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多方参与下的微分对策 被引量:2

Multi-participant Differential Games
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摘要 应用集值理论讨论以两个局中人对抗为主体、多个局中人间接参与的一类特殊微分对策,给出了其极小极大控制的存在性定理. With the aid of the set-valued theory, we discussed a particular differential game for the differential game model of two-player conflicting with other players indirectly affecting outcome and gave the existence theorem of the minimax controls.
作者 王珺 杨雪
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2011年第2期233-234,共2页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:11026043)
关键词 微分对策 多人对策 极小极大控制 differential game multi-player participant game minimax control
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  • 1肖条军.博弈论及其应用[M].上海:上海三联书店版,2005:2.
  • 2Shapley C U, Mandayam N B, Goodman D J. Efficient Power Control via Pricing in Wireless Data Networks [J]. IEEE Transactions on Communications, 2002, 50(2) : 291-303.
  • 3Ansari Q H, Khan Z. On Existence of Pareto Equilibria for Constrained Multiobjective Games [J]. Southeast Asian Bulletin of Mathematics, 2004, 27(9) : 937 -982.
  • 4YANG Hui, YU Jian. Unified Approaches to Well-Posedness with Some Applications[J]. Journal of Global Optimization, 2005, 31(3): 371-381.
  • 5Novak A J, Feichtinger G, Leitmann G. A Differential Game Related to Terrorism.. Nash and Stackelberg Strategies [J]. J OptimTheoryAppl, 2010, 144(3):533-555.
  • 6张杰,郭丽杰,周硕,等.运筹学模型及其应用[M].北京:清华大学出版社,2012.
  • 7逄金辉,张强.模糊多目标两人零和博弈的Pareto策略[J].北京理工大学学报,2008,28(10):934-936. 被引量:1
  • 8陈忠,谢能刚,张子明.多目标决策设计的博弈求解方法[J].河海大学学报(自然科学版),2009,37(2):194-199. 被引量:1
  • 9李金泽,汪训孝.多目标博弈Nash平衡点的存在性[J].西南民族大学学报(自然科学版),2010,36(4):547-550. 被引量:1
  • 10赵薇,蒋岚翔.多目标博弈平衡点存在性定理的推广[J].数学的实践与认识,2011,41(4):241-246. 被引量:2

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