6 papers
Integral equations for the optimal boundary surface of a mean-field game of capacity expansion
Tiziano De Angelis, Giulia Livieri, Maddalena Ghio
We prove that the optimal boundary surface that splits the action and inaction regions in a mean-field game of capacity expansion studied in (Campi et al.,\ Ann.\ Appl.\ Probab.,\…
-player games and mean field games of moderate interactions
Franco Flandoli, Maddalena Ghio, Giulia Livieri
We study the asymptotic organization among many optimizing individuals interacting in a suitable "moderate" way. We justify this limiting game by proving that its solution provides…
Mean-Field Games of Finite-Fuel Capacity Expansion with Singular Controls
Luciano Campi, Tiziano De Angelis, Maddalena Ghio +1
We study Nash equilibria for a sequence of symmetric -player stochastic games of finite-fuel capacity expansion with singular controls and their mean-field game (MFG) counterpar…
Kelly Betting with Quantum Payoff: a continuous variable approach
Salvatore Tirone, Maddalena Ghio, Giulia Livieri +2
The main purpose of this study is to introduce a semi-classical model describing betting scenarios in which, at variance with conventional approaches, the payoff of the gambler is…
-player games and mean-field games with smooth dependence on past absorptions
Luciano Campi, Maddalena Ghio, Giulia Livieri
Mean-field games with absorption is a class of games, that have been introduced in Campi and Fischer (2018) and that can be viewed as natural limits of symmetric stochastic differe…
Multipartite entanglement detection for hypergraph states
Maddalena Ghio, Daniele Malpetti, Matteo Rossi +2
We study the entanglement properties of quantum hypergraph states of qubits, focusing on multipartite entanglement. We compute multipartite entanglement for hypergraph states w…