Robust mean field games with application to production of an exhaustible resource

Dario Bauso, Tembine Hamidou, Tamer Başar

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    In this paper, we study mean field games under uncertainty. We consider a population of players with individual states driven by a standard Brownian motion and a disturbance term. The contribution is three-fold: First, we establish a mean field system for such robust games. Second, we apply the methodology to an exhaustible resource production. Third, we show that the dimension of the mean field system can be significantly reduced by considering a functional of the first moment of the mean field process.

    Original languageEnglish (US)
    Title of host publicationROCOND'12 - 7th IFAC Symposium on Robust Control Design
    Pages454-459
    Number of pages6
    Volume7
    EditionPART 1
    DOIs
    StatePublished - Sep 17 2012
    Event7th IFAC Symposium on Robust Control Design, ROCOND'12 - Aalborg, Denmark
    Duration: Jun 20 2012Jun 22 2012

    Other

    Other7th IFAC Symposium on Robust Control Design, ROCOND'12
    CountryDenmark
    CityAalborg
    Period6/20/126/22/12

    Fingerprint

    Brownian movement
    Uncertainty

    ASJC Scopus subject areas

    • Control and Systems Engineering

    Cite this

    Bauso, D., Hamidou, T., & Başar, T. (2012). Robust mean field games with application to production of an exhaustible resource. In ROCOND'12 - 7th IFAC Symposium on Robust Control Design (PART 1 ed., Vol. 7, pp. 454-459) https://doi.org/10.3182/20120620-3-DK-2025.00135

    Robust mean field games with application to production of an exhaustible resource. / Bauso, Dario; Hamidou, Tembine; Başar, Tamer.

    ROCOND'12 - 7th IFAC Symposium on Robust Control Design. Vol. 7 PART 1. ed. 2012. p. 454-459.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Bauso, D, Hamidou, T & Başar, T 2012, Robust mean field games with application to production of an exhaustible resource. in ROCOND'12 - 7th IFAC Symposium on Robust Control Design. PART 1 edn, vol. 7, pp. 454-459, 7th IFAC Symposium on Robust Control Design, ROCOND'12, Aalborg, Denmark, 6/20/12. https://doi.org/10.3182/20120620-3-DK-2025.00135
    Bauso D, Hamidou T, Başar T. Robust mean field games with application to production of an exhaustible resource. In ROCOND'12 - 7th IFAC Symposium on Robust Control Design. PART 1 ed. Vol. 7. 2012. p. 454-459 https://doi.org/10.3182/20120620-3-DK-2025.00135
    Bauso, Dario ; Hamidou, Tembine ; Başar, Tamer. / Robust mean field games with application to production of an exhaustible resource. ROCOND'12 - 7th IFAC Symposium on Robust Control Design. Vol. 7 PART 1. ed. 2012. pp. 454-459
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