no code implementations • 20 Jun 2023 • Francesca Biagini, Alessandro Doldi, Jean-Pierre Fouque, Marco Frittelli, Thilo Meyer-Brandis
We introduce the notions of Collective Arbitrage and of Collective Super-replication in a setting where agents are investing in their markets and are allowed to cooperate through exchanges.
no code implementations • 19 Jun 2023 • Alessandro Doldi, Marco Frittelli, Emanuela Rosazza Gianin
Shortfall systemic (multivariate) risk measures $\rho$ defined through an $N$-dimensional multivariate utility function $U$ and random allocations can be represented as classical (one dimensional) shortfall risk measures associated to an explicitly determined $1$-dimensional function constructed from $U$.
no code implementations • 2 Feb 2023 • Alessandro Doldi, Yichen Feng, Jean-Pierre Fouque, Marco Frittelli
In this work we propose deep learning-based algorithms for the computation of systemic shortfall risk measures defined via multivariate utility functions.
no code implementations • 4 Mar 2021 • Matteo Burzoni, Marco Frittelli, Federico Zorzi
In this note we consider a system of financial institutions and study systemic risk measures in the presence of a financial market and in a robust setting, namely, where no reference probability is assigned.
no code implementations • 22 Oct 2020 • Alessandro Doldi, Marco Frittelli
We investigate to which extent the relevant features of (static) Systemic Risk Measures can be extended to a conditional setting.
no code implementations • 26 May 2020 • Alessandro Doldi, Marco Frittelli
The objective of this paper is to develop a duality between a novel Entropy Martingale Optimal Transport problem (A) and an associated optimization problem (B).
no code implementations • 27 Dec 2019 • Alessandro Doldi, Marco Frittelli
We prove existence, uniqueness, and the Nash Equilibrium property of the newly defined Multivariate Systemic Optimal Risk Transfer Equilibrium.