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SUMMARY:Alessio Porretta (Roma Tor Vergata)
DTSTART:20201016T130000Z
DTEND:20201016T140000Z
DTSTAMP:20260423T041407Z
UID:RJWAPDE/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/RJWAPDE/16/"
 >Mean field games: a bridge between Hamilton-Jacobi and transport-diffusio
 n equations</a>\nby Alessio Porretta (Roma Tor Vergata) as part of Rio de 
 Janeiro webinar on analysis and partial differential equations\n\n\nAbstra
 ct\nMean field game theory was developed since 2006 by J.‑M. Lasry and P
 .‑L. Lions in order to adapt the concept of Nash equilibria to different
 ial games with infinitely many players. In this context\, the value functi
 on of any small player depends on the distribution law of the dynamical st
 ate of the system. This model leads to systems of PDEs coupling Hamilton
 –Jacobi with Fokker–Planck (or continuity) equations. In this talk I w
 ill describe some features of mean field game systems and their connection
  with optimal control and optimal transport\, pointing out the role played
  by weak solutions\, renormalized formulations\, convex analysis and adjoi
 nt methods.\n
LOCATION:https://researchseminars.org/talk/RJWAPDE/16/
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