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广义最大元与Nash平衡的推广 被引量:1

GENERALIED LARGEST ELMENT AND THE GENERALIZATION OF NASH EQUILIBRIUM
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摘要  运用广义最大元的方法对n人非合作对策的Nash平衡的概念进行了推广,并给出了相应的存在性定理,所得结论较之原有结果更具一般性,并且不再依赖于局中人偏好的传递性。 In this paper, Nash equilibrium of n-person non-cooperative games is stuied and generalized, using the method of generalized largest element, and Existence Theorem is gived.
机构地区 贵州大学数学系
出处 《贵州科学》 2004年第2期11-14,共4页 Guizhou Science
关键词 广义最大元 NASH平衡 传递性. generalized largest element Nash equilibrium transition
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参考文献13

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同被引文献4

  • 1NICHOLAS C, YANNELIS N D.Prabhakar. existence of maximal elements and equilibria in linear topological spaces[Y]. Journal of Mathematical Economics, 1983, 12: 233-245.
  • 2史树中.凸分析[M].上海:上海科学技术出版社,2008.
  • 3KIM C BORDER. Fixed point theorems with applications to economics and game theory[M]. London: Cambridge university press, 1985.
  • 4杨光惠,向淑文.广义最大元的通有稳定性[J].广西师范大学学报(自然科学版),2010,28(2):50-52. 被引量:3

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