基于策略熵的博弈分析研究

Game Analyzing Based on Strategic Entropy

通过建立博弈问题的信息论模型和定义不同类型博弈问题的策略熵,论证了纳什均衡与最大熵之间的内在联系:最大策略熵是纳什均衡的充分必要条件。这表明纳什均衡不仅是利益的均衡同时也是信息均衡的结果。在此基础上,给出了基于熵最大化准则的纳什均衡估计与精炼的方法。

Based on communication model in information theory, a game theoretical model is developed. And different definitions of strategic entropy for different kind of games are presented respectively. Then we prove that a mixed strategy with maximum entropy is sufficient and necessary condition for Nash equilibrium, which demonstrates that Nash equilibrium is the equilibrium not only of benefits but also of information. Based on the basic theorem we presented, the method of achieving and refining Nash equilibrium is presented by the end.