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DTSTAMP:20260622T082531Z
DESCRIPTION:\n	Dynamic Games and Applications Seminar\n\n	Speaker: Rita Ferre
 ira – King Abdullah University of Science and Technology\, Saudi Arabia \n
 \n	\n\n	In this talk\, we address the study of mean-field games (MFGs) using
  monotonicity techniques. MFGs model the limit of differential games with 
 a large population as the number of agents tends to infinity. In these mod
 els\, each agent is rational and optimizes a cost functional\, and often c
 omprise a system of two equations\, a Hamilton–Jacobi equation and a Fokke
 r–Planck equation\, which can be associated with a monotone operator. This
  structure is key to establish the uniqueness of solutions\, as used by La
 sry and Lions. A main difficulty in the MFG theory is to establish the exi
 stence of solutions. While Hamilton–Jacobi and Fokker–Planck equations are
  extremely well understood\, the coupling between these two equations pres
 ents substantial difficulties. Our main purpose is to discuss how monotone
  operators ideas enable a unified approach to address existence of weak so
 lutions to a wide class of MFGs\, including stationary problems with perio
 dic or Dirichlet boundary conditions\, time-dependent problems\, and plann
 ing problems with congestion.\n\n
DTSTART:20221110T160000Z
DTEND:20221110T170000Z
LOCATION:CA\, ZOOM
SUMMARY:Mean-Field Games Through Monotone Methods
URL:/cim/channels/event/mean-field-games-through-monot
 one-methods-351827
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