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| Content Provider | Springer Nature Link |
|---|---|
| Author | Wang, Yuanhua Cheng, Daizhan |
| Copyright Year | 2016 |
| Abstract | This paper investigates the modeling and stability of a class of finite evolutionary games with time delays in strategies. First, the evolutionary dynamics of a sequence of strategy profiles, named as the profile trajectory, is proposed to describe the strategy updating process of the evolutionary games with time delays. Using the semi-tensor product of matrices, the profile trajectory dynamics with two kinds of time delays are converted into their algebraic forms respectively. Then a sufficient condition is obtained to assure the stability of the delayed evolutionary potential games at a pure Nash equilibrium.针对策略存在时间延迟的有限演化博弈, 本文研究了其动态演化过程和稳定性。 首先, 利用矩阵的半张量积这一数学工具, 将策略存在常时滞和变时滞两种不同情况下的逻辑动态演化过程分别转化为相应的代数表达形式。 其次, 利用势博弈的优点, 给出了时滞演化的有限势博弈收敛到纳什均衡点的充分条件。 |
| Starting Page | 1 |
| Ending Page | 10 |
| Page Count | 10 |
| File Format | |
| ISSN | 1674733X |
| Journal | Science in China Series : Information Sciences |
| Volume Number | 59 |
| Issue Number | 9 |
| e-ISSN | 18691919 |
| Language | Chinese |
| Publisher | Science China Press |
| Publisher Date | 2016-08-23 |
| Publisher Place | Beijing |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | evolutionary game time delays potential game semi-tensor product of matrices stability Information Systems and Communication Service |
| Content Type | Text |
| Resource Type | Article |
| Subject | Computer Science |
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