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

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. © Pleiades Publishing, Ltd. 2025.

Авторы
Parastaev Grigorii S. 1, 2 , Shananin Alexander A. 2, 3, 4, 5, 6
Журнал
Computational Mathematics and Mathematical Physics
Номер выпуска
10
Язык
Английский
Страницы
2299-2316
Статус
Опубликовано
Ссылка
Внешняя ссылка
DOI
10.1134/S0965542525701258
Том
65
Год
2025
Организации
  • 1 Lomonosov Moscow State University, Moscow, Moscow Oblast, Russian Federation
  • 2 Federal Research Center Informatics and Management of the Russian Academy of Sciences, Moscow, Moscow Oblast, Russian Federation
  • 3 Moscow Center for Fundamental and Applied Mathematics, Moscow, Moscow, Russian Federation
  • 4 Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Oblast, Russian Federation
  • 5 RUDN University, Moscow, Moscow Oblast, Russian Federation
  • 6 All-Russian Research Institute of Labor, Moscow, Russian Federation
Ключевые слова
income distribution; Lorenz majorization; numerical simulation; Pigou–Dalton transfer; Ramsey–Bewley model
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