maisМоделирование и анализ информационных системModeling and Analysis of Information Systems1818-10152313-5417Yaroslavl State University10.18255/1818-1015-2017-1-5-12mais-422Research ArticleОригинальные статьиArticlesПерераспределение, производство и неравенствоProduction, Redistribution, and InequalityЗахаровАлексей ВладимировичZakharovAlexey V.

ул. Мясницкая, 20, Москва, 101000

20 Myasnitskaya str., Moscow 101000

al.v.zakharov@gmail.comЗахаровВладимир ЕвгеньевичZakharovVladimir E.

доктор физико-математических наук, академик РАН

 

doctor of science, Tucson, USA

Национальный Исследовательский Университет "Высшая Школа Экономики"РоссияNational Research University Higher School of EconomicsRussian FederationНовосибирский государственный университет; Аризонский университетРоссияUniversity of Arizona; Novosibirsk State UniversityRussian Federation201721022017241512Copyright © Захаров А.В., Захаров В.Е., 20172017Захаров А.В., Захаров В.Е.Zakharov A.V., Zakharov V.E.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.mais-journal.ru/jour/article/view/422

Мы используем бесконечномерную модель Лотки–Вольтерра для анализа производства, накопления и перераспределения богатства в экономике. Мы показываем, что если объем производства по сравнению с объемом перераспределения невелик, то итоговое распределение богатства будет очень неравным. В предельном случае, все богатство будет сконцентрировано в одних руках. Личность победителя определяется его способностью производить и перераспределять богатство. Похожие исходы можно наблюдать и для некоторых физических процессов. Статья публикуется в авторской редакции.

We use an infinite-dimensional Lotka–Volterra model to analyze production, accumulation, and redistribution of wealth in an economy. We show that, if the amount of wealth produced in the economy is small relative to the amount redistributed, the eventual distribution of wealth will be extremely unequal, with all of it being concentrated in single hands in the limit case. The winner’s identity is determined by his ability to redistribute and produce wealth. Similar outcomes are observed in some physical processes. Article is published in the authors’ wording.

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The authors declare that there are no conflicts of interest present.