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We explore the role that random arbitrage opportunities play in hedging financial derivatives. We extend the asymptotic pricing theory presented by Fedotov and Panayides [Stochastic arbitrage return and its implication for option pricing,…

Other Condensed Matter · Physics 2009-11-11 Stephanos Panayides

We study the performance of general dynamic matching models. This model is defined by a connected graph, where nodes represent the class of items and the edges the compatibilities between items. Items of different classes arrive one by one…

Computer Science and Game Theory · Computer Science 2020-09-22 Arnaud Cadas , Josu Doncel , Jean-Michel Fourneau , Ana Bušić

A financial market is called "diverse" if no single stock is ever allowed to dominate the entire market in terms of relative capitalization. In the context of the standard Ito-process model initiated by Samuelson (1965) we formulate this…

Portfolio Management · Quantitative Finance 2008-12-10 Robert Fernholz , Ioannis Karatzas , Constantinos Kardaras

Prices in financial markets exhibit extreme jumps far more often than can be accounted for by external news. Further, magnitudes of price changes are correlated over long times. These so called stylized facts are quantified by scaling laws…

Trading and Market Microstructure · Quantitative Finance 2016-05-04 Felix Patzelt , Klaus Pawelzik

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

Price-mediated contagion occurs when a positive feedback loop develops following a drop in asset prices which forces banks and other financial institutions to sell their holdings. Prior studies of such events fix the level of market…

Risk Management · Quantitative Finance 2024-09-05 Zhiyu Cao , Zachary Feinstein

A financial market comprising of a certain number of distinct companies is considered, and the following statement is proved: either a specific agent will surely beat the whole market unconditionally in the long run, or (and this "or" is…

General Finance · Quantitative Finance 2010-12-30 Constantinos Kardaras

Episodes of market crashes have fascinated economists for centuries. Although many academics, practitioners and policy makers have studied questions related to collapsing asset price bubbles, there is little consensus yet about their causes…

Risk Management · Quantitative Finance 2008-12-15 T. Kaizoji , D. Sornette

The dual crises of the sub-prime mortgage crisis and the global financial crisis has prompted a call for explanations of non-equilibrium market dynamics. Recently a promising approach has been the use of agent based models (ABMs) to…

General Economics · Economics 2018-09-06 Michael S. Harré

Technological progress is leading to proliferation and diversification of trading venues, thus increasing the relevance of the long-standing question of market fragmentation versus consolidation. To address this issue quantitatively, we…

Trading and Market Microstructure · Quantitative Finance 2019-06-26 Aleksandra Alorić , Peter Sollich

We consider a random financial network with a large number of agents. The agents connect through credit instruments borrowed from each other or through direct lending, and these create the liabilities. The settlement of the debts of various…

General Finance · Quantitative Finance 2021-04-06 Indrajit Saha , Veeraruna Kavitha

The theory of complex networks and of disordered systems is used to study the stability and dynamical properties of a simple model of material flow networks defined on random graphs. In particular we address instabilities that are…

Disordered Systems and Neural Networks · Physics 2009-11-13 Kartik Anand , Tobias Galla

In this paper, we examine in an abstract framework, how a tradeoff between efficiency and robustness arises in different dynamic oligopolistic market architectures. We consider a market in which there is a monopolistic resource provider and…

Systems and Control · Computer Science 2013-10-02 Qingqing Huang , Mardavij Roozbehani , Munther A Dahleh

We consider the use of pricing as a regulatory mechanism when an unknown number of autonomous agents compete for access to a shared resource (possibly limited in volume or capacity). In standard dynamic pricing control systems, an…

Optimization and Control · Mathematics 2025-11-24 Christopher King , Homayoun Hamedmoghadam , Christos G. Cassandras , Fabian R. Wirth , Robert N. Shorten

This paper introduces an agent-based artificial financial market in which heterogeneous agents trade one single asset through a realistic trading mechanism for price formation. Agents are initially endowed with a finite amount of cash and a…

Statistical Mechanics · Physics 2009-11-07 Marco Raberto , Silvano Cincotti , Sergio M. Focardi , Michele Marchesi

The purpose of this work is to explore the role that arbitrage opportunities play in pricing financial derivatives. We use a non-equilibrium model to set up a stochastic portfolio, and for the random arbitrage return, we choose a stationary…

General Mathematics · Mathematics 2015-06-26 Sergei Fedotov , Stephanos Panayides

Artificial intelligence (AI) can undermine financial stability because of malicious use, misinformation, misalignment, and the AI analytics market structure. The low frequency and uniqueness of financial crises, coupled with mutable and…

General Economics · Economics 2024-06-07 Jon Danielsson , Andreas Uthemann

Modern economies evolved from simpler human exchanges into very convoluted systems. Today, a multitude of aspects can be regulated, tampered with, or left to chance; these are economic {\em degrees of freedom} which together shape the flow…

Physics and Society · Physics 2021-09-22 Luís F Seoane

Persistent financial frictions - including price volatility, constrained credit access, and supply chain inefficiencies - have long hindered productivity and welfare in the global agricultural sector. This paper provides a theoretical and…

General Economics · Economics 2025-07-22 Xinyu Li

We examine the dynamics of informational efficiency in a market with asymmetrically informed, boundedly rational traders who adaptively learn optimal strategies using simple multiarmed bandit (MAB) algorithms. The strategies available to…

Theoretical Economics · Economics 2024-11-11 Aleksei Pastushkov