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

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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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