学术报告(熊捷 12.15)

Leader-Follower Stochastic Differential Game with Asymmetric Information and Applications

发布人:杨晓静 发布日期:2020-12-10
主题
Leader-Follower Stochastic Differential Game with Asymmetric Information and Applications
活动时间
-
活动地址
腾讯会议,收听账号及密码:208 932 282
主讲人
熊捷教授 南方科技大学数学系
主持人
郭先平

摘要:

This talk is concerned with a leader-follower stochastic differential game with asymmetric information, where the information available to the follower is based on some sub-σ-algebra of that available to the leader. Such kind of game problems has wide applications in finance, economics and management engineering such as news vendor problems, cooperative advertising and pricing problems. Stochastic maximum principles and verification theorems with partial information will be presented. As an application, a linear-quadratic leader-follower stochastic differential game with asymmetric information is studied. It is shown that the open-loop Stackelberg equilibrium admits a state feedback representation if some system of Riccati equations is solvable. This talk is based on a joint work with Shi and Wang.