A Matrix Approach to the Modeling and Analysis of Networked Evolutionary Games With Time Delays |
| |
Authors: | Guodong Zhao Yuzhen Wang Haitao Li |
| |
Affiliation: | 1.School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China2.School of Control Science and Engineering, Shandong University, Jinan 250061, China |
| |
Abstract: | Using the semi-tensor product method, this paper investigates the modeling and analysis of networked evolutionary games (NEGs) with finite memories, and presents a number of new results. Firstly, a kind of algebraic expression is formulated for the networked evolutionary games with finite memories, based on which the behavior of the corresponding evolutionary game is analyzed. Secondly, under a proper assumption, the existence of Nash equilibrium of the given networked evolutionary games is proved and a free-type strategy sequence is designed for the convergence to the Nash equilibrium. Finally, an illustrative example is worked out to support the obtained new results. |
| |
Keywords: | Fictitious play process Nash equilibrium networked evolutionary games (NEGs) semi-tensor product of matrices |
|
| 点击此处可从《》浏览原始摘要信息 |
|
点击此处可从《》下载全文 |
|