Journal
2020 CHINESE AUTOMATION CONGRESS (CAC 2020)
Volume -, Issue -, Pages 4764-4769Publisher
IEEE
DOI: 10.1109/CAC51589.2020.9326640
Keywords
Weighted potential game; semi-tensor product; weighted potential equation
Categories
Funding
- National Natural Science Foundation [61751303, 71731004]
- National Science Fund for Distinguished Young Scholars of China [61425019]
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This work addresses the finite weighted potential game, where we design a method to verify whether the finite weighted game is potential or not. Firstly, we analyze the inherent relation between a finite potential game and weighted potential game. Secondly, for a finite weighted game, we use a function and present some properties of the semi-tensor product. Finally, we establish a weighted potential equation, where the weighted game is potential game if and only if the equation has a solution. Moreover, we give some examples to illustrate the theoretical results.
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