Cattedra di accoglienza del Collège de France all'Università di Trento
Ore 16:00
Luogo: Dipartimento di Matematica, via Sommarive, 14 - Povo, Aula A101
- Prof. Pierre-Louis Lions, matematico - Collège de France
Titolo della Conferenza:
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"Mean field games"
Le lezioni si svolgeranno in lingua inglese.
Dopo l'archeologo John Scheid, il fisico teorico Antoine Georges, il medievalista Michel Zink, lo studioso in neuroscienze cognitive Stanislas Dehaene, l’esperto in neurobiologia Alain Prochiantz, l’italianista e teorico della letteratura Carlo Ossola, lo storico e sociologo Pierre Rosanvallon, l’archeologo Jean-Pierre Brun e il chimico Clément Sanchez, un altro importante studioso del Collège de France, Pierre-Louis Lions, matematico, viene accolto all'Università di Trento per tenere delle lezioni a studenti, dottorandi e docenti dell'Ateneo nell'ambito della cattedra di accoglienza che lega le due istituzioni.
Abstract:
This talk will be a general presentation of Mean Field Games (MFG in short), a new class of mathematical models and problems introduced and studied in collaboration with Jean-Michel Lasry. Roughly speaking, MFG are mathematical models that aim to describe the behavior of a very large number of “agents” who optimize their decisions while taking into account and interacting with the other agents. The derivation of MFG, which can be justified rigorously from Nash equilibria for N players games, letting N go to infinity, leads to new nonlinear systems involving ordinary differential equations or partial differential equations.
Many classical systems are particular cases of MFG like, for example, compressible Euler equations, Hartree equations, porous media equations, semilinear elliptic equations, Hamilton-Jacobi-Bellman equations, Vlasov-Boltzmann models... In this talk we shall explain in a very simple example how MFG models are derived and present some overview of the theory, its connections with many other fields and its applications.
Responsabile scientifico:
Prof. Tubaro Luciano
Dipartimento di Matematica
Università degli Studi di Trento
via Sommarive, 14 - Povo
Tel. +39 0461 281518