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In this work we present an equilibrium formulation for price impacts. This is motivated by the Buhlmann equilibrium in which assets are sold into a system of market participants, e.g. a fire sale in systemic risk, and can be viewed as a…

Mathematical Finance · Quantitative Finance 2022-04-26 Maxim Bichuch , Zachary Feinstein

This paper proposes a novel dynamical model for determining clearing payments in financial networks. We extend the classical Eisenberg-Noe model of financial contagion to multiple time periods, allowing financial operations to continue…

Optimization and Control · Mathematics 2024-01-17 Giuseppe C. Calafiore , Giulia Fracastoro , Anton V. Proskurnikov

This article examines neural network-based approximations for the superhedging price process of a contingent claim in a discrete time market model. First we prove that the $\alpha$-quantile hedging price converges to the superhedging price…

Mathematical Finance · Quantitative Finance 2021-07-30 Francesca Biagini , Lukas Gonon , Thomas Reitsam

The increasing integration of world economies, which organize in complex multilayer networks of interactions, is one of the critical factors for the global propagation of economic crises. We adopt the network science approach to quantify…

Physics and Society · Physics 2019-01-09 Michele Starnini , Marián Boguñá , M. Ángeles Serrano

Financial crises are known as crashes that result in a sudden loss of value of financial assets in large part and they continue to occur from time to time surprisingly. In order to discover features of the financial network, the pairwise…

Statistical Finance · Quantitative Finance 2023-01-11 MohammadReza Zahedian , Mahsa Bagherikalhor , Andrey Trufanov , G. Reza Jafari

We present a simple dynamic equilibrium model for an online exchange where both buyers and sellers arrive according to a exogenously defined stochastic process. The structure of this exchange is motivated by the limit order book mechanism…

Computer Science and Game Theory · Computer Science 2008-12-02 Garud Iyengar , Anuj Kumar

We propose two rational expectation models of transient financial bubbles with heterogeneous arbitrageurs and positive feedbacks leading to self-reinforcing transient stochastic faster-than-exponential price dynamics. As a result of the…

General Finance · Quantitative Finance 2009-11-11 Li Lin , Didier Sornette

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

Optimal execution of a portfolio have been a challenging problem for institutional investors. Traders face the trade-off between average trading price and uncertainty, and traditional methods suffer from the curse of dimensionality. Here,…

Portfolio Management · Quantitative Finance 2023-06-16 Xiaoyue Li , John M. Mulvey

This paper provides a framework for modeling financial contagion in a network subject to fire sales and price impacts, but allowing for firms to borrow to cover their shortfall as well. We consider both uncollateralized and collateralized…

Mathematical Finance · Quantitative Finance 2018-10-02 Maxim Bichuch , Zachary Feinstein

Experience has shown that trading in stock and cryptocurrency markets has the potential to be highly profitable. In this light, considerable effort has been recently devoted to investigate how to apply machine learning and deep learning to…

Machine Learning · Computer Science 2022-05-18 Mohammadmahdi Ghahramani , Hamid Esmaeili Najafabadi

This paper investigates how similarity in the informational representation of market states among Artificial Intelligence (AI) trading agents can generate systemic instability in financial markets. We construct a structural multi-agent…

Trading and Market Microstructure · Quantitative Finance 2026-04-28 Yimeng Qiu , Qiwei Han

We consider the problem of optimal investment and consumption in a class of multidimensional jump-diffusion models in which asset prices are subject to mutually exciting jump processes. This captures a type of contagion where each downward…

Portfolio Management · Quantitative Finance 2012-10-08 Yacine Aït-Sahalia , T. R. Hurd

In this paper, we describe a novel agent-based approach for modelling the transaction cost of buying or selling an asset in financial markets, e.g., to liquidate a large position as a result of a margin call to meet financial obligations.…

Trading and Market Microstructure · Quantitative Finance 2025-05-22 Perukrishnen Vytelingum , Rory Baggott , Namid Stillman , Jianfei Zhang , Dingqiu Zhu , Tao Chen , Justin Lyon

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

Propagation of balance-sheet or cash-flow insolvency across financial institutions may be modeled as a cascade process on a network representing their mutual exposures. We derive rigorous asymptotic results for the magnitude of contagion in…

Risk Management · Quantitative Finance 2014-03-26 Hamed Amini , Rama Cont , Andreea Minca

We provide simple models for the utility function (or psychology) of an actor trading a multitude of goods for money. In this framework, money has no intrinsic consumption value, but is required as a medium of exchange. A collection of such…

Physics and Society · Physics 2026-05-25 Robert S. Farr

We address the joint detection-and-attribution problem in cross-border financial contagion through a two-stage framework. The first stage applies wavelet-quantile transfer entropy across time-scales and lower, median, and upper-tail…

General Economics · Economics 2026-04-30 Avishek Bhandari , Ipsita Parida , Hitesh Kumar Sahu

Empirical data reveals that the liquidity flow into the order book (depositions, cancellations andmarket orders) is influenced by past price changes. In particular, we show that liquidity tends todecrease with the amplitude of past…

Trading and Market Microstructure · Quantitative Finance 2020-06-24 Antoine Fosset , Jean-Philippe Bouchaud , Michael Benzaquen

Deep neural networks (DNNs) have garnered significant attention in financial asset pricing, due to their strong capacity for modeling complex nonlinear relationships within financial data. However, sophisticated models are prone to…

Computational Engineering, Finance, and Science · Computer Science 2025-08-01 Che Sun
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