Uniqueness of Nash equilibrium in continuous two-player weighted potential games

DOI10.1016/j.jmaa.2017.11.031zbMath1415.91013OpenAlexW2770455315MaRDI QIDQ1684826

Jacqueline Morgan, Maria Carmela Ceparano, Francesco Caruso

Publication date: 12 December 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.11.031

zbMATH Keywords

uniquenessfixed pointNash equilibriumnoncooperative gameweighted potential game

Mathematics Subject Classification ID

Noncooperative games (91A10) 2-person games (91A05) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05)

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Cites Work

• Correlated equilibrium and potential games
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• Nash equilibrium uniqueness in nice games with isotone best replies
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• Non-cooperative games
• Methode directe de recherche du point de selle d'une fonctlonnelle convexe-concave et application aux problémes variationnels elliptiques avec deux controles antagonistes
• Game Theory
• Existence and Uniqueness of Equilibrium Points for Concave N-Person Games
• Convex analysis and monotone operator theory in Hilbert spaces
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