| 不确定性下多目标博弈中弱Pareto-NS均衡的存在性 |
| |
| 引用本文： | 杨哲,蒲勇健,郭心毅.不确定性下多目标博弈中弱Pareto-NS均衡的存在性[J].系统工程理论与实践,2013,33(3):660-665. |
| |
| 作者姓名： | 杨哲 蒲勇健 郭心毅 |
| |
| 作者单位： | 1. 重庆工商大学 经济学院, 重庆 400067;
2. 重庆大学 经济与工商管理学院, 重庆 400044;
3. 重庆电子工程职业学院 财经学院, 重庆 401331 |
| |
| 基金项目： | 重庆大学研究生科技创新基金 |
| |
| 摘 要： | 在已知不确定参数变化范围的假设下, 研究了多目标博弈中弱Pareto-NS均衡点的存在性问题. 首先结合非合作博弈中NS-均衡的定义, 给出不确定性下多目标博弈中弱Pareto-NS均衡的定义. 进一步借助Fan-Glicksberg不动点定理, 证明弱Pareto-NS均衡点的存在性. 最后给出算例, 验证其可行性.
|
| 关 键 词： | 多目标博弈 弱Pareto-NS均衡 不确定性 存在性 |
| 收稿时间： | 2010-11-17 |
On the existence of weakly Pareto-NS equilibrium points in multi-objective games under uncertainty |
| |
| YANG Zhe
,
PU Yong-jian
,
GUO Xin-yi.On the existence of weakly Pareto-NS equilibrium points in multi-objective games under uncertainty[J].Systems Engineering —Theory & Practice,2013,33(3):660-665. |
| |
| Authors: | YANG Zhe PU Yong-jian GUO Xin-yi |
| |
| Affiliation: | 1. College of Economics, Chongqing Technology and Business University, Chongqing 400067, China;
2. College of Economics and Business Administration, Chongqing University, Chongqing 400044, China;
3. College of Finance and Economics, Chongqing College of Electronic Engineering, Chongqing 401331, China |
| |
| Abstract: | In this paper, under the assumption that the domain of the undetermined parameters is known, we study the existence theorem for weakly Pareto-NS equilibrium points in multi-objective games. Combined the concept of NS-equilibrium in noncooperative games, we firstly introduce the concept of weakly Pareto-NS equilibrium points, further prove the existence of weakly Pareto-NS equilibrium points in multi-objective games under uncertainty by the mean of Fan-Glicksberg fixed point theorem. Finally, a numeric example is given. |
| |
| Keywords: | multi-objective game weakly Pareto-NS equilibrium uncertainty existence |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《系统工程理论与实践》浏览原始摘要信息 |
|
点击此处可从《系统工程理论与实践》下载全文 |
|
