Mathematical foundations of the Golden Rule. I. Static case


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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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V. Zhukovskiy

Moscow State University

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Email: zhkvlad@yandex.ru
俄罗斯联邦, Moscow

K. Kudryavtsev

South Ural State University (National Research University)

Email: zhkvlad@yandex.ru
俄罗斯联邦, Chelyabinsk

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