Email this article Mathematical foundations of the Golden Rule. I. Static case
- Authors: Zhukovskiy V.I.1, Kudryavtsev K.N.2
-
Affiliations:
- Moscow State University
- South Ural State University (National Research University)
- Issue: Vol 78, No 10 (2017)
- Pages: 1920-1940
- Section: Mathematical Game Theory and Applications
- URL: https://journals.rcsi.science/0005-1179/article/view/150712
- DOI: https://doi.org/10.1134/S0005117917100149
- ID: 150712
Cite item
Open Access
Access granted
Subscription Access
Abstract
The Berge equilibrium concept was suggested by Russian mathematician K. Vaisman in 1994. In this paper, we suggest to use this concept as a mathematical model of the Golden Rule. The Berge–Pareto equilibrium is formalized and sufficient conditions for the existence of the equilibrium are found. As a supplement, the existence of the mixed strategy equilibrium is proved.
Keywords
About the authors
V. I. Zhukovskiy
Moscow State University
Author for correspondence.
Email: zhkvlad@yandex.ru
Russian Federation, Moscow
K. N. Kudryavtsev
South Ural State University (National Research University)
Email: zhkvlad@yandex.ru
Russian Federation, Chelyabinsk
Supplementary files
