Aggregation Method to Strategy Consensus of Large-Size Networked Evolutionary Matrix Games

• 成果类型: Article
• 署名作者: Li, Haitao; Wang, Shuling; Li, Wenrong
• 署名单位: Shandong Normal University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3340558
• 发表日期: 2024
• 页码: 3975-3981
• 关键词: games; statistics; sociology; game theory; SYMBOLS; Surveys; Social networking (online); aggregation; large-size network; networked evolutionary matrix game (NEMG); strategy consensus

摘要

The study of large-size networked evolutionary matrix games (NEMGs) with general network structure is a challenging topic due to the inherent complexity of networks. This note analyzes the strategy consensus of large-size NEMGs. The considered large-size NEMG is partitioned into several small-size control subgames via aggregation method. Then, the strategy consensus analysis of large-size NEMGs is converted into the strategy synthesis of small-size control subgames. Based on the strategy profile reachability of each control subgame and the matchable condition between control subgames, a feasible necessary and sufficient condition is presented to verify the strategy consensus of large-size NEMGs.