n人非合作博弈的轻微利他平衡点

俞建

系统科学与数学 ›› 2011, Vol. 31 ›› Issue (5) : 534-539.

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系统科学与数学 ›› 2011, Vol. 31 ›› Issue (5) : 534-539. DOI: 10.12341/jssms11605
论文

n人非合作博弈的轻微利他平衡点

    俞建
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SLIGHTLY ALTRUISTIC EQUILIBRIA OF N-PERSON  NONCOOPERATIVE GAMES

    YU Jian
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摘要

对一类不连续的博弈证明了轻微利他平衡点存在且对这些不连续博弈,如果本质平衡点存在, 则他们必是轻微利他平衡点, 进而证明了大多数博弈(在Baire分类意义上)是轻微利他的,即它的所有平衡点都是轻微利他的.

Abstract

It is proved that slightly equilibria exist in a class discontinuous games and for those discontinuous games, whenever essential equilibria  exist, they are altruistic equilibria. Moreover, it is shown that most of the games (in the sense of Baire Category) are slightly altruistic, i.e., all the equilibria are slightly altruistic.

关键词

轻微利他平衡点 / 本质平衡点 /   / Baire分类

Key words

Slightly altruistic equilibria /  essential equilibria /  Baire Category

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俞建. n人非合作博弈的轻微利他平衡点. 系统科学与数学, 2011, 31(5): 534-539. https://doi.org/10.12341/jssms11605
YU Jian. SLIGHTLY ALTRUISTIC EQUILIBRIA OF N-PERSON  NONCOOPERATIVE GAMES. Journal of Systems Science and Mathematical Sciences, 2011, 31(5): 534-539 https://doi.org/10.12341/jssms11605
中图分类号: 91A10    91A40   
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