Zobrazeno 1 - 10
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pro vyhledávání: '"Gozzi P"'
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-Jacobi-Bellman (HJB) equation in the paper, coupled with a nonlinear Fokk
Externí odkaz:
http://arxiv.org/abs/2411.14604
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 investments in production and depollution and the goal is to maximize an i
Externí odkaz:
http://arxiv.org/abs/2406.15338
We investigate the evolution of Internet speed and its implications for access to key digital services, as well as the resilience of the network during crises, focusing on six major Brazilian cities: Belo Horizonte, Bras\'ilia, Fortaleza, Manaus, Rio
Externí odkaz:
http://arxiv.org/abs/2406.01113
Autor:
Gozzi, Riccardo, Bournez, Olivier
In a recent article, we introduced and studied a precise class of dynamical systems called solvable systems. These systems present a dynamic ruled by discontinuous ordinary differential equations with solvable right-hand terms and unique evolution. T
Externí odkaz:
http://arxiv.org/abs/2405.19304
Autor:
Casaburi, Pasquale, Dall'Amico, Lorenzo, Gozzi, Nicolò, Kalimeri, Kyriaki, Sapienza, Anna, Schifanella, Rossano, Di Matteo, T., Ferres, Leo, Mazzoli, Mattia
The COVID19 pandemic highlighted the importance of non-traditional data sources, such as mobile phone data, to inform effective public health interventions and monitor adherence to such measures. Previous studies showed how socioeconomic characterist
Externí odkaz:
http://arxiv.org/abs/2405.19141
Autor:
Bournez, Olivier, Gozzi, Riccardo
We study initial value problems having dynamics ruled by discontinuous ordinary differential equations with the property of possessing a unique solution. We identify a precise class of such systems that we call solvable intitial value problems and we
Externí odkaz:
http://arxiv.org/abs/2405.00165
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 the mean-field interaction of the representative company with a mass
Externí odkaz:
http://arxiv.org/abs/2404.02871
This paper represents the first attempt to develop a theory for linear-quadratic mean field games in possibly infinite dimensional Hilbert spaces. As a starting point, we study the case, considered in most finite dimensional contributions on the topi
Externí odkaz:
http://arxiv.org/abs/2402.14935
We consider a class of optimal advertising problems under uncertainty for the introduction of a new product into the market, on the line of the seminal papers of Vidale and Wolfe, 1957, and Nerlove and Arrow, 1962. The main features of our model are
Externí odkaz:
http://arxiv.org/abs/2402.01015
Recent theoretical and experimental work in neuroscience has focused on the representational and dynamical character of neural manifolds --subspaces in neural activity space wherein many neurons coactivate. Importantly, neural populations studied und
Externí odkaz:
http://arxiv.org/abs/2310.20601