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研究生:陳俐芳
研究生(外文):Chen, Li-fang
論文名稱:抽象經濟與系統之廣義向量擬平衡點問題之存在定理及其應用
論文名稱(外文):Existence Theorems of Abstract Economies and System of Generalized Vector Quasi-Equilibrium Problems with Applications
指導教授:林來居林來居引用關係
指導教授(外文):Lin, Lai-Jiu
學位類別:碩士
校院名稱:國立彰化師範大學
系所名稱:數學系
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:2003
畢業學年度:91
語文別:中文
論文頁數:38
中文關鍵詞:抽象經濟擬平衡點問題下半連續系統之向量擬平衡點
外文關鍵詞:Abstract EconomiesQuasi-Equilibrium Problemslower semicontinuoussystem vector quasi-equilibrium
相關次數:
  • 被引用被引用:0
  • 點閱點閱:205
  • 評分評分:
  • 下載下載:12
  • 收藏至我的研究室書目清單書目收藏:0
在這一篇論文裡,我們首先建立廣義抽象經濟之存在定理─定義在非緊致與非仿緊的策略集合且具有下半連續之多值映射與模糊限制之多值映射。再以我們的結果推論,得到系統之廣義向量擬平衡點問題之解的存在性。在應用上,我們導出一些系統之混合向量擬似變分不等式問題、Debreu形式向量平衡點問題與Nash形式向量平衡點問題。
In this paper, we first establish the existence theorems of generalized abstract economy with a lower semicontinuous constraint correspondence and a fuzzy constraint correspondence defined on non-compact and non-paracompact strategy sets. As consequence of our results, we get existence theorems for a solution to the system of generalized vector quasi-equilibrium problems. As applications, we derive some existence results for the system of mixed vector quasi-variational-like inequality problems, Debreu type vector equilibrium problems and Nash type equilibrium problem for vector-valued mappings.
Abstract (Chinese.............................................I
Abstract (English)...........................................II
Acknowledgements............................................III
Table of Contents............................................IV
Introduction..................................................1
Preliminaries.................................................6
The Existence of Equilibria for Generalized Games.............9
Existence Results for (SGVQEP)...............................14
Applications.................................................22
Reference....................................................35
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