Dear colleagues,

We are happy to announce the following hybrid - that is, in person with online streaming - talk:

Speaker: Daria Ghilli (Università di Pavia)

Title: A mean field game model in economics with spatial interactions in the human capital

Abstract: We study an economic model where each agent chooses its position in space and its level of human capital maximizing its own utility and interacts with the other agents through the human capital. The main peculiarity of the model we consider consists in the presence of a spatial interaction term in the dynamic of the human capital, i.e. spatial spillovers on the accumulation of human capital and in the utility, i.e. spatial spillovers on the consumption. We adopt a Mean Field Game (MFG) approach and study a system of two partial differential equations, the MFG system, which arises as the continuum macroscopic description of the discrete multi-agents system emerging, heuristically, as the limit as the number of agents tends to infinity. The MFG system we study is expected to approximate Nash equilibria for the discrete multi-agents system when the number of players tends to infinity. This is a joint work with C. Ricci (Pisa) and G. Zanco (LUISS).

Date and time: Monday April 11, 14:00-15:00 (Rome time zone)

Place: Aula Beltrami, dipartimento di matematica dell’università di Pavia, via Ferrata 5, Pavia.

Zoom Link: https://us02web.zoom.us/j/83190110958?pwd=QW5tOC9tcGgyTDNtaUJvenIrdGNZQT09 https://us02web.zoom.us/j/83190110958?pwd=QW5tOC9tcGgyTDNtaUJvenIrdGNZQT09

ID riunione: 831 9011 0958 Passcode: 384911

This talk is part of the (PMS)^2: Pavia-Milano Seminar series on Probability and Mathematical Statistics organized jointly by the universities Milano-Bicocca, Pavia, Milano-Politecnico and Milano-Statale.

Participation is free and welcome!

Best regards The organizers (Mario Maurelli, Carlo Orrieri, Maurizia Rossi, Margherita Zanella)