Nash-MFG equilibrium in a SIR model with time dependent newborn vaccination
Date
2018Link to item file
https://hal.archives-ouvertes.fr/hal-01389584Dewey
Sciences connexesSujet
Nash equilibrium; SIR model; vaccination eficacy; individual vaccination; vaccination games; vaccination; Mean Field GamesJournal issue
Ricerche di MatematicaVolume
67Number
1Publication date
2018Article pages
227-246Publisher
SpringerCollections
Metadata
Show full item recordAuthor
Hubert, Emma
Turinici, Gabriel
Type
Abstract (EN)
We study the newborn, non compulsory, vaccination in a SIR model with vital dynamics. The evolution of each individual is modeled as a Markov chain.His/Her vaccination decision optimizes a criterion depending on the time-dependent aggregate (societal) vaccination rate and the future epidemic dynamics. We prove the existence of a Nash - Mean Field Games equilibrium among all individuals in the population. Then we propose a novel numerical approach to find the equilibrium and test it numerically.Related items
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