Nonlocal Bertrand and Cournot mean field games with general nonlinear demand schedule

DOI10.1016/j.matpur.2021.02.002zbMath1459.35358arXiv2002.11055OpenAlexW3129569516MaRDI QIDQ2656189

P. Jameson Graber, Vincenzo Ignazio, Ariel Neufeld

Publication date: 10 March 2021

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.11055

zbMATH Keywords

Cournot competitionBertrand competitioneconomic modelsextended mean field gamesmean field games of controls

Mathematics Subject Classification ID

Special types of economic markets (including Cournot, Bertrand) (91B54) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Classical solutions to PDEs (35A09) Mean field games (aspects of game theory) (91A16)

Related Items (8)

On fractional and nonlocal parabolic mean field games in the whole space ⋮ Mean field games with monotonous interactions through the law of states and controls of the agents ⋮ Parameter sensitivity analysis for mean field games of production ⋮ Discrete potential mean field games: duality and numerical resolution ⋮ On monotonicity conditions for mean field games ⋮ Weak solutions for potential mean field games of controls ⋮ Discrete-time mean field games with risk-averse agents ⋮ Master equation for Cournot mean field games of control with absorption

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