基于STP相关马尔可夫型演化博弈稳定性研究

Stability of correlated Markov evolutionary games based on STP method

文章研究一类具有τ长度信息的相关马尔可夫型演化博弈问题。使用矩阵半张量积的方法,将研究的博弈模型代数化表示,进而利用李雅普诺夫函数给出该演化博弈稳定的充分必要条件,给出构造李雅普诺夫函数的算法;最后通过一个实例,验证了本文理论结果的有效性。

In this paper,the stability of a class of correlated Markov evolutionary games with length-τinformation is studied.Firstly,the considered game model is algebraically represented by using semi-tensor product(STP).Furthermore,necessary and sufficient conditions for the stability of evolutionary game model are established by using Lyapunov function method.The construction algorithm of Lyapunov function is also given.Finally,an example is provided to demonstrate the effectiveness of the obtained theoretical results.