On Potential Equations of Finite Games

Xinyun Liu; Jiandong Zhu

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arXiv · 1504.07342

On Potential Equations of Finite Games

Xinyun Liu·Jiandong Zhu

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Abstract

In this paper, some new criteria for detecting whether a finite game is potential are proposed by solving potential equations. The verification equations with the minimal number for checking a potential game are obtained for the first time. Some connections between the potential equations and the existing characterizations of potential games are established. It is revealed that a finite game is potential if and only if its every bi-matrix sub-game is potential.

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BibTeX RIS

Xinyun Liu, Jiandong Zhu. 2015-04-28. On Potential Equations of Finite Games. https://arxiv.org/abs/1504.07342

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