Seminario di Finanza Quantitativa e di Probabilità
Martedì 17 dicembre 2019
ore 11:30
Scuola Normale Superiore
Pisa
Aula Bianchi Scienze
Luciano Campi
(LSE)
Terrà un seminario dal titolo:
“Correlated equilibria and mean field games”
Abstract:
Mean field games are limit models for symmetric N-player games, as N tends to infinity, where the pre-limit models are solved in terms of Nash equilibria. A generalization of the notion of Nash equilibrium, due to Robert Aumann (1973, 1987), is that of a correlated equilibrium. Here, we discuss, in a simple non-static setting, the mean field game limit for correlated equilibria. We give a definition of correlated mean field game solution, prove that it arises as limit of N-player correlated equilibria in restricted (”open-loop”) Markov feedback strategies, and show how to construct approximate N-player equilibria starting from a correlated mean field game solution. We also compare our definition to the one by Lacker (2018) of weak solutions for mean field games without a common noise.
(Joint work with Markus Fischer, Padova University)
Tutti gli interessati sono invitati a partecipare.
Classe di Scienze
Valeria Giuliani
Scuola Normale Superiore
Servizio alla Didattica e Allievi
tel. 050 509260
Piazza dei Cavalieri, 7
56126 Pisa
E-mail:
valeria.giuliani@sns.itE-mail:
classi@sns.it