洛伦兹平衡:概念和进化检测

Réka Nagy, D. Dumitrescu, R. Lung
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引用次数: 5

摘要

博弈论中最流行的解决方案概念,纳什和帕累托均衡,在现实生活中应用时有一些局限性。纳什均衡很少能保证最大收益,而帕累托均衡是一组通常难以处理的解决方案。我们的目标是找到一种平衡概念,提供一套有效的解决方案,对所有参与者都是公平的。考虑Lorenz优势关系,提出了一种基于拥挤的差分进化方法来检测Lorenz最优解。提出了博弈的洛伦兹平衡。实验结果表明了该方法的有效性。
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Lorenz Equilibrium: Concept and Evolutionary Detection
The most popular solution concepts in game theory, Nash and Pareto equilibrium, have some limitations when applied in real life. Nash equilibrium rarely assures maximal payoff and the Pareto equilibrium is a set of solutions that is often too hard to process. Our aim is to find an equilibrium concept that provides a small set of efficient solutions and is equitable for all players. The Lorenz dominance relation is considered and a crowding based differential evolution method is proposed to detect the Lorenz-optimal solutions. The Lorenz equilibrium for games is proposed. Experimental results show the effectiveness of the proposed approach.
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