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Related papers: On Risk Evaluation and Control of Distributed Mult…

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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

Multistage risk-averse optimal control problems with nested conditional risk mappings are gaining popularity in various application domains. Risk-averse formulations interpolate between the classical expectation-based stochastic and minimax…

Optimization and Control · Mathematics 2019-03-19 Pantelis Sopasakis , Mathijs Schuurmans , Panagiotis Patrinos

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

This paper proposes RiskRank as a joint measure of cyclical and cross-sectional systemic risk. RiskRank is a general-purpose aggregation operator that concurrently accounts for risk levels for individual entities and their…

Risk Management · Quantitative Finance 2016-01-26 József Mezei , Peter Sarlin

In this paper, we propose a novel distributed algorithm to optimize the emergent macroscopic behavior of large-scale multi-agent systems via microscopic actions. We cast this task as a bilevel optimization problem, where the upper level…

Optimization and Control · Mathematics 2026-04-14 Riccardo Brumali , Guido Carnevale , Sonia Martínez , Giuseppe Notarstefano

In this paper, we consider a risk-averse decision problem for controlled-diffusion processes, with dynamic risk measures, in which multiple risk-averse agents choose their decisions in such a way to minimize their individual accumulated…

Optimization and Control · Mathematics 2016-11-15 Getachew K. Befekadu , Eduardo L. Pasiliao

This paper proposes a distributed attack detection and mitigation technique based on distributed estimation over a multi-agent network, where the agents take partial system measurements susceptible to (possible) biasing attacks. In…

Systems and Control · Electrical Eng. & Systems 2021-09-21 Mohammadreza Doostmohammadian , Houman Zarrabi , Hamid R. Rabiee , Usman A. Khan , Themistoklis Charalambous

System performance for networks composed of interconnected subsystems can be increased if the traditionally separated subsystems are jointly optimized. Recently, parallel and distributed optimization methods have emerged as a powerful tool…

Optimization and Control · Mathematics 2013-02-14 Ion Necoara , Valentin Nedelcu , Ioan Dumitrache

We consider settings in which the distribution of a multivariate random variable is partly ambiguous. We assume the ambiguity lies on the level of the dependence structure, and that the marginal distributions are known. Furthermore, a…

Mathematical Finance · Quantitative Finance 2020-05-27 Stephan Eckstein , Michael Kupper , Mathias Pohl

In our previous paper, "A Unified Approach to Systemic Risk Measures via Acceptance Set" (\textit{Mathematical Finance, 2018}), we have introduced a general class of systemic risk measures that allow for random allocations to individual…

Mathematical Finance · Quantitative Finance 2019-04-26 Francesca Biagini , Jean-Pierre Fouque , Marco Frittelli , Thilo Meyer-Brandis

In the highly complex and stochastic global, supply chain environments, local enterprise agents seek distributed and dynamic strategies for agile responses to disruptions. Existing literature explores both centralized and distributed…

Multiagent Systems · Computer Science 2025-07-28 Mingjie Bi , Juan-Alberto Estrada-Garcia , Dawn M. Tilbury , Siqian Shen , Kira Barton

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

Adaptive model predictive control (MPC) robustly ensures safety while reducing uncertainty during operation. In this paper, a distributed version is proposed to deal with network systems featuring multiple agents and limited communication.…

Systems and Control · Electrical Eng. & Systems 2024-04-17 Anilkumar Parsi , Ahmed Aboudonia , Andrea Iannelli , John Lygeros , Roy S. Smith

Distributionally robust optimization involves various probability measures in its problem formulation. They can be bundled to constitute a risk functional. For this equivalence, risk functionals constitute a fundamental building block in…

Optimization and Control · Mathematics 2021-05-14 Alois Pichler , Alexander Shapiro

Evaluation of systemic risk in networks of financial institutions in general requires information of inter-institution financial exposures. In the framework of Debt Rank algorithm, we introduce an approximate method of systemic risk…

Risk Management · Quantitative Finance 2021-04-14 Sebastian M. Krause , Hrvoje Štefančić , Vinko Zlatić , Guido Caldarelli

This paper presents a distributed multi-layer ring barrier coverage algorithm. In order to achieve single-layer ring barrier coverage, a distributed single-layer ring barrier coverage algorithm that maximises the probability of monitoring…

Optimization and Control · Mathematics 2023-01-06 Pengyang Fan , Chao Zhai

In this paper, we develop a novel dynamic distributed optimal safe consensus protocol to simultaneously achieve safety requirements and output optimal consensus. Specifically, we construct a distributed projection optimization algorithm…

Optimization and Control · Mathematics 2024-01-15 Ji Ma , Shu Liang , Yiguang Hong

We present an historical overview about the connections between the analysis of risk and the control of autonomous systems. We offer two main contributions. Our first contribution is to propose three overlapping paradigms to classify the…

Artificial Intelligence · Computer Science 2022-07-13 Yuheng Wang , Margaret P. Chapman

The policy objective of safeguarding financial stability has stimulated a wave of research on systemic risk analytics, yet it still faces challenges in measurability. This paper models systemic risk by tapping into expert knowledge of…

General Finance · Quantitative Finance 2014-12-30 Jozsef Mezei , Peter Sarlin

We consider the problem of steering a multi-agent system to multi-consensus, namely a regime where groups of agents agree on a given value which may be different from group to group. We first address the problem by using distributed…

Systems and Control · Electrical Eng. & Systems 2021-02-19 Lucia Valentina Gambuzza , Mattia Frasca
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