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学术报告:The existence and computation of Nash equilibria for zero-sum semi-Markov games with the discounted probability criteria
报告时间:2019年10月26日(周六)下午4:00
报告地点:理学院二楼 智慧教室
报告题目:The existence and computation of Nash equilibria for zero-sum semi-Markov games with the discounted probability criteria
报告嘉宾:郭先平
讲座概要:In this talk, we concern with two-person zero-sum semi-Markov games in continuous-time, and will introduce a new performance criterion. More precisely, we consider the probability that the payoff exceeds a level, which means a security probability for player 1 and risk probability for player 2. Under a suitable condition on the primitive data of the game model, we not only establish the existence of the game’s value and a pair of optimal policies, but also provide a policy iteration algorithm for computing the value of the game and optimal policies. Finally, we illustrate some applications of our main results with an example.
嘉宾简介:郭先平,中山大学,教授、博士生导师,国家杰出青年科学基金获得者,广东省珠江学者特聘教授. 1987年毕业于湖南师范大学数学系,1996年于中南大学获博士学位(概率统计专业),2002于中山大学晋升为教授,2003年在中山大学被聘为博士生导师并入选“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”,2005年被评为“广东省优秀博士后”,2008年在国际会议“The 7-th WCICA” 上获优秀论文奖, 2009年获得国家杰出青年科学研究基金,2010年被聘为广东省珠江学者特聘教授. 现任国际著名(SCI)杂志 Advances in Applied Probability 和 Journal of Applied Probability的编委、以及《应用数学学报》和《运筹学学报》常务编委。