Models of Two-Stage Mutual Best Choice

被引:0
作者
S. I. Dotsenko
A. A. Ivashko
机构
[1] Taras Shevchenko National University of Kyiv,Institute of Applied Mathematical Research, Karelian Research Center
[2] Russian Academy of Sciences,undefined
来源
Automation and Remote Control | 2018年 / 79卷
关键词
mutual choice; population; natural mating; selection; Nash equilibrium;
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学科分类号
摘要
In this paper, we develop and study a game-theoretic model of mutual choice with two types of agents (groups) as follows. Each agent wants to make a couple with another agent from the opposite group. In contrast to classical best-choice models, two agents make a couple only by mutual agreement. We consider two setups, namely, natural mating (each agent acts in accordance with personal interests) and artificial selection (forced mating to maximize the average quality of couples). In the first case, the Nash equilibrium is determined; in the second case, an optimal selection procedure is designed. We analyze some modifications of the problem with different payoff functions and incomplete information.
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页码:1722 / 1731
页数:9
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