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High order variational numerical schemes with application to Nash -MFG vaccination games

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Date
2018
Link to item file
https://hal.archives-ouvertes.fr/hal-01404619
Dewey
Analyse
Sujet
Variational scheme; Mean Field Games; Nash equilibrium; Vaccination games; SIR model
Journal issue
Ricerche di Matematica
Volume
67
Number
1
Publication date
2018
Article pages
247-269
Publisher
Springer
DOI
http://dx.doi.org/10.1007/s11587-018-0366-z
URI
https://basepub.dauphine.fr/handle/123456789/17303
Collections
  • CEREMADE : Publications
Metadata
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Author
Laguzet, Laetitia
60 CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Type
Article accepté pour publication ou publié
Abstract (EN)
This paper introduces high-order explicit Runge-Kutta numerical schemes in metric spaces. We show that our approach reduces to corresponding Runge-Kutta schemes if the ambient space is Hilbert. We apply these schemes to compute the Nash equilibrium in a Mean Field vaccination Game. Numerical simulations show improvement in the speed of convergence towards the Nash equilibrium; the numerical scheme has high order (two to four) in time.

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