TY - GEN
T1 - Robust mean field games with application to production of an exhaustible resource
AU - Bauso, Dario
AU - Tembine, Hamidou
AU - Başar, Tamer
N1 - Funding Information:
★ This work was supported in part by the National Technological Agency, and in part by the U.S. Air Force Office of Scientific Research (AFOSR) under MURI Grant FA9550-10-1-0573.
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84866111100&partnerID=8YFLogxK
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U2 - 10.3182/20120620-3-DK-2025.00135
DO - 10.3182/20120620-3-DK-2025.00135
M3 - Conference contribution
AN - SCOPUS:84866111100
SN - 9783902823038
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
SP - 454
EP - 459
BT - ROCOND'12 - 7th IFAC Symposium on Robust Control Design
PB - IFAC Secretariat
T2 - 7th IFAC Symposium on Robust Control Design, ROCOND'12
Y2 - 20 June 2012 through 22 June 2012
ER -