The Gini Index and the Ramsey's Conjecture on Social Stratification

In the present work, we prove the Ramsey's conjecture for household population in case when the consumer loan is allowed but must be repaid. We also establish that the Gini index is the Lyapunov function for the corresponding model of social dynamics.

Authors
Parastaev G.S.1, 2 , Shananin A.A. 1, 2, 3, 4, 5
Conference proceedings
Динамические системы: устойчивость, управление, дифференциальные игры
Language
English
Pages
487-490
Status
Published
Year
2024
Organizations
  • 1 Lomonosov Moscow State University
  • 2 Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences
  • 3 Moscow Institute of Physics and Technology
  • 4 Peoples' Friendship University of Russia
  • 5 Moscow Center of Fundamental and Applied Mathematics
Keywords
Ramsey's Conjecture; optimal synthesis; discount rate; population dynamics; consumer loan
Cite
ГОСТ MLA RIS BibTex
Share

Other records