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The use of kinetic modelling based on partial differential equations for the dynamics of stock price formation in financial markets is briefly reviewed. The importance of behavioral aspects in market booms and crashes and the role of…

Trading and Market Microstructure · Quantitative Finance 2010-07-12 Dario Maldarella , Lorenzo Pareschi

We introduce a system of kinetic equations describing an exchange market consisting of two populations of agents (dealers and speculators) expressing the same preferences for two goods, but applying different strategies in their exchanges.…

General Finance · Quantitative Finance 2018-03-14 Carlo Brugna , Giuseppe Toscani

In this paper, we introduce a large system of interacting financial agents in which each agent is faced with the decision of how to allocate his capital between a risky stock or a risk-less bond. The investment decision of investors,…

Portfolio Management · Quantitative Finance 2019-02-21 Torsten Trimborn , Lorenzo Pareschi , Martin Frank

We attempt to explain stock market dynamics in terms of the interaction among three variables: market price, investor opinion and information flow. We propose a framework for such interaction and apply it to build a model of stock market…

General Finance · Quantitative Finance 2014-09-23 Maxim Gusev , Dimitri Kroujiline , Boris Govorkov , Sergey V. Sharov , Dmitry Ushanov , Maxim Zhilyaev

We propose a simple stochastic model of market behavior. Dividing market participants into two groups: trend-followers and fundamentalists, we derive the general form of a stochastic equation of market dynamics. The model has two…

Statistical Mechanics · Physics 2008-12-02 Guennadi Saiko

We study a minimalist kinetic model for economies. A system of agents with local trading rules display emergent demand behaviour. We examine the resulting wealth distribution to look for non-thermal behaviour. We compare and contrast this…

General Finance · Quantitative Finance 2008-12-02 Wan Ahmad Tajuddin Wan Abdullah , Sidiq Mohamad Khidzir

We propose a novel kinetic exchange model differing from previous ones in two main aspects. First, the basic dynamics is modified in order to represent economies where immediate wealth exchanges are carried out, instead of reshufflings or…

General Finance · Quantitative Finance 2015-05-07 Els Heinsalu , Marco Patriarca

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

The main focus of this work is to understand the dynamics of non regulated markets. The present model can describe the dynamics of any market where the pricing is based on supply and demand. It will be applied here, as an example, for the…

adap-org · Physics 2007-05-23 Andreas Schaale

In this paper, we consider a simple kinetic model of economy involving both exchanges between agents and speculative trading. We show that the kinetic model admits non trivial quasi-stationary states with power law tails of Pareto type. In…

Analysis of PDEs · Mathematics 2009-11-10 Stephane Cordier , Lorenzo Pareschi , Giuseppe Toscani

Two kinetic exchange models are proposed to explore the dynamics of closed economic markets characterized by random exchanges, saving propensities, and collective transactions. Model I simulates a system where individual transactions occur…

Cellular Automata and Lattice Gases · Physics 2025-02-20 Chuandong Lin , Lijie Cui

A new model for stocks markets using integer values for each stock price is presented. In contrast with previously reported models, the variables used in the model are not of binary type, but of more general integer type. It is shown how…

Condensed Matter · Physics 2007-05-23 Juan R. Sanchez

In this article, we briefly review the different aspects and applications of kinetic exchange models in economics and sociology. Our main aim is to show in what manner the kinetic exchange models for closed economic systems were inspired by…

Physics and Society · Physics 2014-08-07 Sanchari Goswami , Anirban Chakraborti

In this paper we introduce kinetic equations for the evolution of the probability distribution of two goods among a huge population of agents. The leading idea is to describe the trading of these goods by means of some fundamental rules in…

General Finance · Quantitative Finance 2015-06-11 G. Toscani , C. Brugna , S. Demichelis

Linear stochastic models and discretized kinetic theory are two complementary analytical techniques used for the investigation of complex systems of economic interactions. The former employ Langevin equations, with an emphasis on stock…

General Finance · Quantitative Finance 2017-02-10 M. L. Bertotti , A. K. Chattopadhyay , G. Modanese

It is sometimes acknowledged that (sell-side) equity analysts' recommendations influence investors and therefore market prices. In particular, the S&P 500 is expected to decline (respectively rise) when analysts revise their targets…

Analysis of PDEs · Mathematics 2025-12-24 Jean-Gabriel Attali , Francesco Salvarani

Involving effects of media, opinion leader and other agents on the opinion of individuals of market society, a trader based model is developed and utilized to simulate price via supply and demand. Pronounced effects are considered with…

Physics and Society · Physics 2009-11-11 Caglar Tuncay

We study here numerically the behavior of an ideal gas like model of markets having only one non-consumable commodity. We investigate the behavior of the steady-state distributions of money, commodity and total wealth, as the dynamics of…

Physics and Society · Physics 2009-11-13 Arnab Chatterjee , Bikas K. Chakrabarti

A simple Hawkes model have been developed for the price tick structure dynamics incorporating market microstructure noise and trade clustering. In this paper, the model is extended with random mark to deal with more realistic price tick…

Statistical Finance · Quantitative Finance 2019-07-30 Kyungsub Lee , Byoung Ki Seo

We propose a frustrated and disordered many-body model of a stockmarket in which independent adaptive traders can trade a stock subject to the economic law of supply and demand. We show that the typical scaling properties and the correlated…

Statistical Mechanics · Physics 2008-12-02 Fabio Franci , Lorenzo Matassini
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