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We introduce a new framework to model interactions among agents which seek to trade to minimize their risk with respect to some future outcome. We quantify this risk using the concept of risk measures from finance, and introduce a class of…

Computer Science and Game Theory · Computer Science 2014-10-13 Rafael M. Frongillo , Mark D. Reid

In this paper we analyzed dependencies in commodity markets investigating correlations of future contracts for commodities over the period 1998.09.01 - 2007.12.14. We constructed a minimal spanning tree based on the correlation matrix. The…

Statistical Finance · Quantitative Finance 2009-11-13 Paweł Sieczka , Janusz A. Hołyst

Elastomers that can sustain large reversible strain are essential components for stretchable electronics. The stretchability and mechanical robustness of unfilled elastomers can be enhanced by introducing easier-to-break cross-links, e.g.…

Soft Condensed Matter · Physics 2020-01-20 Yikai Yin , Nicolas Bertin , Yanming Wang , Zhenan Bao , Wei Cai

Micro-structural models of contagion and systemic risk emphasize that shock propagation is inherently multi-channel, spanning counterparty exposures, short-term funding and roll-over risk, securities cross-holdings, and common-asset…

Statistical Finance · Quantitative Finance 2026-02-12 Ilias Aarab , Thomas Gottron , Andrea Colombo , Jörg Reddig , Annalauro Ianiro

Recent years have witnessed a surge of biological interest in the minimum spanning tree (MST) problem for its relevance to automatic model construction using the distances between data points. Despite the increasing use of MST algorithms…

Quantitative Methods · Quantitative Biology 2015-11-02 Momoko Hayamizu , Hiroshi Endo , Kenji Fukumizu

Excessive leverage, i.e. the abuse of debt financing, is considered one of the primary factors in the default of financial institutions. Systemic risk results from correlations between individual default probabilities that cannot be…

Risk Management · Quantitative Finance 2013-03-25 Paolo Tasca , Pavlin Mavrodiev , Frank Schweitzer

The ability to adequately model risks is crucial for insurance companies. The method of "Copula-based hierarchical risk aggregation" by Arbenz et al. offers a flexible way in doing so and has attracted much attention recently. We briefly…

Risk Management · Quantitative Finance 2015-06-22 Fabio Derendinger

In this brief review, we critically examine the recent work done on correlation-based networks in financial systems. The structure of empirical correlation matrices constructed from the financial market data changes as the individual stock…

Computational Finance · Quantitative Finance 2020-04-21 Vishwas Kukreti , Hirdesh K. Pharasi , Priya Gupta , Sunil Kumar

In this paper, we propose a methodology based on piece-wise homogeneous Markov chain for credit ratings and a multivariate model of the credit spreads to evaluate the financial risk in European Union (EU). Two main aspects are considered:…

Computational Finance · Quantitative Finance 2019-02-05 Guglielmo D'Amico , Filippo Petroni , Philippe Regnault , Stefania Scocchera , Loriano Storchi

The electric power grid is a critical societal resource connecting multiple infrastructural domains such as agriculture, transportation, and manufacturing. The electrical grid as an infrastructure is shaped by human activity and public…

--- the companies populating a Stock market, along with their connections, can be effectively modeled through a directed network, where the nodes represent the companies, and the links indicate the ownership. This paper deals with this…

Statistical Finance · Quantitative Finance 2018-07-26 Roy Cerqueti , Giulia Rotundo , Marcel Ausloos

The minimum spanning tree, based on the concept of ultrametricity, is constructed from the correlation matrix of stock returns and provides a meaningful economic taxonomy of the stock market. In order to study the dynamics of this asset…

Statistical Mechanics · Physics 2009-11-07 J. -P. Onnela , A. Chakraborti , K. Kaski , J. Kertesz

Intra-firm trade describes the trade between affiliated firms and is increasingly important as global production is fragmented. However, statistics and data on global intra-firm trade patterns are widely unavailable. This study proposes a…

General Economics · Economics 2023-08-24 Matthew Smith , Yasaman Sarabi

We use principle component analysis (PCA) of cross correlations in European government bonds and European stocks to investigate the systemic risk contained in the European economy. We tackle the task to visualize the evolution of risk,…

Statistical Finance · Quantitative Finance 2015-07-09 Jan Jurczyk , Alexander Eckrot

The theory of multilayer networks is in its early stages, and its development provides vital methods for understanding complex systems. Multilayer networks, in their multiplex form, have been introduced within the last three years to…

Computational Finance · Quantitative Finance 2017-04-04 Antoaneta Serguieva

We present here a topological characterization of the minimal spanning tree that can be obtained by considering the price return correlations of stocks traded in a financial market. We compare the minimal spanning tree obtained from a large…

Statistical Mechanics · Physics 2009-11-07 Giovanni Bonanno , Guido Caldarelli , Fabrizio Lillo , and Rosario N. Mantegna

We consider a nonlinear dynamical system on a signed graph, which can be interpreted as a mathematical model of social networks in which the links can have both positive and negative connotations. In accordance with a concept from social…

Social and Information Networks · Computer Science 2015-06-16 Tyler H. Summers , Iman Shames

We study synchronization dynamics in networks of coupled oscillators with bimodal distribution of natural frequencies. This setup can be interpreted as a simple model of frequency synchronization dynamics among generators and loads working…

Physics and Society · Physics 2012-07-03 Sergi Lozano , Lubos Buzna , Albert Díaz-Guilera

Systemic financial risk refers to the simultaneous failure or destabilization of multiple financial institutions, often triggered by contagion mechanisms or common exposures to shocks. In this paper, we present a dynamical model of bank…

Dynamical Systems · Mathematics 2026-03-31 Marco Ioffredi , Stefano Marmi , Matteo Tanzi

The global financial crisis in 2007-2009 demonstrated that systemic risk can spread all over the world through a complex web of financial linkages, yet we still lack fundamental knowledge about the evolution of the financial web. In…

Statistical Finance · Quantitative Finance 2018-06-11 Teruyoshi Kobayashi , Taro Takaguchi