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 …
be extended to a conditional setting. After providing a general dual representation result, we …
Multivariate systemic risk measures and computation by deep learning algorithms
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 …
shortfall risk measures defined via multivariate utility functions. We discuss the key related …
Are Shortfall Systemic Risk Measures One Dimensional?
Shortfall systemic (multivariate) risk measures defined through an-dimensional multivariate
utility function and random allocations can be represented as classical (1-dimensional) …
utility function and random allocations can be represented as classical (1-dimensional) …
Optimal multivariate financial decision making
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 …
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 …
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 …
of Systemic Optimal Risk Transfer Equilibrium (SORTE), and we progressively generalize it …
[PDF][PDF] Multivariate Systemic Risk Measures and Deep Learning Algorithms
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 …
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 …
conjugates the classical Bühlmann's notion of an Equilibrium Risk Exchange with a Capital …