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We consider a simple stochastic differential equation for modeling bubbles in social context. A prime example is bubbles in asset pricing, but similar mechanisms may control a range of social phenomena driven by psychological factors (for…

General Finance · Quantitative Finance 2010-09-03 Alexander Kiselev , Lenya Ryzhik

We introduce a simple model for addressing the controversy in the study of financial systems, sometimes taken as brownian-like processes and other as critical systems with fluctuations of arbitrary magnitude. The model considers a…

General Finance · Quantitative Finance 2013-01-01 João P. da Cruz , Pedro G. Lind

In this paper, making use of recent statistical physics techniques and models, we address the specific role of randomness in financial markets, both at the micro and the macro level. In particular, we review some recent results obtained…

General Finance · Quantitative Finance 2014-10-31 Alessio Emanuele Biondo , Alessandro Pluchino , Andrea Rapisarda

In normal times, it is assumed that financial institutions operating in non-overlapping sectors have complementary and distinct outcomes, typically reflected in mostly uncorrelated outcomes and asset returns. Such is the reasoning behind…

General Economics · Economics 2021-01-19 Sayuj Choudhari , Richard Licheng Zhu

Trust lies at the crux of most economic transactions, with credit markets being a notable example. Drawing on insights from the literature on coordination games and network growth, we develop a simple model to clarify how trust breaks down…

General Finance · Quantitative Finance 2009-11-17 Kartik Anand , Prasanna Gai , Matteo Marsili

Power grid outages cause huge economical and societal costs. Disruptions in the power distribution grid are responsible for a significant fraction of electric power unavailability to customers. The impact of extreme weather conditions,…

Systems and Control · Computer Science 2015-06-30 Yakup Koc , Abhishek Raman , Martijn Warnier , Tarun Kumar

In the aftermath of the financial crisis, the growing literature on financial networks has widely documented the predictive power of topological characteristics (e.g. degree centrality measures) to explain the systemic impact or systemic…

General Finance · Quantitative Finance 2021-10-27 Yérali Gandica , Sophie Béreau , Jean-Yves Gnabo

In this paper, a new reliability model has been developed for a single system degrading stochastically which experiences soft and hard failure. Soft failure occurs when the physical deterioration level of the system is greater than a…

Statistics Theory · Mathematics 2019-03-04 Nooshin Yousefi , David W. Coit

The credit crisis roiling the world's financial markets will likely take years and entire careers to fully understand and analyze. A short empirical investigation of the current trends, however, demonstrates that the losses in certain…

Statistical Finance · Quantitative Finance 2015-05-13 Reginald D. Smith

We study simultaneous price drops of real stocks and show that for high drop thresholds they follow a power-law distribution. To reproduce these collective downturns, we propose a minimal self-organized model of cascade spreading based on a…

Physics and Society · Physics 2015-03-13 Stanislao Gualdi , Matus Medo , Yi-Cheng Zhang

The stability of the financial system is associated with systemic risk factors such as the concurrent default of numerous small obligors. Hence it is of utmost importance to study the mutual dependence of losses for different creditors in…

Risk Management · Quantitative Finance 2017-06-30 Andreas Mühlbacher , Thomas Guhr

We study the disequilibrium dynamics of a stylised model of production networks in which firms use perishable and non-substitutable intermediate inputs, so that adverse idiosyncratic productivity shocks can trigger downstream shortages and…

Physics and Society · Physics 2026-02-02 David Martin , José Moran , Debabrata Panja , Jean-Philippe Bouchaud

We explore a model of the interaction between banks and outside investors in which the ability of banks to issue inside money (short-term liabilities believed to be convertible into currency at par) can generate a collapse in asset prices…

Pricing of Securities · Quantitative Finance 2014-10-20 Charles D. Brummitt , Rajiv Sethi , Duncan J. Watts

Price fluctuations in financial markets can be characterized by L\'evy's stable distribution, which is supported by the generalized central limit system. When the stable parameters were estimated from four different stock markets in long…

Statistical Finance · Quantitative Finance 2018-02-21 Takumi Fukunaga , Ken Umeno

This paper deals with the stability properties of a closed market, where capital and labour force are acting like a predator-prey system in population-dynamics. The spatial movement of the capital and labour force are taken into account by…

Dynamical Systems · Mathematics 2013-02-19 Laszlo Balazsi , Krisztina Kiss

As economic entities become increasingly interconnected, a shock in a financial network can provoke significant cascading failures throughout the system. To study the systemic risk of financial systems, we create a bi-partite banking…

General Finance · Quantitative Finance 2013-03-11 Xuqing Huang , Irena Vodenska , Shlomo Havlin , H. Eugene Stanley

The financial market is a complex dynamical system composed of a large variety of intricate relationships between several entities, such as banks, corporations and institutions. At the heart of the system lies the stock exchange mechanism,…

Scale invariance, collective behaviours and structural reorganization are crucial for portfolio management (portfolio composition, hedging, alternative definition of risk, etc.). This lack of any characteristic scale and such elaborated…

Statistical Finance · Quantitative Finance 2014-03-24 Thomas Bury

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 value of stocks, indices and other assets, are examples of stochastic processes with unpredictable dynamics. In this paper, we discuss asymmetries in short term price movements that can not be associated with a long term positive trend.…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Ingve Simonsen , Peter Toke Heden Ahlgren , Mogens H. Jensen , Raul Donangelo , Kim Sneppen