| G-凸空间中具有Gθ-优化映象的广义博弈的平衡存在定理 |
| |
| 引用本文： | 邓磊.G-凸空间中具有Gθ-优化映象的广义博弈的平衡存在定理[J].西南师范大学学报(自然科学版),2006,31(2):1-8. |
| |
| 作者姓名： | 邓磊 |
| |
| 作者单位： | 西南大学,数学与财经学院,重庆,400715 |
| |
| 基金项目： | 国家自然科学基金资助项目(10471113)
重庆市自然科学基金资助项目(CSTC,2005BB2097)． |
| |
| 摘 要： | 给出了不具有开原象的Gθ-对应和Gθ-优化映象的概念;在非仿紧的G-凸空间中证明了关于Gθ-对应和Gθ-优化映象的极大元存在定理．作为应用,在非仿紧的G-凸空间中建立了具有无限个选手和Gθ-优化选择对应的定性博弈和广义博弈的平衡存在定理．
|
| 关 键 词： | G-凸空间 Gθ-对应 Gθ-优化映象 极大元 广义博弈 |
| 文章编号： | 1000-5471（2006）02-0001-08 |
| 收稿时间： | 2005-06-20 |
| 修稿时间： | 2005年6月20日 |
Existence Theorems of Equilibria for Generalized Games with Gθ-majorized Mappings in G-convex Spaces |
| |
| DENG Lei.Existence Theorems of Equilibria for Generalized Games with Gθ-majorized Mappings in G-convex Spaces[J].Journal of Southwest China Normal University(Natural Science),2006,31(2):1-8. |
| |
| Authors: | DENG Lei |
| |
| Institution: | School of Mathematics and Finance, Southwest University, Chongqing 400715, China |
| |
| Abstract: | New classes of Gθ -correspondences and Gθ -majorized mappings without open lower sections are introduced in G-convex spaces. Some existence theorems of maximal elements for Gθ -correspondences and Gθ -majorized mappings are obtained under nonparacompact setting of G-convex spaces. As applications, some new equilibrium existence theorems for qualitative games and generalized games with infinite set of players and Gθ -majorized preference correspondences are established under nonparacompact setting of G-convex spaces. |
| |
| Keywords: | G-convex space maximal element generalized game |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《西南师范大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《西南师范大学学报(自然科学版)》下载免费的PDF全文 |
