报告题目：

Bayesian potential games and its application to road network congestion problem

报告摘要:

In this talk, a new transformation that converts a Bayesian game to a so-called ex-ante agent game (a normal-form game) is introduced. Differently from the existing transformation proposed by R. Selten that changes a Bayesian game to an interim agent game, we prove that the new transformation preserves potentiality. In addition, also prove that there is one-to-one correspondence between pure Bayesian Nash equilibria (BNE) of Bayesian games (if one exists) and pure Nash equilibria (NE) of the resulting ex-ante agent games. Then, we provide a sufficient and necessary condition for a Bayesian game to have an ex-ante agent potential game. Particularly, we prove for two-player games, BPGs are exactly the Bayesian games having ex-ante agent potential games. Furthermore, by using the semi-tensor product of matrices, a potential equation for finite Bayesian games is developed. Based on the potential equation, algorithms for verifying potentiality and for searching pure BNE in finite Bayesian games are designed. Finally, the results are applied to a road network congestion problem with incomplete information.

报告人简介：

吴玉虎、教授、博士生导师、国家级人才计划青年项目入选者、现为大连理工大学控制科学与工程学院院长、IEEE会员、SIAM会员、《Mathematical Reviews》评论员。

一直从事非线性系统、随机逻辑系统的分析、博弈决策和控制理论方法研究及其在发动机控制系统和无人飞行器中的应用研究等科研工作。2008年3月至2012年1月在哈尔滨工业大学攻读博士学位,获得基础数学博士学位。2012年4月至2015年9月，在日本上智大学（Sophia University）做博士后研究员。2015年10月加入大连理工大学。

已在控制理论及应用领域重要期刊以及机械工程领域重要期刊发表论文八十余篇，其中包括发表在国际控制领域两大顶级期刊IEEE Transactions on Automatic Control和Automatica共19篇（第一或通讯作者论文14篇，长文10篇），IEEE系列汇刊等共三十余篇论文，获得IFAC Control Engineering Practice 2020-2022 最佳论文等学术奖项。

主持纵向和横向研究课题10余项（国家自然科学基金4项），担任 Automation等国际期刊编辑，中国自动化学会车辆控制与智能化专业委员会（TCVCI）委员，中国自动化学会控制理论专业委员会（TCCT）逻辑系统控制学组委员。

报告时间：2025.2.26（周三），15:00——16:30

报告地点：东一503

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