6533b7d4fe1ef96bd12631dc
RESEARCH PRODUCT
Robust Mean Field Games with Application to Production of an Exhaustible Resource
Hamidou TembineDario BausoTamer Basarsubject
0209 industrial biotechnologyeducation.field_of_study010102 general mathematicsPopulationProcess (computing)02 engineering and technologyGeneral Medicinecontrol optimization game theory01 natural sciencesTerm (time)[INFO.INFO-NI]Computer Science [cs]/Networking and Internet Architecture [cs.NI]symbols.namesake020901 industrial engineering & automationResource (project management)Dimension (vector space)Mean field theoryWiener processsymbolsProduction (economics)Settore MAT/09 - Ricerca Operativa0101 mathematicseducationMathematical economicsMathematicsdescription
International audience; 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-06-20 | IFAC Proceedings Volumes |