没有紧性, 连续性和凹性的多准则对策的帕雷多平衡<sup>*</sup>

丁协平

没有紧性, 连续性和凹性的多准则对策的帕雷多平衡^*

丁协平

四川师范大学成都 6100066

基金项目: * 国家自然科学基金

计量
- 文章访问数: 1972
- HTML全文浏览量: 113
- PDF下载量: 688
- 被引次数: 0
出版历程
- 收稿日期: 1995-09-06
- 刊出日期: 1996-09-15

Pareto Equilibria of Multicriteria Games without Compactness,Continuity and Concavity

Ding Xieping

Department of Mathematics, Sichuan Normal University Chengdu, Sichuan 610066, P. R. China

摘要

摘要: 在本文中利用作者得到的一极小极大不等式,对不具有紧性,连续性和四性的多准则对策在拓扑矢量空间和自反Banach空间内证明了某些帕雷多平衡存在定理。
- 多准则对策 /
- 帕雷多平衡 /
- γ-转移紧下半连续 /
- γ-对角拟凹
Abstract: In this paper.by using a minimax inequality obtained by the author,some existence theorems of Pareto equilibria for multicriteria games without compactness,continuity and concavity are proved in toplogical vector spaces and reflexive Banach spaces.
- multicriteria game /
- Pareto equilibria /
- γ-transfer /
- compactly lower Semicontinuity

HTML全文

参考文献(15)

[1]	R.J.Williams,Sufficient conditions for Nash equilibria in N-person games over reflexive Banach spaces,J.Optim.Theory and appl.,30(1980),383-394.
[2]	J.Yu,On Nash equilibria in N-person games over reflexive Banach spaces,J.Optirn.Theorv acrd Appl.,73(1992),211-214.
[3]	J.C.Yao,Nash equilibria in N-person games with convexity,Appl..Lfath.Zett.,6.5(1992),67-69.
[4]	K.K.Tan and J.Yu,New minimax inequality with applications to existence theorems of equilibrium points,J.Optim.Theory and Appl.,82(1994),105-120.
[5]	D.Ghose and U.R.Prasad,Solution concepts in two-person multicriteria games,J.Ovtim.Theory and ADUI.,63(1989),167-189.
[6]	F.Szidarovszky,M.E.Gershou and L.Duckstein,Techniques forhlultiobjective Decision Making in Svstems Management,Elsevier,Amsterdam(1986).
[7]	R.V.Khachatryan,Dynamically stable optimality principle in multicriteria multistep game.Dokl.Akad.Nauk.Arm.,SSR.,86,1(1988),23-26.(in Russian)
[8]	S.Y.Wang,An existence theorem of a Pareto equilibrium,Appl..Yfath.Lett.,4,3(1991),61-63.
[9]	K.C.Border,Fired Point Theorems with Applications to Economics and Game Theory,Cambridge University Press,Cambridge(1985).
[10]	J.X.Zhou and G.Chen,Diagonal convexity conditions for problems in convex analysis and quasi-variational inequalities,J.Math.Anal.Appl.,132(1988),213-225.
[11]	G.Tian,Generalizations of the FKKM theorem and the Fan minimax inequality with applications to maximal elements,price equilibrium and complementarily,J.Math,Anal.Appl.170(1992),457-471.
[12]	X.P.Ding,New H-KKM theorems and their applications to geometric property,coincidence theorems,minimax inequality and maximal elements,Indian J.Pure and Appl.Math.,26,1(1995),1-19.
[13]	X.P.Ding,Best approximation and coincidence theorems,J.Sichuan Normal University,18,2(1995),21-29.
[14]	Fan Ky,A miximax inequality and applications,Inequalities III,Ed.by O.Shisha Acad.Press,New York(1972),103-113.
[15]	G.Allen,Variatiooal inequalities,complementarity problems,and duality theorems,J.Math.Anal.Appl.,58(1977),1-10.