On potential equations of finite symmetric games

In this paper, potential equations of finite symmetric games are proposed to verify whether a symmetric game is potential or not. Some simpler verification conditions allowing a finite symmetric game to be a potential game are presented, along with a minimum number of verification equations. The obt...

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Bibliographic Details
Published in:Asian journal of control 2024-09, Vol.26 (5), p.2367-2376
Main Authors: Wang, Yanfei, Li, Yiliang, Feng, Jun‐e
Format: Article
Language:English
Subjects:
Games
potential equation
potential game
semi‐tensor product of matrices
symmetric game
Verification
Citations: Items that this one cites
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Summary:In this paper, potential equations of finite symmetric games are proposed to verify whether a symmetric game is potential or not. Some simpler verification conditions allowing a finite symmetric game to be a potential game are presented, along with a minimum number of verification equations. The obtained verification method is extended to other types of symmetric games, such as weighted symmetric games and skew‐symmetric games. Finally, two illustrative examples are given to demonstrate the effectiveness of the theoretical results.
ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.3336