Enviar artigo por via de e-mail Mathematical foundations of the Golden Rule. I. Static case
- Autores: Zhukovskiy V.I.1, Kudryavtsev K.N.2
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Afiliações:
- Moscow State University
- South Ural State University (National Research University)
- Edição: Volume 78, Nº 10 (2017)
- Páginas: 1920-1940
- Seção: Mathematical Game Theory and Applications
- URL: https://journals.rcsi.science/0005-1179/article/view/150712
- DOI: https://doi.org/10.1134/S0005117917100149
- ID: 150712
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Resumo
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.
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Sobre autores
V. Zhukovskiy
Moscow State University
Autor responsável pela correspondência
Email: zhkvlad@yandex.ru
Rússia, Moscow
K. Kudryavtsev
South Ural State University (National Research University)
Email: zhkvlad@yandex.ru
Rússia, Chelyabinsk
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