8 papers
Existence and uniqueness results for a mean-field game of optimal investment
Alessandro Calvia, Salvatore Federico, Giorgio Ferrari +1
We establish the existence and uniqueness of the equilibrium for a stochastic mean-field game of optimal investment. The analysis covers both finite and infinite time horizons, and…
Network-Based Optimal Control of Pollution Growth
Fausto Gozzi, Marta Leocata, Giulia Pucci
This paper studies a model for the optimal control (by a centralized economic agent which we call the planner) of pollution diffusion over time and space. The controls are the inve…
Optimal policies for environmental assets under spatial heterogeneity and global awareness
Emmanuelle Augeraud-Véron, Daria Ghilli, Fausto Gozzi +1
The aim of this paper is to formulate and study a stochastic model for the management of environmental assets in a geographical context where in each place the local authorities ta…
Optimal Control in Infinite Dimensional Spaces and Economic Modeling: State of the Art and Perspectives
Giorgio Fabbri, Silvia Faggian, Salvatore Federico +1
This survey collects, within a unified framework, various results (primarily by the authors themselves) on the use of Deterministic Infinite-Dimensional Optimal Control Theory to a…
On Mean Field Games in Infinite Dimension
Salvatore Federico, Fausto Gozzi, Andrzej ÅwiÄch
We study a Mean Field Games (MFG) system in a real, separable infinite dimensional Hilbert space. The system consists of a second order parabolic type equation, called Hamilton-Jac…
High risk aversion Merton's problem without transversality conditions
Enrico Biffis, Cristina Di Girolami, Salvatore Federico +1
This paper revisits the classical Merton portfolio choice problem over infinite horizon for high risk aversion, addressing technical challenges related to establishing the existenc…