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We study models of regulatory breakup, in the spirit of Strong and Fouque [Ann. Finance 7 (2011) 349-374] but with a fluctuating number of companies. An important class of market models is based on systems of competing Brownian particles:…

概率论 · 数学 2016-06-23 Ioannis Karatzas , Andrey Sarantsev

We study the collective behavior of interacting agents in a simple model of market economics originally introduced by N{\o}rrelykke and Bak. A general theoretical framework for interacting traders on an arbitrary network is presented, with…

综合金融 · 定量金融 2017-05-24 Avinash Chand Yadav , Kaustubh Manchanda , Ramakrishna Ramaswamy

A peloton may be defined as two or more cyclists riding in sufficiently close proximity to be located either in one of two basic positions: 1) behind cyclists in zones of reduced air pressure, referred to as 'drafting', or 2) in zones of…

适应与自组织系统 · 物理学 2012-06-06 Hugh Trenchard

We present analytic and numerical results for two models, namely the minority model and the bar-attendance model, which offer simple paradigms for a competitive marketplace. Both models feature heterogeneous agents with bounded rationality…

凝聚态物理 · 物理学 2007-05-23 Neil F. Johnson , Michael Hart , Pak Ming Hui

We present an agent behavior based microscopic model that induces jumps, spikes and high volatility phases in the price process of a traded asset. We transfer dynamics of thermally activated jumps of an unexcited/ excited two state system…

交易与市场微观结构 · 定量金融 2017-02-01 Christof Henkel

This Chapter reviews statistical models for the probability distribution of money developed in the econophysics literature since the late 1990s. In these models, economic transactions are modeled as random transfers of money between the…

统计金融 · 定量金融 2012-04-10 Victor M. Yakovenko

This paper aims to provide a simple modelling of speculative bubbles and derive some quantitative properties of its dynamical evolution. Starting from a description of individual speculative behaviours, we build and study a second order…

概率论 · 数学 2013-09-25 Sébastien Gadat , Laurent Miclo , Fabien Panloup

We investigate the full dynamics of capital allocation and wealth distribution of heterogeneous agents in a frictional economy during booms and busts using tools from mean-field games. Two groups in our models, namely the expert and the…

数理金融 · 定量金融 2025-02-18 Hoang Vu , Tomoyuki Ichiba

Current fluctuations in a dissipative two-state system have been studied using a novel quantum dynamics simulation method. After a transformation of the path integrals, the tunneling dynamics is computed by deterministic integration over…

统计力学 · 物理学 2009-10-31 J. Stockburger , C. H. Mak

Understanding the evolutionary stability of cooperation is a central problem in biology, sociology, and economics. There exist only a few known mechanisms that guarantee the existence of cooperation and its robustness to cheating. Here, we…

种群与进化 · 定量生物学 2024-11-20 Lorenzo Fant , Onofrio Mazzarisi , Emanuele Panizon , Jacopo Grilli

A generalized continuous economic model is proposed for random markets. In this model, agents interact by pairs and exchange their money in a random way. A parameter controls the effectiveness of the transactions between the agents. We show…

综合金融 · 定量金融 2011-05-11 R. Lopez-Ruiz , E. Shivanian , S. Abbasbandy , J. L. Lopez

The financial market is nonpredictable, as according to the Bachelier, the mathematical expectation of the speculator is zero. Nevertheless, we observe in the price fluctuations the two distinct scales, short and long time. Behaviour of a…

物理与社会 · 物理学 2008-12-02 R. Wojnar

Highly-diverse ecosystems exhibit a broad distribution of population sizes and species turnover, where species at high and low abundances are exchanged over time. We show that these two features generically emerge in the fluctuating phase…

种群与进化 · 定量生物学 2024-01-09 Thibaut Arnoulx de Pirey , Guy Bunin

We discuss how minimal financial market models can be constructed by bridging the gap between two existing, but incomplete, market models: a model in which a population of virtual traders make decisions based on common global information…

交易与市场微观结构 · 定量金融 2008-12-16 Andy Kirou , Blazej Ruszczycki , Markus Walser , Neil F. Johnson

Standard economic theory assumes that agents in markets behave rationally. However, the observation of extremely large fluctuations in the price of financial assets that are not correlated to changes in their fundamental value, as well as…

物理与社会 · 物理学 2015-06-26 Sitabhra Sinha

We have studied the statistical mechanics of money circulation in a closed economic system. An explicit statistical formulation of the circulation velocity of money is presented for the first time by introducing the concept of holding time…

物理与社会 · 物理学 2009-11-11 Yougui Wang , Ning Ding , Li Zhang

A deterministic system of coupled maps is proposed as a model for economic activity among interacting agents. The values of the maps represent the wealth of the agents. The dynamics of the system is controlled by two parameters. One…

混沌动力学 · 物理学 2008-12-02 J. R. Sanchez , J. Gonzalez-Estevez , R. Lopez-Ruiz , M. G. Cosenza

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…

概率论 · 数学 2007-05-23 Muffasir Badshah , Robert Boyer , Ted Theodosopoulos

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…

统计力学 · 物理学 2009-11-07 Stefan Bornholdt , Friedrich Wagner

Market confidence is essential for successful investing. By incorporating multi-market into the evolutionary minority game, we investigate the effects of investor beliefs on the evolution of collective behaviors and asset prices. When there…

交易与市场微观结构 · 定量金融 2015-06-18 Li-Xin Zhong , Wen-Juan Xu , Ping Huang , Chen-Yang Zhong , Tian Qiu