Weighted potential incomplete-profile games

Weighted potential incomplete-profile games

In this paper the weighted potential incomplete-profile games are studied. First a potential equation with algebraic form is established to check whether an incomplete-profile normal form game (IPNFG) is a weighted potential game with weight w>0 or not, based on which, the potential function can...

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Veröffentlicht in:IEEE access 2020-01, Vol.8, p.1-1
Hauptverfasser: Pan, Yanan, Fu, Shihua, Zhao, Jianli
Format: Artikel
Sprache:eng
Schlagworte:
Canonical forms
Games
Harmonic analysis
Incomplete-profile games
Mathematical model
Nash equilibrium
non-strategic subspace
Optimization
semi-tensor product of matrices
Silicon
weighted potential subspace
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Zusammenfassung:In this paper the weighted potential incomplete-profile games are studied. First a potential equation with algebraic form is established to check whether an incomplete-profile normal form game (IPNFG) is a weighted potential game with weight w>0 or not, based on which, the potential function can be constructed. Then the weighted potential subspace and the non-strategic subspace and some properties of weighted potential incomplete-profile games are obtained. Finally, an example is given to illustrate our theoretical results.
ISSN:2169-3536
2169-3536
DOI:10.1109/ACCESS.2020.2986076