| n人非合作博弈的轻微利他平衡点 |
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| 引用本文： | 俞建.n人非合作博弈的轻微利他平衡点[J].系统科学与数学,2011,31(5). |
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| 作者姓名： | 俞建 |
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| 作者单位： | 贵州大学数学系,贵阳,550025 |
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| 基金项目： | 贵州科学技术基金重点项目(700793106)资助课题 |
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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.
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| 关 键 词： | 轻微利他平衡点 本质平衡点 Baire分类 |
SLIGHTLY ALTRUISTIC EQUILIBRIA OF N-PERSON NONCOOPERATIVE GAMES |
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| YU Jian.SLIGHTLY ALTRUISTIC EQUILIBRIA OF N-PERSON NONCOOPERATIVE GAMES[J].Journal of Systems Science and Mathematical Sciences,2011,31(5). |
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| Authors: | YU Jian |
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| Institution: | YU Jian (Department of Mathematics,Guizhou University,Guiyang 550025) |
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| 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. |
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| Keywords: | Slightly altruistic equilibria essential equilibria Baire Category |
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