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This paper develops a comprehensive theoretical framework that imports concepts from stochastic thermodynamics to model price impact and characterize the feasibility of round-trip arbitrage in financial markets. A trading cycle is treated…

Mathematical Finance · Quantitative Finance 2025-12-04 Amit Kumar Jha

Many natural systems exhibit dynamics characterized by alternating phases or recurring sets of states. Describing the fluctuations of such systems over stochastic trajectories is necessary across diverse fields, from biological motors to…

Statistical Mechanics · Physics 2025-12-17 Guilherme Fiusa , Pedro E. Harunari , Abhaya S. Hegde , Gabriel T. Landi

We propose a simple statistical-physics-inspired model for the effect of intrinsic fluctuations on supply and demand in markets. The model consists of agents that trade in two types of goods of which the total number is separately…

Physics and Society · Physics 2021-01-13 J. R. Mulder , René van Roij , R. A. Duine

This paper studies the trading volumes and wealth distribution of a novel agent-based model of an artificial financial market. In this model, heterogeneous agents, behaving according to the Von Neumann and Morgenstern utility theory, may…

General Finance · Quantitative Finance 2015-09-09 Pietro DeLellis , Franco Garofalo , Francesco Lo Iudice , Elena Napoletano

The high-order complexity of human behaviour is likely the root cause of extreme difficulty in financial market projections. We consider that behavioural simulation can unveil systemic dynamics to support analysis. Simulating diverse human…

Trading and Market Microstructure · Quantitative Finance 2025-06-03 Cheng Wang , Chuwen Wang , Shirong Zeng , Jianguo Liu , Changjun Jiang

We propose a simple market model where agents trade different types of products with each other by using money, relying only on local information. Value fluctuations of single products, combined with the condition of maximum profit in…

Condensed Matter · Physics 2015-06-24 Raul Donangelo , Alex Hansen , Kim Sneppen , Sergio R. Souza

Some of the most relevant future applications of multi-agent systems like autonomous driving or factories as a service display mixed-motive scenarios, where agents might have conflicting goals. In these settings agents are likely to learn…

Multiagent Systems · Computer Science 2022-07-20 Kyrill Schmid , Lenz Belzner , Robert Müller , Johannes Tochtermann , Claudia Linnhoff-Popien

We develop a behavioral asset pricing model in which agents trade in a market with information friction. Profit-maximizing agents switch between trading strategies in response to dynamic market conditions. Due to noisy private information…

Trading and Market Microstructure · Quantitative Finance 2019-05-02 Zhentao Shi , Huanhuan Zheng

Following a long tradition of physicists who have noticed that the Ising model provides a general background to build realistic models of social interactions, we study a model of financial price dynamics resulting from the collective…

Statistical Mechanics · Physics 2008-12-02 Didier Sornette , Wei-Xing Zhou

This work introduces a new framework for modeling financial markets through an interpretable probabilistic state machine. By clustering historical returns based on momentum and risk features across multiple time horizons, we identify…

Computational Engineering, Finance, and Science · Computer Science 2025-10-02 Christian Oliva , Silviu Gabriel Tinjala

We consider a tick-by-tick model of price formation, in which buy and sell orders are modeled as self-exciting point processes (Hawkes process), similar to the one in [Bacry, Delattre, Hoffmann, Muzy, Modelling microstructure noise with…

Mathematical Finance · Quantitative Finance 2026-03-27 Paolo Dai Pra , Paolo Pigato

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

Earlier we proposed the stochastic point process model, which reproduces a variety of self-affine time series exhibiting power spectral density S(f) scaling as power of the frequency f and derived a stochastic differential equation with the…

Physics and Society · Physics 2008-12-02 V. Gontis , B. Kaulakys

The modelling of modern power markets requires the representation of the following main features: (i) a stochastic dynamic decision process, with uncertainties related to renewable production and fuel costs, among others; and (ii) a…

Optimization and Control · Mathematics 2019-10-10 Joaquim Dias Garcia , Raphael Chabar

This paper uses the development of multi-agent market models to present a unified approach to the joint questions of how financial market movements may be simulated, predicted, and hedged against. We examine the effect of different market…

Condensed Matter · Physics 2009-10-31 P. Jefferies , M. L. Hart , P. M. Hui , N. F. Johnson

Systems with long-range interactions often exhibit power-law distributions and can by described by the non-extensive statistical mechanics framework proposed by Tsallis. In this contribution we consider a simple model reproducing continuous…

Physics and Society · Physics 2015-06-19 Aleksejus Kononovicius , Julius Ruseckas

The development of stochastic thermodynamics during the last decades prompted the discovery of novel nonequilibrium relations refining our understanding of the second law in small fluctuating systems and its connection with information…

Physics and Society · Physics 2025-11-19 Luis Irisarri , Lucas Trigal , Raúl Toral , Gonzalo Manzano

We introduce the stochastic multiplicative point process modelling trading activity of financial markets. Such a model system exhibits power-law spectral density S(f) ~ 1/f**beta, scaled as power of frequency for various values of beta…

Statistical Mechanics · Physics 2008-12-02 Vygintas Gontis , Bronislovas Kaulakys

An exact solution is presented to a model that mimics the crowding effect in financial markets which arises when groups of agents share information. We show that the size distribution of groups of agents has a power law tail with an…

Statistical Mechanics · Physics 2007-05-23 R. D'hulst , G. J. Rodgers

In the present paper a model of a market consisting of real and financial interacting sectors is studied. Agents populating the stock market are assumed to be not able to observe the true underlying fundamental, and their beliefs are biased…

General Finance · Quantitative Finance 2018-06-13 Fausto Cavalli , Ahmad Naimzada , Nicolò Pecora , Marina Pireddu
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