摘要
矩阵半张量积被广泛地应用在有限博弈的研究中,例如:1)演化博弈;2)势博弈;3)有限博弈的向量空间分解;4)基于势博弈的优化与控制;5)合作博弈等.本文的目的,就是对上述各种应用做一个全面的介绍,包括其原理、主要成果、以及尚待解决的问题.
Semi-tensor product of matrices has various applications for finite games, including 1) evolutionary game;2)potential game;3) vector space structure and decomposition of finite games;4) potential-based optimization and control;5) cooperative game, etc. The purpose of this paper is to provide a comprehensive introduction for the applications of semi-tensor product to finite games, including its principle, main results, and some faced challenging problems.
作者
程代展
刘泽群
CHENG Dai-zhan;LIU Ze-qun(Key Laboratory of Systems and Control,Academy of Mathematics and Systems Science,Chinese Academy of Science,Beijing 100190,China;School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China)
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2019年第11期1812-1819,共8页
Control Theory & Applications
基金
国家自然科学基金项目(61773371,61733018)资助~~
