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We consider an economy made of competing firms which are heterogeneous in their capital and use several inputs for producing goods. Their consumption policy is fixed rationally by maximizing a utility and their capital cannot fall below a…

Analysis of PDEs · Mathematics 2022-07-13 Yves Achdou , Guillaume Carlier , Quentin Petit , Daniela Tonon

We propose in this work a kinetic wealth-exchange model of economic growth by introducing saving as a non consumed fraction of production. In this new model, which starts also from microeconomic arguments, it is found that economic…

General Finance · Quantitative Finance 2019-03-07 D. S. Quevedo , C. J. Quimbay

Quasi-equilibrium models for aggregate variables are widely-used throughout finance and economics. The validity of such models depends crucially upon assuming that the systems' participants behave both independently and in a Markovian…

Trading and Market Microstructure · Quantitative Finance 2012-09-21 Harbir Lamba

We investigate the structure of the profit landscape obtained from the most basic, fluctuation based, trading strategy applied for the daily stock price data. The strategy is parameterized by only two variables, p and q. Stocks are sold and…

Statistical Finance · Quantitative Finance 2012-05-04 Andreas Gronlund , Il Gu Yi , Beom Jun Kim

In two-strategy decision-making problems, individuals often imitate the highest earners or choose either the common or rare strategy. Individuals who benefit from the common strategy are conformists, whereas those who profit by choosing the…

Populations and Evolution · Quantitative Biology 2026-02-03 Azadeh Aghaeeyan , Pouria Ramazi

The author seeks to develop a model to alter the bid-offer spread, currently quoted by market makers, that varies with the market and trading conditions. The dynamic nature of financial markets and trading, as with the rest of social…

Economics · Quantitative Finance 2016-02-03 Ravi Kashyap

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

The ultimate value of theories of the fundamental mechanisms comprising the asset price in financial systems will be reflected in the capacity of such theories to understand these systems. Although the models that explain the various states…

Trading and Market Microstructure · Quantitative Finance 2016-04-27 Kyubin Yim , Gabjin Oh , Seunghwan Kim

We develop a general framework to analyze the distribution functions of wealth and income. Within this framework we study wealth distribution in a society by using a model which turns on two-party trading for poor people while for rich…

Statistical Mechanics · Physics 2008-12-02 Arnab Das , Sudhakar Yarlagadda

The aim of this work is to establish the personal income distribution from the elementary constituents of a free market; products of a representative good and agents forming the economic network. The economy is treated as a self-organized…

General Finance · Quantitative Finance 2015-06-04 Joachim Kaldasch

A new approach to obtaining market--directional information, based on a non-stationary solution to the dynamic equation "future price tends to the value that maximizes the number of shares traded per unit time" [1] is presented. In our…

Trading and Market Microstructure · Quantitative Finance 2019-05-03 Vladislav Gennadievich Malyshkin

In a dual risk model, the premiums are considered as the costs and the claims are regarded as the profits. The surplus can be interpreted as the wealth of a venture capital, whose profits depend on research and development. In most of the…

Risk Management · Quantitative Finance 2024-12-02 Lingjiong Zhu

In a money exchange process involving a seller and a buyer, we develop a straightforward model encompassing conservative, non-conservative, and systems with or without debt. Our model integrates the Fermi function to capture the behavior of…

Dynamical Systems · Mathematics 2024-09-04 Hsin-Lun Li

We propose a set of conservative models in which agents exchange wealth with a preference in the choice of interacting agents in different ways. The common feature in all the models is that the temporary values of financial status of agents…

Physics and Society · Physics 2015-06-22 Sanchari Goswami , Parongama Sen

A microscopic approach to macroeconomic features is intended. A model for macroeconomic behavior based on the Ausloos-Clippe-Pekalski model is built and investigated. The influence of a discrete time information transfer is investigated.…

Physics and Society · Physics 2015-06-26 Janusz Miskiewicz , Marcel Ausloos

We study a class of heterogeneous agent-based models which are based on a basic set of principles, and the most fundamental operations of an economic system: trade and product transformations. A basic guiding principle is scale invariance,…

Trading and Market Microstructure · Quantitative Finance 2009-02-24 Samuel E. Vazquez

We introduce a model of super-exponential financial bubbles with two assets (risky and risk-free), in which rational investors and noise traders co-exist. Rational investors form expectations on the return and risk of a risky asset and…

Statistical Finance · Quantitative Finance 2014-03-11 T. Kaizoji , M. Leiss , A. Saichev , D. Sornette

Ecological communities with many species can be classified into dynamical phases. In systems with all-to-all interactions, a phase where a fixed point is always reached and a dynamically-fluctuating phase have been found. The dynamics when…

Populations and Evolution · Quantitative Biology 2023-08-04 Stav Marcus , Ari M Turner , Guy Bunin

Financial models do not merely analyse markets, but actively shape them. This effect, known as performativity, describes how financial theories and the subsequent actions based on them influence market processes, by creating self-fulfilling…

Trading and Market Microstructure · Quantitative Finance 2026-02-19 Charalampos Kleitsikas , Stefanos Leonardos , Carmine Ventre

Two-phase flow systems in porous media have complex dynamics. It is well established that a wide range of system parameters like viscosities and porosity as well as flow parameters such as pressure gradient and fluid saturation have strong…

Condensed Matter · Physics 2007-05-23 Henning Arendt Knudsen , Alex Hansen
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