Imperial College London

ProfessorPierreDegond

Faculty of Natural SciencesDepartment of Mathematics

Chair in Applied Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 1474p.degond Website CV

 
 
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Location

 

6M38Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Degond:10.4310/CMS.2017.v15.n5.a9,
author = {Degond, PAA and Herty, M and Liu, JG},
doi = {10.4310/CMS.2017.v15.n5.a9},
journal = {Communications in Mathematical Sciences},
pages = {1403--1422},
title = {Meanfield games and model predictive control},
url = {http://dx.doi.org/10.4310/CMS.2017.v15.n5.a9},
volume = {15},
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - Mean-Field Games are games with a continuum of players that incorporate the time-dimension through a control-theoretic approach. Recently, simpler approaches relying on the BestReply Strategy have been proposed. They assume that the agents navigate their strategies towardstheir goal by taking the direction of steepest descent of their cost function (i.e. the opposite of theutility function). In this paper, we explore the link between Mean-Field Games and the Best ReplyStrategy approach. This is done by introducing a Model Predictive Control framework, which consistsof setting the Mean-Field Game over a short time interval which recedes as time moves on. We showthat the Model Predictive Control offers a compromise between a possibly unrealistic Mean-Field Gameapproach and the sub-optimal Best Reply Strategy.
AU - Degond,PAA
AU - Herty,M
AU - Liu,JG
DO - 10.4310/CMS.2017.v15.n5.a9
EP - 1422
SN - 1945-0796
SP - 1403
TI - Meanfield games and model predictive control
T2 - Communications in Mathematical Sciences
UR - http://dx.doi.org/10.4310/CMS.2017.v15.n5.a9
UR - http://hdl.handle.net/10044/1/44581
VL - 15
ER -