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不确定性下非合作博弈的有限理性模型及良定性 被引量：5

Bounded rationality and well-posedness in non-cooperative games under uncertainty
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摘要 为不确定性下非合作博弈建立了一个具有抽象理性函数的参数化模型,并得到了一些不确定性下非合作博弈通有良定性的新结论. A parameterized model for non-cooperative games under uncertainty with an associated abstract rationality function is established. Then, some new results for the generic well-posedness of non-cooperative games under uncertainty are obtained.
作者 陆辰超 邬冬华
机构地区 上海大学理学院
出处 《应用数学与计算数学学报》 2016年第3期339-348,共10页 Communication on Applied Mathematics and Computation
基金 上海自然科学基金资助项目(09ZR1411100) 上海市重点学科建设资助项目(S30104)
关键词 非合作博弈 有限理性 不确定性 良定 non-cooperative game bounded rationality uncertainty well-posedness
分类号 O225 [理学—运筹学与控制论]
作者简介 通信作者 邬冬华，研究方向为博弈论．E-mail：dhwu@staff．shu．edu．cn
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参考文献10

  • 1Zhukovskii V I, Chikrii A A. Linear-Quadratic Differential Games [M]. Kiev: Na~ukova Doumka, 1994.
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  • 4Moussa L. About the existence of Nash-Slater equilibrium for a non-cooperative game under uncertainty [M]//Caballero R, Ruiz F, Steuer R. Advances in Multiple Objective and Global Programming. Berlin: Springer-Verlag, 1997: 255-262.
  • 5Anderlini L, Canning D. Structural stability implies robustness to bounded rationality [J]. Journal of Economic Theory, 2001, 101: 395-422.
  • 6Yu C, Yu J. On structural stability and robustness to bounded rationality [J]. Nonlinear Analysis: TMA, 2006, 65: 583-592.
  • 7Yang H, Yu J. Unified approaches to well-posedness with some applications [J]. Journal of Global Optimization, 2005, 31(3): 371-381.
  • 8Yu C, Yu J. Bounded rationality in multi-objective games [J]. Nonlinear Analysis: TMA, 2007, 67: 930-937.
  • 9俞建.关于良定问题[J].应用数学学报,2011,34(6):1007-1022. 被引量：25
  • 10Scalzo V. Hadamard well-posedness in discontinuous non-cooperative games [J]. Journal of Mathematical Analysis and Applications, 2009, 360(2): 697-703.

二级参考文献16

  • 1中国科学院数学研究所.对策论讲义[M].北京:人民教育出版社,1960..
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  • 8Anderlini L, Canning D. Structural Stability Implies Robustness to Bounded Rationality. J. of Economic Theory, 2001, 109:395-422.
  • 9Yu C, Yu J. On Structural Stability and Robustness to Bounded Rationality. Nonlinear AnalysisTMA, 2006, 65:583-592.
  • 10Yu C, Yu J. Bounded Rationality in Multiobjective Games. Nonlinear Analysis TMA, 2007, 67: 930-937.

共引文献24

同被引文献33

引证文献5

二级引证文献13

应用数学与计算数学学报
2016年 第3期

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