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In this paper we present an interacting-agent model of stock markets. We describe a stock market through an Ising-like model in order to formulate the tendency of traders getting to be influenced by the other traders' investment attitudes…

Physics and Society · Physics 2013-09-11 Taisei Kaizoji

A simple Ising spin model which can describe the mechanism of price formation in financial markets is proposed. In contrast to other agent-based models, the influence does not flow inward from the surrounding neighbors to the center site,…

Statistical Mechanics · Physics 2009-11-07 K. Sznajd-Weron , R. Weron

We study a dynamical Ising model of agents' opinions (buy or sell) with coupling coefficients reassessed continuously in time according to how past external news (magnetic field) have explained realized market returns. By combining herding,…

Physics and Society · Physics 2008-12-02 Wei-Xing Zhou , Didier Sornette

A numerical agent-based spin model of financial markets, based on the Potts model from statistical mechanics, with a novel interpretation of the spin variable (as regards financial-market models) is presented. In this model, a value of the…

Statistical Finance · Quantitative Finance 2021-04-28 Mateusz Denys

We present an interacting-agent model of speculative activity explaining bubbles and crashes in stock markets. We describe stock markets through an infinite-range Ising model to formulate the tendency of traders getting influenced by the…

Statistical Mechanics · Physics 2009-10-31 Taisei Kaizoji

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

Spin models of markets inspired by physics models of magnetism, as the Ising model, allow for the study of the collective dynamics of interacting agents in a market. The number of possible states has been mostly limited to two (buy or sell)…

Physics and Society · Physics 2021-12-14 Stefan Bornholdt

We consider a financial market model which consists of a financial asset and a large number of interacting agents classified into many types. Different types of agents are heterogeneous in their price expectations. Each agent can change its…

Probability · Mathematics 2008-12-02 Biao Wu

Financial markets are a classical example of complex systems as they comprise many interacting stocks. As such, we can obtain a surprisingly good description of their structure by making the rough simplification of binary daily returns.…

Statistical Finance · Quantitative Finance 2014-01-28 Thomas Bury

A microscopic model of financial markets is considered, consisting of many interacting agents (spins) with global coupling and discrete-time thermal bath dynamics, similar to random Ising systems. The interactions between agents change…

Statistical Mechanics · Physics 2012-08-27 Andrzej Krawiecki , Janusz A. Holyst , and Dirk Helbing

Macroscopic price evolution models are commonly used for investment strategies. There are first promising achievements in defining microscopic agent based models for the same purpose. Microscopic models allow a deeper understanding of…

Pricing of Securities · Quantitative Finance 2011-03-29 Sebastian M. Krause , Stefan Bornholdt

In this paper we extend the series of our studies on the properties of an interacting particle model for market microstructure. In our earlier work we defined a Markov process on the majority opinion of the agents, obtained the transition…

Probability · Mathematics 2008-12-02 Ted Theodosopoulos , Ming Yuen

We investigate Ising model description of dynamics of stock price. The model is defined in near 2 dimensions, one dimension is time and another represents ensemble of stocks, and strength of response of investors to price change corresponds…

Statistical Mechanics · Physics 2008-12-02 Takeshi Inagaki

We describe a new model to simulate the dynamic interactions between market price and the decisions of two different kind of traders. They possess spatial mobility allowing to group together to form coalitions. Each coalition follows a…

Statistical Mechanics · Physics 2009-10-31 Filippo Castiglione

The stability of money value is an important requisite for a functioning economy, yet it critically depends on the actions of participants in the market themselves. Here we model the value of money as a dynamical variable that results from…

Statistical Mechanics · Physics 2009-11-07 Stefan Bornholdt , Friedrich Wagner

Agent-based models provide a constructive approach to studying emergent dynamics in life-like systems composed of interacting, adaptive agents. Financial markets serve as a canonical example of such systems, where collective price dynamics…

Computational Finance · Quantitative Finance 2026-04-28 Ryuji Hashimoto , Ryosuke Takata , Masahiro Suzuki , Yuki Tanaka , Kiyoshi Izumi

The dynamics of a stock market with heterogeneous agents is discussed in the framework of a recently proposed spin model for the emergence of bubbles and crashes. We relate the log returns of stock prices to magnetization in the model and…

Statistical Mechanics · Physics 2009-11-07 Taisei Kaizoji , Stefan Bornholdt , Yoshi Fujiwara

We propose a formula of time-series prediction by means of three states random field Ising model (RFIM). At the economic crisis due to disasters or international disputes, the stock price suddenly drops. The macroscopic phenomena should be…

Trading and Market Microstructure · Quantitative Finance 2013-09-20 Mitsuaki Murota , Jun-ichi Inoue

As a typical representation of complex networks studied relatively thoroughly, financial market presents some special details, such as its nonconservation and opinions spreading. In this model, agents congregate to form some clusters, which…

Other Condensed Matter · Physics 2007-05-23 Jie Wang , Chun-Xia Yang , Pei-Ling Zhou , Ying-Di Jin , Tao Zhou , Bing-Hong Wang

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
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