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Bandits in auctions (& more)

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Authors : Perchet, Vianney (Author of the conference)
CIRM (Publisher )

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Abstract : In this talk, I will introduce the classical theory of multi-armed bandits, a field at the junction of statistics, optimization, game theory and machine learning, discuss the possible applications, and highlights the new perspectives and open questions that they propose We consider competitive capacity investment for a duopoly of two distinct producers. The producers are exposed to stochastically fluctuating costs and interact through aggregate supply. Capacity expansion is irreversible and modeled in terms of timing strategies characterized through threshold rules. Because the impact of changing costs on the producers is asymmetric, we are led to a nonzero-sum timing game describing the transitions among the discrete investment stages. Working in a continuous-time diffusion framework, we characterize and analyze the resulting Nash equilibrium and game values. Our analysis quantifies the dynamic competition effects and yields insight into dynamic preemption and over-investment in a general asymmetric setting. A case-study considering the impact of fluctuating emission costs on power producers investing in nuclear and coal-fired plants is also presented.

MSC Codes :
62L05 - Sequential statistical designs
68T05 - Learning and adaptive systems
91A80 - Applications of game theory
91B26 - Market models (auctions, bargaining, bidding, selling, etc.)
91A26 - Rationality, learning (game theory)

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

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 01/08/17
    Conference Date : 20/07/17
    Subseries : Research School
    arXiv category : Computer Science and Game Theory
    Mathematical Area(s) : Computer Science ; Probability & Statistics
    Format : MP4 (.mp4) - HD
    Video Time : 01:03:25
    Targeted Audience : Researchers ; Graduate Students
    Download : https://videos.cirm-math.fr/2017-07-20_Perchet.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.19200503
Cite this video as: Perchet, Vianney (2017). Bandits in auctions (& more). CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19200503
URI : http://dx.doi.org/10.24350/CIRM.V.19200503

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