Research
Preprints :
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Robust mean-field games under entropy-based uncertainty. François Delarue et Pierre Lavigne, 2026. Article.
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Robust mean field control: stochastic maximum principle and variational mean field games. François Delarue et Pierre Lavigne, 2026. Article.
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Growth model with externalities for energetic transition via MFG with common external variable. Pierre Lavigne, Quentin Petit, Xavier Warin. 2025. Arxiv.
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Decarbonization of financial markets: a mean-field game approach. Pierre Lavigne and Peter Tankov. 2023. Arxiv.
Published articles :
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Generalized conditional gradient and learning in potential mean field games. Pierre Lavigne and Laurent Pfeiffer. Applied Mathematics & Optimization, 2023. Paper, Arxiv.
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Discrete potential mean field games: duality and numerical resolution. J. Frédéric Bonnans, Pierre Lavigne and Laurent Pfeiffer. Mathematical Programming, 2023. Paper, HAL with Code.
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Discrete-time mean field games with risk-averse agents. J. Frédéric Bonnans, Pierre Lavigne, Laurent Pfeiffer. ESAIM: Control, Optimisation and Calculus of Variations, 2021. Paper, Arxiv.