Dear Colleagues, We would like to invite you to the following Probability seminar that will take place on June 25 at 14.30 by the zoom platform. ________________________________________________________ Speaker: Paolo Dai Pra (Università di Verona) Title: The social dilemma of stubborness vs. herding in social decisions: a mean field (game) model. 25 JUNE (Friday) - 14:30 zoom link: TBA available on the webpage https://www.math.unipd.it/~bianchi/seminari/ ) Abstract: We study a mean field game in continuous time over a finite horizon, T, where the state of each agent is binary and where players base their strategic decisions on two, possibly competing, factors: the willingness to align with the majority (herding) and the aspiration of sticking with the own type (stubbornness). While the corresponding N-player game possesses a unique Nash equilibrium, the mean field game has a variety of equilibria and phase transitions. The large N limit of the unique equilibrium of the N-player game selects one equilibrium of the mean field game; this selection appears to be highly nontrivial and will be discussed mostly on the base of simulations. -- Alessandra Bianchi Dip. di Matematica Università di Padova Via Trieste, 63 - 35121 Padova, Italy phone: +39 049 827 14 06 fax: +39 049 827 14 28 e-mail: bianchi@math.unipd.it http://www.math.unipd.it/~bianchi/