| 指派问题的纳什均衡解 |
| |
| 引用本文： | 徐屹嵩,王应明. 指派问题的纳什均衡解[J]. 运筹与管理, 2013, 22(4): 101-105 |
| |
| 作者姓名： | 徐屹嵩 王应明 |
| |
| 作者单位： | 福州大学 公共管理学院,福建 福州 350108 |
| |
| 基金项目： | 国家杰出青年科学基金:决策理论与方法(70925004) |
| |
| 摘 要： | 为弥补传统指派问题解不符合个体理性的不足,提出指派问题的纳什均衡解,并证明有限指派问题有且仅有纯纳什均衡解。相比传统的指派问题解,纯纳什均衡符合Pareto最优,是个体理性视角下的最优解。在此基础上,给出一个综合考虑个体理性与集体理性的求解方法。
|
| 关 键 词： | 指派问题 纳什均衡 个体理性 |
| 收稿时间： | 2012-05-17 |
The Nash Equilibrium in the Assignment Problem |
| |
| XU Yi-song,WANG Ying-ming. The Nash Equilibrium in the Assignment Problem[J]. Operations Research and Management Science, 2013, 22(4): 101-105 |
| |
| Authors: | XU Yi-song WANG Ying-ming |
| |
| Affiliation: | School of Public Administration, Fuzhou University, Fuzhou 350108, China |
| |
| Abstract: | Considering the assigned persons' individual rationality, this paper proposed the a method to solve the assignment problem with game theory, and prove the existence of the pure strategy nash equilibrium. Compare with the assignment result, the Pure Strategy Nash Equilibrium correspond Pareto Optimum. And it is the optimal solution in individual rational environment. Above all, we proposed a complex method considering individual rationality and group rationality simultaneously. |
| |
| Keywords: | the assignment problem the nash equilibrium individual rationality |
|
| 点击此处可从《运筹与管理》浏览原始摘要信息 |
|
点击此处可从《运筹与管理》下载免费的PDF全文 |
|
