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DTSTART:20210314T070000
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DTSTART;TZID=America/New_York:20210414T150000
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SUMMARY:Alessio Porretta\, UniversitÃ di Roma Tor Vergata\, Long time behavior in mean field game systems
DESCRIPTION:Mean field game PDE systems were introduced by J-M. Lasry and P.-L. Lions to describe Nash equilibria in multi-agents dynamic optimization. In the simplest model\, those are forward-backward systems coupling Hamilton-Jacobi with Fokker-Planck equations. In this talk I will discuss the long time behavior of second order systems in the periodic case under suitable stability conditions. I will go through the main features that appear in the study of the long time limit: the ergodic behavior\, the effects of the forward-backward structure\, the exponential turnpike property of the underlying control problem and the link with the vanishing discount limit in infinite horizon problems. \nZoom meeting: Link â€“ pass: 1234
URL:https://math.sciences.ncsu.edu/event/marta-lewicka-university-of-pittsburgh-2021-04-14/
LOCATION:Zoom
CATEGORIES:Differential Equations Seminar,Nonlinear Analysis Seminar
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