轻微利他弱Pareto-Nash均衡

蒲勇健;杨哲

系统科学与数学 ›› 2010, Vol. 30 ›› Issue (9) : 1259-1266.

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系统科学与数学 ›› 2010, Vol. 30 ›› Issue (9) : 1259-1266. DOI: 10.12341/jssms09262
论文

轻微利他弱Pareto-Nash均衡

    蒲勇健, 杨哲
作者信息 +

Slightly Altruistic Weakly Pareto-Nash Equilibria

    PU Yongjian, YANG Zhe
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文章历史 +

摘要

2008年,Marco和Morgan在正规型博弈中引入轻微利他均衡和友好均衡的概念.利用轻微利他的思想,研究多目标博弈.证明轻微利他弱Pareto-Nash均衡的存在性定理,进一步地讨论轻微利他弱Pareto-Nash均衡和本质均衡的关系.

Abstract

In 2008, Marco and Morgan introduced slightly altruistic equilibria and friendliness equilibrium in normal form. In this paper, based on the idea of slightly altruism, multicriteria games by the mean of slightly behavior is studied. It is proven that the existence of slightly altruistic weakly Pareto-Nash equilibria. Finally, the relation between the slightly altruistic weakly Pareto-Nash equibrium and the essential equibrium is considered.

关键词

轻微利他弱Pareto-Nash均衡 / 轻微利他 / 精炼.

Key words

Slightly altruistic weakly Pareto-Nash equilibria / slightly altruism / refinement.

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蒲勇健 , 杨哲. 轻微利他弱Pareto-Nash均衡. 系统科学与数学, 2010, 30(9): 1259-1266. https://doi.org/10.12341/jssms09262
PU Yongjian , YANG Zhe. Slightly Altruistic Weakly Pareto-Nash Equilibria. Journal of Systems Science and Mathematical Sciences, 2010, 30(9): 1259-1266 https://doi.org/10.12341/jssms09262
中图分类号： 91A10    91A40    91A44   
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