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Many models of market dynamics make use of the idea of conservative wealth exchanges among economic agents. A few years ago an exchange model using extremal dynamics was developed and a very interesting result was obtained: a self-generated…

Physics and Society · Physics 2015-06-12 L. A. Braunstein , P. A. Macri , J. R. Iglesias

This paper is concerned with general spatially explicit versions of three stochastic models for the dynamics of money that have been introduced and studied numerically by statistical physicists: the uniform reshuffling model, the immediate…

Probability · Mathematics 2018-04-18 Nicolas Lanchier , Stephanie Reed

In this communication, some economic models given by functional mappings are addressed. These are models for random markets where agents trade by pairs and exchange their money in a random and conservative way. They display the exponential…

Trading and Market Microstructure · Quantitative Finance 2014-07-25 Ricardo Lopez-Ruiz , Elyas Shivanian , Jose-Luis Lopez

In this paper, we investigate the economic mobility in some money transfer models which have been applied into the research on wealth distribution. We demonstrate the mobility by recording the time series of agents' ranks and observing…

Physics and Society · Physics 2009-11-11 Ning Ding , Ning Xi , Yougui Wang

The distribution of money is analysed in connection with the Boltzmann distribution of energy in the degenerate states of molecules. Plots of the population density of income distribution for various countries are well reproduced by a Gamma…

Statistical Mechanics · Physics 2009-11-10 Juan C. Ferrero

In the so-called ``fair'' models of peer-to-peer wealth exchanges, economic inequality tends to reach its maximum value asymptotically. This global trend is evident as the richest continuously accumulate a larger share of wealth at the…

Physics and Society · Physics 2023-08-22 Thiago Dias , Sebastián Gonçalves

We consider a simplified version of the Wealth Game, which is an agent-based financial market model with many interesting features resembling the real stock market. Market makers are not present in the game so that the majority traders are…

Physics and Society · Physics 2010-09-24 W. Y. Cheung , K. Y. Michael Wong

We investigate a chain of spinless fermions with nearest-neighbour interactions that are subject to a local loss process. We determine the time evolution of the system using matrix product state methods. We find that at intermediate times a…

Quantum Gases · Physics 2020-03-04 Stefan Wolff , Ameneh Sheikhan , Sebastian Diehl , Corinna Kollath

How can we limit wealth disparities while stimulating economic flows in sustainable societies? To examine the link between these concepts, we propose an econophysics asset exchange model with the surplus stock of the wealthy. The wealthy…

General Economics · Economics 2021-11-08 Takeshi Kato , Yoshinori Hiroi

We start with the idea that open quantum systems can be used to represent financial markets by modelling events from the external environment and their impact on the market price. We show how to characterize distinct orbits of the time…

Mathematical Finance · Quantitative Finance 2025-05-05 Will Hicks

We present a mathematical model of a market with $m$ shares traded across $n$ investor groups, each one with similar motivations and trading strategies. The market of each asset consists of a fixed amount of cash and shares (no additions…

Dynamical Systems · Mathematics 2026-04-17 Mario Cavani

We present a model describing the competition between information transmission and decision making in financial markets. The solution of this simple model is recalled, and possible variations discussed. It is shown numerically that despite…

Adaptation and Self-Organizing Systems · Physics 2009-10-31 R. D'Hulst , G. J. Rodgers

In our model, $n$ traders interact with each other and with a central bank; they are taxed on the money they make, some of which is dissipated away by corruption. A generic feature of our model is that the richest trader always wins by…

Physics and Society · Physics 2008-12-02 Anita Mehta , A. S. Majumdar , J. M. Luck

We investigate a model of stratified economic interactions between agents when the notion of spatial location is introduced. The agents are placed on a network with near-neighbor connections. Interactions between neighbors can occur only if…

Physics and Society · Physics 2015-05-20 J. L. Herrera , M. G. Cosenza , K. Tucci

The "Money Exchange Model" is a type of agent-based simulation model used to study how wealth distribution and inequality evolve through monetary exchanges between individuals. The primary focus of this model is to identify the limiting…

Probability · Mathematics 2025-01-07 Hironobu Sakagawa

This paper investigates the emergence of wealth inequality through a minimalist kinetic exchange model that incorporates two fundamental economic features: fixed-amount transactions and hard budget constraints. In contrast to the maximum…

Physics and Society · Physics 2025-11-12 Jihyuan Liuh

I introduce a favor exchange model where favors are substitutable and study bilateral enforcement of cooperation. Without substitutability, the value of a relationship does not depend on the rest of the network, and in equilibrium there is…

Theoretical Economics · Economics 2023-09-20 Oguzhan Celebi

We analyze a conservative market model for the competition among economic agents in a close society. A minimum dynamics ensures that the poorest agent has a chance to improve its economic welfare. After a transient, the system…

Statistical Mechanics · Physics 2009-11-10 S. Pianegonda , J. R. Iglesias

In this work, we investigate a simple nonequilibrium system with many interconnected, open subsystems, each exchanging a globally conserved resource with an external reserve. The system is represented by a random graph, where nodes…

Adaptation and Self-Organizing Systems · Physics 2025-12-30 Shreeman Auromahima , Sitangshu Bikas Santra , Biplab Bose

We present a minimal agent-based model of interacting agents characterized by their wealth to study taxation and inequality in a non-conservative economy. Wealth evolves through an extremal stochastic replacement process in which the…

Physics and Society · Physics 2026-05-05 Lautaro Giordano , Sebastian Gonçalves , José Roberto Iglesias , María Fabiana Laguna