删除或更新信息,请邮件至freekaoyan#163.com(#换成@)

关于平衡问题的有限理性和良定性

本站小编 Free考研考试/2021-12-27

关于平衡问题的有限理性和良定性 丘小玲, 彭定涛, 王春, 陈拼博贵州大学数学与统计学院, 贵阳 550025 The Bounded Rationality and Well-posedness on Equilibrium Problems QIU Xiaoling, Peng Dingtao, WANG Chun, CHEN PinboCollege of Mathematics and Statistics, Guizhou University, Guiyang 550025, China
摘要
图/表
参考文献(0)
相关文章(5)
点击分布统计
下载分布统计
-->

全文: PDF(377 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)
摘要本文首先建立了平衡问题的有限理性模型,证明了大多数的平衡问题在Baire分类意义下都是结构稳定的,对ε-平衡也是鲁棒的,然后利用有限理性模型,对平衡问题的良定性进行了统一的研究,得到了平衡问题良定的充分条件,最后给出了平衡问题良定的特征刻画.
服务
加入引用管理器
E-mail Alert
RSS
收稿日期: 2015-11-06
PACS:O177.9
基金资助:国家自然科学基金(11401124,71461003),贵州省科技厅自然科学基金(黔科合LH字[2016]7424,7425号)资助项目
引用本文:
丘小玲, 彭定涛, 王春, 陈拼博. 关于平衡问题的有限理性和良定性[J]. 应用数学学报, 2017, 40(2): 179-191. QIU Xiaoling, Peng Dingtao, WANG Chun, CHEN Pinbo. The Bounded Rationality and Well-posedness on Equilibrium Problems. Acta Mathematicae Applicatae Sinica, 2017, 40(2): 179-191.
链接本文:
http://123.57.41.99/jweb_yysxxb/CN/ http://123.57.41.99/jweb_yysxxb/CN/Y2017/V40/I2/179


[1] Blum E, Oettli W. From Optimization and Variational Inequalities to Equilibrium Problems. Math. Student, 1994, 63: 123-145
[2] Nikaido H, Isoda K. Note on Noncooperative Convex Game. Pacif. J. Math., 1955, 5: 807-815
[3] Gwinner J. On the Penalty Method for Constrained Variational Inequalities. In: J.-B.Hiriart-Urruty, W. Oettli, J. Store (Eds.), Optimization: Theory and Algorithms, Lecture Notes in Pure and Applied Mathematics. New York: Dekker, 1983, 86: 197-211
[4] Casrellani M, Pappalardo M, Passacantando M. Existence Results for Nonconvex Equilibrium Problems. Optim. Method. Soft., 2010, 25: 49-58
[5] Facchinei F, Kanzow C. Generalized Nash Equilibrium Problems. Annal. Oper. Res., 2010, 175: 177-211
[6] Anderlini L, Canning D. Structural Stability Implies Robustness to Bounded Rationality. J. Econ. Theory, 2001, 109: 395-422
[7] Yu C, Yu J. On Structural Stability and Robustness to Bounded Rationality. Nonlin. Anal. TMA, 2006, 65: 583-592
[8] Yu C, Yu J. Bounded Rationality in Multiobjective Games. Nonlin. Anal. TMA, 2007, 67: 930-937
[9] Yu J, Yang H, Yu C. Structural Stability and Robustness to Bounded Rationality for Non-compact Cases. J. Glob. Optim., 2009, 29: 999-1008
[10] 俞建. 几类考虑有限理性平衡问题解的稳定性. 系统科学与数学, 2009, 29: 999-1008 (Yu J. Bounded rationality and stability of solutions of some equilibrium problems. J. Sys. Sci. and Math. Scis. 2009, 29: 999-1008)
[11] Tykhonov A N. On the Stability of the Functional Optimization Problem. USSR Comp. Math. Phys., 1966, 4: 28-33
[12] Levitin E S, Polyak B T. Convergence of Minimizing Sequences in Conditional Extremum Problems. Soviet Math. Dohl., 1966, 7: 764-767
[13] Dontchev A L, Zolezzi T. Well-posed Optimization Problems. Berlin: Springer Verlag, 1993
[14] Lucchetti R, Revalski J (eds). Recent Developments in Well-posed Variational Problems. Dordrecht: Kluwer Academic Publishers, 1995
[15] Fang Y P, Hu R, Huang N J. Well-posedness for Equilibrium Problems and for Optimization Problems with Equilibrium Constraints. Comput. Math. Appl., 2008, 55: 89-100
[16] Bianchi M, Kassay G, Pini R. Well-posed Equilibrium Problems. Nonlin. Anal., 2010, 72: 460-468
[17] 俞建. 关于良定问题. 应用数学学报}, 2011, 34: 1007-1022 (Yu. On Well-posed Problems. Acta Math. Appl. Sin., 2011, 34(6): 1007-1022)
[18] 俞建. 博弈论与非线性分析续论. 北京: 科学出版社, 2011 (Yu J. Game Theory and Nonlinear Analysis (Continued). Beijing: Science Press, 2011
[19] Yu J. Essential Equilibria of N-person Noncooperative Games. J. Math. Econ., 1999, 31: 361-372
[20] Morgan J, Scalzo V. Pseudocontinuous Functions and Existence of Nash Equilibria. J. Math. Econ., 2007, 43: 174-183
[21] Yu J. Essential Weak Efficient Solution in Multiobjective Optimization Problems. J. Math. Anal. Appl., 1992, 166: 230-235

[1]朴勇杰. 拓扑空间上的不动点和具有上下界的广义平衡问题[J]. 应用数学学报(英文版), 2012, (6): 1082-1090.
[2]赵良才, 张石生. 广义平衡与不动点问题的黏性逼近[J]. 应用数学学报(英文版), 2012, (2): 330-345.
[3]俞建. 关于良定问题[J]. 应用数学学报(英文版), 2011, 34(6): 1007-1022.
[4]唐金芳. 广义混合平衡问题和一族拟-φ-渐近非扩张映象不动点问题的强收敛定理[J]. 应用数学学报(英文版), 2010, 33(5): 878-888.
[5]唐金芳. 广义混合平衡问题和一族拟-φ-渐近非扩张映象不动点问题的强收敛定理[J]. 应用数学学报(英文版), 2010, 33(1): 878-888.



PDF全文下载地址:

http://123.57.41.99/jweb_yysxxb/CN/article/downloadArticleFile.do?attachType=PDF&id=14294
相关话题/应用数学 数学 统计 贵州大学 空间