报告时间：2023/3/09 开始时间：16:00—

报告地址：格物楼数学中学528室

报告题目： Nonstationary nonzero-sum Markov games under a probability criterion

报告摘要：This paper deals with N-person nonzero-sum discrete-time Markov games under a probability criterion, in which the transition probabilities and reward functions are allowed to vary with time. Differing from the existing works on the expected reward criteria, our concern here is to maximize the probabilities that the accumulated rewards until the first passage time to any target set exceed a given goal, which represent the reliability of the players' income. Under a mild and suitable condition, by providing a comparison theorem for the probability criterion, we prove the existences of a Nash equilibrium over history-dependent policies. Moreover, an example is given to illustrate the applications of our results.

报告人简介：郭先平，男，博士，博士生导师，国家杰出青年科学基金获得者， 1996年于中南大学获博士学位，2002于中山大学晋升为教授，2003年入选教育部优秀青年教师资助计划，2004年入选教育部新世纪优秀人才支持计划，2010年被评为珠江学者特聘教授。担（曾）任国际（SCI）杂志 Advances in Applied Probability，Journal of Applied Probability，Science China Mathematics，Journal of Dynamics and Games，及国内期刊《中国科学：数学》、《应用数学学报》、《应用概率统计》、等杂志编委。研究兴趣为马氏决策过程、随机博弈等。