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若干联盟博弈平衡点的稳定性研究

The Stability of Some Equilibriums in the Coalition Game
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摘要 首先引入有限联盟博弈的拟平衡点的概念,然后利用向量优化的稳定性理论研究该类平衡点的稳定性,获得了一个拟平衡点的稳定性定理,最后用同样的方法讨论了s-平衡点的稳定性问题,并获得了s-平衡点的稳定性定理。由于拟平衡点包括了一般的J-平衡点,因此文中的拟平衡点的稳定性定理更具有普遍性和实用性。 The definition of quasi-equilibrium in the coalition game is introduced in this paper. By using the stability theory of the vector function optimization, we obtain a stability theorem of the quasi-equilibrium. Finally, the stability problem of the s-equilibrium is discussed with the same method and a stability theorem of the s-equilibrium is obtained. In this paper, the general J-equilibrium is included in the quasi-equilibrium, hence the stability theorem of the quasi-equilibrium is more universal and practical.
出处 《杭州电子科技大学学报(自然科学版)》 2014年第6期27-30,共4页 Journal of Hangzhou Dianzi University:Natural Sciences
基金 国家自然科学基金面上资助项目(A0114) 浙江省自然科学基金资助项目(LY12A01002)
关键词 联盟博弈 J-平衡点 拟平衡点 s-平衡点 稳定性 coalition game J-equilibrium quasi-equilibrium s-equilibrium stability
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参考文献7

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