报告人：王元华

题目：Coset Weighted Potential Game

摘要：We first define a new kind of potential games, called coset weighted potential game (WPG), which is between the ordinal and weighted potential game. Using semi-tensor product of matrices, an algebraic method is provided to verify whether a finite game is a coset WPG with a pre-assigned set of coset weights, and a simple formula is obtained to calculate the corresponding potential function. Then we propose an recursive algorithm to calculate the unknown coset weights. Based on the definition of evolutionary equivalence between two finite games, we give the concept of near coset WPGs, and its application to game theoretic control is discussed.

报告人介绍：王元华，山东师范大学副教授，硕士生导师。于2004年、2007年和2017年分别获得山东大学自动化专业学士学位、控制理论与控制工程专业硕士学位和博士学位。主要研究领域为有限博弈的演化与控制，逻辑动态系统等。近年来，主持或参与国家基金项目3项，以第一作者或通讯作者发表SCI期刊论文10余篇。

报告时间：2022年11月9日上午9:00-10:30

地点：腾讯会议

邀请人：冯俊娥

联系方式：fengjune@sdu.edu.cn