时滞系统在博弈中的应用研究

Application of Time Delay Systems in Games

演化博弈理论解决策略均衡问题是目前比较认可的好方法.对于博弈方的经验行为,还未曾研究.本文以非对称2×2的博弈问题为研究对象,建立起带有时滞的博弈系统,通过动力学相关知识,分别研究了两类系统下博弈参与者策略的稳定状态.数值模拟分析了延时给决策带来的影响.实验表明,时滞作用不改变策略的稳定状态,改变的仅是达到稳态的速率.

Evolutionary game theory is regarded as a common theory to solve the strategy equilibrium problem in games, while the experience of the game participants is not considered. In this paper, we study the asymmetric 2 × 2 game system with time delay. The stable strategies of the game participants in two kinds of such system are studied by applying the dynamic method. The effect of time delay on the decision - making is analyzed by numerical simulation. It is showed that the time delay does not change the stable strategies, but the convergent rate to them.