| Autor: |
Lei Wang, Xinyun Liu, Ting Li, Jiandong Zhu |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
|
| Zdroj: |
Mathematical Modelling and Control, Vol 2, Iss 4, Pp 257-267 (2022) |
| Druh dokumentu: |
article |
| ISSN: |
2767-8946 |
| DOI: |
10.3934/mmc.2022024?viewType=HTML |
| Popis: |
In this paper, skew-symmetric games and a symmetric-based decomposition of finite games are investigated. First, necessary and sufficient conditions for testing skew-symmetric games are obtained by the semi-tensor product method based on adjacent transpositions. By using the obtained conditions for skew-symmetric games, a basis of the skew-symmetric game subspace is constructed. Then, the discriminant equations for a skew-symmetric game with the minimum number are derived. Furthermore, based on the basis of the skew-symmetric game subspace and that of the symmetric game subspace, a basis of the asymmetric game subspace is constructed, which completely solves the problem of symmetric-based decomposition of finite games. Finally, an illustrative example is provided to validate the obtained theoretical results. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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