On Matrix Method of Symmetric Games

Lei Wang; Xinyun Liu; Ting Li; Jiandong Zhu

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arXiv · 2202.09700

On Matrix Method of Symmetric Games

Lei Wang·Xinyun Liu·Ting Li·Jiandong Zhu

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Abstract

This paper provides a new version of matrix semi-tensor product method based on adjacent transpositions to test symmetric games. The advantage of using adjacent transpositions lies in the great simplification of analysis of symmetric games. By using the new method, new necessary and sufficient conditions for symmetric games are proposed, and a group of bases of a symmetric game space can be easily calculated. Moreover, the testing equations with the minimum number can be concretely determined. Finally, two examples are displayed to show the effectiveness of the proposed method.

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BibTeX RIS

Lei Wang, Xinyun Liu, Ting Li, Jiandong Zhu. 2022-02-20. On Matrix Method of Symmetric Games. https://arxiv.org/abs/2202.09700

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