6533b822fe1ef96bd127d677

RESEARCH PRODUCT

Mean Field Linear Quadratic Games with Set Up Costs

Dario BausoRaffaele Pesenti

subject

TheoryofComputation_MISCELLANEOUSStatistics and ProbabilityComputer Science::Computer Science and Game TheoryEconomics and EconometricsMathematical optimizationSequential gamedifferential games game theory control and optimizationJoint-replenishmentOutcome (game theory)symbols.namesakeMean field gamesGame theoryMathematicsMean field games; Linear quadratic differential games; Joint-replenishment[INFO.INFO-NI] Computer Science [cs]/Networking and Internet Architecture [cs.NI]Applied MathematicsNormal-form gameComputingMilieux_PERSONALCOMPUTINGoperational researchTheoryofComputation_GENERALScreening gameComputer Graphics and Computer-Aided DesignComputer Science ApplicationsComputational MathematicsComputational Theory and MathematicsNash equilibriumBest responseRepeated gamesymbolsLinear quadratic differential gamesSettore MAT/09 - Ricerca OperativaoptimizationGame theoryMathematical economics

description

This paper studies linear quadratic games with set up costs monotonic on the number of active players, namely, players whose action is non-null. Such games arise naturally in joint replenishment inventory systems. Building upon a preliminary analysis of the properties of the best response strategies and Nash equilibria for the given game, the main contribution is the study of the same game under large population. We also analyze the influence of an additional disturbance in the spirit of the literature on H∞ control. Numerical illustrations are provided. © 2012 Springer Science+Business Media New York.

yearjournalcountryeditionlanguage
2013-03-01Dynamic Games and Applications
https://doi.org/10.1007/s13235-012-0069-0