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We propose a dynamical model for cascading failures in single-commodity network flows. In the proposed model, the network state consists of flows and activation status of the links. Network dynamics is determined by a, possibly…

Systems and Control · Computer Science 2014-07-15 Ketan Savla , Giacomo Como , Munther A. Dahleh

Threats on the stability of a financial system may severely affect the functioning of the entire economy, and thus considerable emphasis is placed on the analyzing the cause and effect of such threats. The financial crisis in the current…

Risk Management · Quantitative Finance 2014-10-28 Piotr Berman , Bhaskar DasGupta , Lakshmi Kaligounder , Marek Karpinski

Physical infrastructure systems supply crucial resources to residential, commercial, and industrial activities. These infrastructure systems generally consist of multiple types of infrastructure assets that are interdependent. In the event…

Optimization and Control · Mathematics 2024-07-25 Yijiang Li , Kibaek Kim , Sven Leyffer , Matt Menickelly , Lawrence Paul Lewis , Joshua Bergerson

The importance of adequately modeling credit risk has once again been highlighted in the recent financial crisis. Defaults tend to cluster around times of economic stress due to poor macro-economic conditions, {\em but also} by directly…

Risk Management · Quantitative Finance 2015-06-04 Sebastian Heise , Reimer Kuehn

Resolving major societal challenges, such as stagnated economic growth or wasted resources, heavily relies on successful project delivery. However, projects are notoriously hard to deliver successfully, partly due to their interconnected…

Social and Information Networks · Computer Science 2018-10-18 Christos Ellinas , Naoki Masuda

We undertake a fundamental study of network equilibria modeled as solutions of fixed point equations for monotone linear functions with saturation nonlinearities. The considered model extends one originally proposed to study systemic risk…

Dynamical Systems · Mathematics 2021-01-19 Leonardo Massai , Giacomo Como , Fabio Fagnani

Causal inference provides an analytical framework to identify and quantify cause-and-effect relationships among a network of interacting agents. This paper offers a novel framework for analyzing cascading failures in power transmission…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Shiuli Subhra Ghosh , Anmol Dwivedi , Ali Tajer , Kyongmin Yeo , Wesley M. Gifford

The structure, interdependence, and fragility of systems ranging from power grids and transportation to ecology, climate, biology and even human communities and the Internet, have been examined through network science. While the response to…

Physics and Society · Physics 2016-02-17 Udit Bhatia , Devashish Kumar , Evan Kodra , Auroop R. Ganguly

This study pioneers the application of the Gai-Kapadia framework, originally developed for interbank contagion, to global equity markets. It offers a novel approach to assess systemic risk and default cascades. Using a 20-asset network (13…

Risk Management · Quantitative Finance 2025-04-07 Ana I. C. Pereda

Complex non-linear interactions between banks and assets we model by two time-dependent Erd\H{o}s Renyi network models where each node, representing bank, can invest either to a single asset (model I) or multiple assets (model II). We use…

Risk Management · Quantitative Finance 2015-06-19 B. Podobnik , D. Horvatic , M. Bertella , L. Feng , X. Huang , B. Li

We model smart grids as complex interdependent networks, and study targeted attacks on smart grids for the first time. A smart grid consists of two networks: the power network and the communication network, interconnected by edges.…

Social and Information Networks · Computer Science 2015-02-19 Sushmita Ruj , Arindam Pal

Throughout economic history, the global economy has experienced recurring crises. The persistent recurrence of such economic crises calls for an understanding of their generic features rather than treating them as singular events. The…

Statistical Finance · Quantitative Finance 2011-04-14 Kyu-Min Lee , Jae-Suk Yang , Gunn Kim , Jaesung Lee , Kwang-Il Goh , In-mook Kim

Cascading failures (CF) entail component breakdowns spreading through infrastructure networks, causing system-wide collapse. Predicting CFs is of great importance for infrastructure stability and urban function. Despite extensive research…

Social and Information Networks · Computer Science 2025-03-06 Yinzhou Tang , Jinghua Piao , Huandong Wang , Shaw Rajib , Yong Li

The DebtRank algorithm has been increasingly investigated as a method to estimate the impact of shocks in financial networks, as it overcomes the limitations of the traditional default-cascade approaches. Here we formulate a dynamical…

Risk Management · Quantitative Finance 2018-11-21 Marco Bardoscia , Stefano Battiston , Fabio Caccioli , Guido Caldarelli

Most risk analysis models systematically underestimate the probability and impact of catastrophic events (e.g., economic crises, natural disasters, and terrorism) by not taking into account interconnectivity and interdependence of risks. To…

Physics and Society · Physics 2017-10-17 Xin Lin , Alaa Moussawi , Gyorgy Korniss , Jonathan Z. Bakdash , Boleslaw K. Szymanski

The role of Network Theory in the study of the financial crisis has been widely spotted in the latest years. It has been shown how the network topology and the dynamics running on top of it can trigger the outbreak of large systemic crisis.…

General Finance · Quantitative Finance 2016-05-09 Andrea Flori , Giuseppe Pappalardo , Michelangelo Puliga , Alessandro Chessa , Fabio Pammolli

Inspired by reliability issues in electric transmission networks, we use a probabilistic approach to study the occurrence of large failures in a stylized cascading failure model. In this model, lines have random capacities that initially…

Probability · Mathematics 2016-04-14 F. Sloothaak , S. C. Borst , A. P. Zwart

In studies on complex network systems using graph theory, eigen-analysis is typically performed on an undirected graph model of the network. However, when analyzing cascading failures in a power system, the interactions among failures…

Systems and Control · Electrical Eng. & Systems 2025-03-14 Zhenping Guo , Xiaowen Su , Kai Sun , Byungkwon Park , Srdjan Simunovic

Increased coupling between critical infrastructure networks, such as power and communication systems, will have important implications for the reliability and security of these systems. To understand the effects of power-communication…

Physics and Society · Physics 2015-06-24 Mert Korkali , Jason G. Veneman , Brian F. Tivnan , Paul D. H. Hines

Banking system crises are complex events that in a short span of time can inflict extensive damage to banks themselves and to the external economy. The crisis literature has so far identified a number of distinct effects or channels that…

General Finance · Quantitative Finance 2017-11-16 T. R. Hurd
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