstract <p>In this paper, a model of the evolution of the Lorenz curve, describing the distribution of income between economic agents, is proposed. It is proved that the evolution of income distribution is consistent with Lorenz majorization in the Ramsey–Bewley model. A Pigou–Dalton transfer (tax and subsidy) system, which generates a stationary income distribution chosen by the welfare state, is constructed. Numerical calculations allow us to formulate a conjecture about the stability of the Lorenz curve corresponding to the selected income distribution.</p>

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Lorenz Majorization and Pigou–Dalton Transfers in the Ramsey–Bewley Model

  • 期刊论文

  • 发表日期：

    2025年10月1日

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  • G. S. Parastaev,
  • A. A. Shananin

摘要

Abstract

In this paper, a model of the evolution of the Lorenz curve, describing the distribution of income between economic agents, is proposed. It is proved that the evolution of income distribution is consistent with Lorenz majorization in the Ramsey–Bewley model. A Pigou–Dalton transfer (tax and subsidy) system, which generates a stationary income distribution chosen by the welfare state, is constructed. Numerical calculations allow us to formulate a conjecture about the stability of the Lorenz curve corresponding to the selected income distribution.