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Mean field games with major and minor players

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Authors : Carmona, René (Author of the conference)
CIRM (Publisher )

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Abstract : We introduce a new strategy for the solution of Mean Field Games in the presence of major and minor players. This approach is based on a formulation of the fixed point step in spaces of controls. We use it to highlight the differences between open and closed loop problems. We illustrate the implementation of this approach for linear quadratic and finite state space games, and we provide numerical results motivated by applications in biology and cyber-security.

MSC Codes :
49K45 - Optimal stochastic control (optimality conditions)
60H10 - Stochastic ordinary differential equations
60K35 - Interacting random processes; statistical mechanics type models; percolation theory
93E20 - Optimal stochastic control

Additional resources :
http://smai.emath.fr/cemracs/cemracs17/Slides/carmona.pdf

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 26/07/17
    Conference Date : 17/07/17
    Subseries : Research School
    arXiv category : Optimization and Control ; Machine Learning ; Quantitative Finance
    Mathematical Area(s) : Control Theory & Optimization ; Probability & Statistics
    Format : MP4 (.mp4) - HD
    Video Time : 00:54:55
    Targeted Audience : Researchers ; Graduate Students
    Download : https://videos.cirm-math.fr/2017-07-17_Carmona.mp4

Information on the Event

Event Title : CEMRACS - Summer school: Numerical methods for stochastic models: control, uncertainty quantification, mean-field / CEMRACS - École d'été : Méthodes numériques pour équations stochastiques : contrôle, incertitude, champ moyen
Event Organizers : Bouchard, Bruno ; Chassagneux, Jean-François ; Delarue, François ; Gobet, Emmanuel ; Lelong, Jérôme
Dates : 17/07/17 - 25/08/17
Event Year : 2017
Event URL : http://conferences.cirm-math.fr/1556.html

Citation Data

DOI : 10.24350/CIRM.V.19198003
Cite this video as: Carmona, René (2017). Mean field games with major and minor players. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19198003
URI : http://dx.doi.org/10.24350/CIRM.V.19198003

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