Incomplete-profile potential games

被引：15
|
作者：
Zhang, Xiao [1 ]
Hao, Yaqi [1 ]
Cheng, Daizhan [1 ,2 ]
机构：
[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2018年 / 355卷 / 02期
基金：
中国国家自然科学基金;
关键词：
NETWORKED EVOLUTIONARY GAMES; BOOLEAN CONTROL NETWORKS; STABILIZATION; STRATEGY; MODEL;
D O I：
10.1016/j.jfranklin.2017.11.009
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The incomplete-profile normal form game (IPNFG), which contains several infeasible profiles, is considered. First, the dynamics of evolutionary IPNFG are presented. Then a method is provided to verify whether an IPNFG is potential. Certain properties of potential IPNFGs are revealed. Next, an algorithm is provided to search the feasible set to guarantee that the corresponding IPNFG is potential. In addition, the decomposition of an IPNFG is investigated. Finally, for an IPNFG with several feasible sets, an algorithm is proposed to find the one which makes the corresponding IPNFG closest to a potential game. (c) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：862 / 877
页数：16
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