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Related papers: On Fairness of Systemic Risk Measures

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We establish dual representations for systemic risk measures based on acceptance sets in a general setting. We deal with systemic risk measures of both "first allocate, then aggregate" and "first aggregate, then allocate" type. In both…

Mathematical Finance · Quantitative Finance 2019-10-25 Maria Arduca , Pablo Koch-Medina , Cosimo Munari

The paper provides a framework for the assessment and optimization of the total risk of complex distributed systems. The framework takes into account the risk of each agent, which may arise from heterogeneous sources, as well as the risk…

Optimization and Control · Mathematics 2025-09-09 Aray Almen , Darinka Dentcheva

The financial crisis has dramatically demonstrated that the traditional approach to apply univariate monetary risk measures to single institutions does not capture sufficiently the perilous systemic risk that is generated by the…

Mathematical Finance · Quantitative Finance 2015-04-27 Francesca Biagini , Jean-Pierre Fouque , Marco Frittelli , Thilo Meyer-Brandis

The aim of this paper is to study a new methodological framework for systemic risk measures by applying deep learning method as a tool to compute the optimal strategy of capital allocations. Under this new framework, systemic risk measures…

Mathematical Finance · Quantitative Finance 2022-07-05 Yichen Feng , Ming Min , Jean-Pierre Fouque

Systemic risk refers to the risk that the financial system is susceptible to failures due to the characteristics of the system itself. The tremendous cost of systemic risk requires the design and implementation of tools for the efficient…

Risk Management · Quantitative Finance 2021-04-06 Zachary Feinstein , Birgit Rudloff , Stefan Weber

Systemic risk arises as a multi-layer network phenomenon. Layers represent direct financial exposures of various types, including interbank liabilities, derivative- or foreign exchange exposures. Another network layer of systemic risk…

Risk Management · Quantitative Finance 2018-03-13 Anton Pichler , Sebastian Poledna , Stefan Thurner

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 theoretical aspects, with a particular focus on the…

Machine Learning · Computer Science 2023-06-16 Alessandro Doldi , Yichen Feng , Jean-Pierre Fouque , Marco Frittelli

In this paper, we deal with risk evaluation and risk-averse optimization of complex distributed systems with general risk functionals. We postulate a novel set of axioms for the functionals evaluating the total risk of the system. We derive…

Optimization and Control · Mathematics 2023-11-20 Aray Almen , Darinka Dentcheva

We develop a new classification framework based on the theory of coherent risk measures and systemic risk. The proposed approach is suitable for multi-class problems when the data is noisy, scarce (relative to the dimension of the problem),…

Machine Learning · Statistics 2026-05-29 Darinka Dentcheva , Xiangyu Tian

The financial crisis showed the importance of measuring, allocating and regulating systemic risk. Recently, the systemic risk measures that can be decomposed into an aggregation function and a scalar measure of risk, received a lot of…

Risk Management · Quantitative Finance 2020-07-14 Çağın Ararat , Birgit Rudloff

In this paper we develop a novel methodology for estimation of risk capital allocation. The methodology is rooted in the theory of risk measures. We work within a general, but tractable class of law-invariant coherent risk measures, with a…

Risk Management · Quantitative Finance 2019-11-25 Tomasz R. Bielecki , Igor Cialenco , Marcin Pitera , Thorsten Schmidt

A classical result in risk measure theory states that every coherent risk measure has a dual representation as the supremum of certain expected value over a risk envelope. We study this topic in more detail. The related issues include: 1.…

Optimization and Control · Mathematics 2018-02-28 Marcus Ang , Jie Sun , Qiang Yao

The ongoing concern about systemic risk since the outburst of the global financial crisis has highlighted the need for risk measures at the level of sets of interconnected financial components, such as portfolios, institutions or members of…

Risk Management · Quantitative Finance 2017-03-24 Yannick Armenti , Stephane Crepey , Samuel Drapeau , Antonis Papapantoleon

Systemic risk measures were introduced to capture the global risk and the corresponding contagion effects that is generated by an interconnected system of financial institutions. To this purpose, two approaches were suggested. In the first…

Optimization and Control · Mathematics 2024-02-23 Sarah Kaakai , Anis Matoussi , Achraf Tamtalini

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 analyze in greater detail Conditional Shortfall…

Mathematical Finance · Quantitative Finance 2021-05-12 Alessandro Doldi , Marco Frittelli

Uncertainty is prevalent in engineering design, data-driven problems, and decision making broadly. Due to inherent risk-averseness and ambiguity about assumptions, it is common to address uncertainty by formulating and solving conservative…

Optimization and Control · Mathematics 2024-04-05 Johannes O. Royset

Risk measures for multivariate financial positions are studied in a utility-based framework. Under a certain incomplete preference relation, shortfall and divergence risk measures are defined as the optimal values of specific set…

Risk Management · Quantitative Finance 2017-09-12 Çağın Ararat , Andreas H. Hamel , Birgit Rudloff

We define and develop an approach for risk budgeting allocation - a risk diversification portfolio strategy - where risk is measured using a dynamic time-consistent risk measure. For this, we introduce a notion of dynamic risk contributions…

Mathematical Finance · Quantitative Finance 2024-11-01 Silvana M. Pesenti , Sebastian Jaimungal , Yuri F. Saporito , Rodrigo S. Targino

A fundamental problem in risk management is the robust aggregation of different sources of risk in a situation where little or no data are available to infer information about their dependencies. A popular approach to solving this problem…

Risk Management · Quantitative Finance 2014-10-06 Raphael Hauser , Sergey Shahverdyan , Paul Embrechts

The influence maximization paradigm has been used by researchers in various fields in order to study how information spreads in social networks. While previously the attention was mostly on efficiency, more recently fairness issues have…

Social and Information Networks · Computer Science 2021-11-10 Ruben Becker , Gianlorenzo D'Angelo , Sajjad Ghobadi , Hugo Gilbert
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