Mathematical foundations of the Golden Rule. I. Static case

被引：12
|
作者：
Zhukovskiy, V. I. [1 ]
Kudryavtsev, K. N. [2 ]
机构：
[1] Moscow MV Lomonosov State Univ, Moscow, Russia
[2] Natl Res Univ, South Ural State Univ, Chelyabinsk, Russia
来源：
AUTOMATION AND REMOTE CONTROL | 2017年 / 78卷 / 10期
基金：
俄罗斯基础研究基金会;
关键词：
non-cooperative game; Berge equilibrium; Pareto maximum;
D O I：
10.1134/S0005117917100149
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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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页码：1920 / 1940
页数：21
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