Conditional systemic risk measures

A Doldi, M Frittelli - SIAM Journal on Financial Mathematics, 2021 - SIAM
We investigate to which extent the relevant features of (static) Systemic Risk Measures can
be extended to a conditional setting. After providing a general dual representation result, we …

Multivariate systemic risk measures and computation by deep learning algorithms

A Doldi, Y Feng, JP Fouque, M Frittelli - Quantitative Finance, 2023 - Taylor & Francis
In this work, we propose deep learning-based algorithms for the computation of systemic
shortfall risk measures defined via multivariate utility functions. We discuss the key related …

Are Shortfall Systemic Risk Measures One Dimensional?

A Doldi, M Frittelli, ER Gianin - SIAM Journal on Financial Mathematics, 2024 - SIAM
Shortfall systemic (multivariate) risk measures defined through an-dimensional multivariate
utility function and random allocations can be represented as classical (1-dimensional) …

Optimal multivariate financial decision making

C Bernard, LDG Aquino, S Vanduffel - European Journal of Operational …, 2023 - Elsevier
Agents who pursue optimal portfolio choice by optimizing a univariate objective (eg, an
expected utility) obtain optimal payoffs that are increasing with each other (situation of no …

Real-valued systemic risk measures

A Doldi, M Frittelli - Mathematics, 2021 - mdpi.com
We describe the axiomatic approach to real-valued Systemic Risk Measures, which is a
natural counterpart to the nowadays classical univariate theory initiated by Artzner et al. in …

Equilibrium, systemic risk measures and optimal transport: A convex duality approach

A Doldi - 2021 - air.unimi.it
This Thesis focuses on two main topics. Firstly, we introduce and analyze the novel concept
of Systemic Optimal Risk Transfer Equilibrium (SORTE), and we progressively generalize it …

[PDF][PDF] Multivariate Systemic Risk Measures and Deep Learning Algorithms

A Doldi, Y Feng, JP Fouque… - arXiv preprint arXiv …, 2023 - users.mat.unimi.it
In this work we propose deep learning-based algorithms for the computation of systemic
shortfall risk measures defined via multivariate utility functions. We discuss the key related …

[PDF][PDF] Systemic Optimal Risk Transfer Equilibrium

M Frittelli, JP Fouque, T Meyer-Brandis - cirm-math.fr
We introduce the concept of a Systemic Optimal Risk Transfer Equilibrium (SORTE) that
conjugates the classical Bühlmann's notion of an Equilibrium Risk Exchange with a Capital …