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We present a model that investigates the spontaneous emergence of randomness in equity market microstructure. The phase space analysis of our model exposes an endogenous source of fluctuation in price and volume. We formulate a control…

Probability · Mathematics 2008-12-02 Ted Theodosopoulos , Muffasir Badshah

We present a simple model of a non-equilibrium self-organizing market where asset prices are partially driven by investment decisions of a bounded-rational agent. The agent acts in a stochastic market environment driven by various exogenous…

Computational Finance · Quantitative Finance 2018-05-18 Igor Halperin , Ilya Feldshteyn

The waiting time needed for a stock market index to undergo a given percentage change in its value is found to have an up-down asymmetry, which, surprisingly, is not observed for the individual stocks composing that index. To explain this,…

Physics and Society · Physics 2009-11-11 Raul Donangelo , Mogens H. Jensen , Ingve Simonsen , Kim Sneppen

An agent-based modelling methodology for the joint price evolution of two stocks is put forward. The method models future multidimensional price trajectories reflecting how a class of agents rebalance their portfolios in an operational way…

Mathematical Finance · Quantitative Finance 2025-03-25 Dario Crisci , Sebastian E. Ferrando , Konrad Gajewski

We proposed a model of interacting market agents based on the Ising spin model. The agents can take three actions: "buy," "sell," or "stay inactive." We defined a price evolution in terms of the system magnetization. The model reproduces…

Statistical Finance · Quantitative Finance 2008-12-02 Paweł Sieczka , Janusz A. Hołyst

In this work the system of agents is applied to establish a model of the nonlinear distributed signal processing. The evolution of the system of the agents - by the prediction time scale diversified trend followers, has been studied for the…

Statistical Finance · Quantitative Finance 2011-10-13 Tomáš Tokár , Denis Horváth , Michal Hnatich

Equity options are known to be notoriously difficult to price accurately, and even with the development of established mathematical models there are many assumptions that must be made about the underlying processes driving market movements.…

Economics · Quantitative Finance 2017-08-24 Adam Wu

We introduce an agent-based model, in which agents set their prices to maximize profit. At steady state the market self-organizes into three groups: excess producers, consumers and balanced agents, with prices determined by their own…

General Finance · Quantitative Finance 2018-01-03 Bin Li , K. Y. Michael Wong , Amos H. M. Chan , Tsz Yan So , Hermanni Heimonen , Junyi Wei , David Saad

We study an agent-based stock market model with heterogeneous agents and friction. Our model is based on that of Foellmer-Schweizer(1993): The process of a stock price in a discrete-time framework is determined by temporary equilibria via…

Probability · Mathematics 2013-01-29 Takashi Kato

Classical Kyle-type models of informed trading typically treat noise trader demand as purely exogenous. In reality, many market participants react to price movements and news, generating feedback effects that can significantly alter market…

Mathematical Finance · Quantitative Finance 2026-01-16 Eunjung Noh

We present a simple agent-based model to study the development of a bubble and the consequential crash and investigate how their proximate triggering factor might relate to their fundamental mechanism, and vice versa. Our agents invest…

Trading and Market Microstructure · Quantitative Finance 2010-11-12 Georges Harras , Didier Sornette

Biological functions are generated as a result of developmental dynamics that form phenotypes governed by genotypes. The dynamical system for development is shaped through genetic evolution following natural selection based on the fitness…

Populations and Evolution · Quantitative Biology 2009-11-13 Kunihiko Kaneko

In order to simulate the complex phenomena manifested in stock markets, we introduce a continuous asynchronous model in which millions of individual traders interact through a central orders matching mechanism, just as it happens in real…

Statistical Mechanics · Physics 2008-12-02 M. Shatner , L. Muchnik , M. Leshno , S. Solomon

Increased day-trading activity and the subsequent jump in intraday volatility and trading volume fluctuations has raised considerable interest in models for financial market microstructure. We investigate the random transitions between two…

Probability · Mathematics 2007-05-23 Muffasir Badshah , Robert Boyer , Ted Theodosopoulos

We propose a kinetic model to describe the dynamical evolution of wealth and knowledge in national and global markets, starting from a microscopic description of individual interactions. The model is built upon interaction rules that…

Physics and Society · Physics 2026-02-24 Marzia Bisi , Martina Conte , Maria Groppi

We consider models of financial markets in which all parties involved find incentives to participate. Strategies are evaluated directly by their virtual wealths. By tuning the price sensitivity and market impact, a phase diagram with…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 C. H. Yeung , K. Y. Michael Wong , Y. -C. Zhang

Using Trades and Quotes data from the Paris stock market, we show that the random walk nature of traded prices results from a very delicate interplay between two opposite tendencies: long-range correlated market orders that lead to…

Statistical Mechanics · Physics 2008-12-02 Jean-Philippe Bouchaud , Yuval Gefen , Marc Potters , Matthieu Wyart

Some agent-based models for growth and allocation of resources are described. The first class considered consists of conservative models, where the number of agents and the size of resources are constant during time evolution. The second…

Physics and Society · Physics 2009-11-13 Enrico Scalas , Mauro Gallegati , Eric Guerci , David Mas , Alessandra Tedeschi

We propose a new non-equilibrium model for spatial pattern formation on the basis of local information transfer. Unlike standard models of pattern formation it is not based on the Turing instability. Information is transmitted through the…

Statistical Mechanics · Physics 2007-05-23 Thimo Rohlf , Stefan Bornholdt

Agent-based models help explain stock price dynamics as emergent phenomena driven by interacting investors. In this modeling tradition, investor behavior has typically been captured by two distinct mechanisms -- learning and heterogeneous…

Computers and Society · Computer Science 2025-11-12 Ryuji Hashimoto , Ryosuke Takata , Masahiro Suzuki , Yuki Tanaka , Kiyoshi Izumi
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