国家天元数学中部中心随机分析Colloquium系列报告 | 郭先平 教授(中山大学)

发布时间: 2022-10-07 13:16

报告题:Non-Stationary Markov Games with a Probability Criterion

报告时间:2022-11-01  15:00 - 16:00

报告人:郭先平 教授  中山大学

腾讯会议ID:980 459 070

Abstract:This talk considers nonstationary two-person zero-sum stochastic games under a probability criterion. Under a mild condition, we establish a comparison theorem, and derive a sequence of the Shapley equations for the probability criterion. Using the comparison theorem, we prove the existences of the value of the game and a Nash equilibrium. Moreover, we provide a value iteration-type algorithm for computing the value of the game and epsilon-Nash equilibria. Finally, an inventory-production example is presented to illustrate the applications of our results.