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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

In this paper we discuss some examples of systems composed of $N$ units, which exchange a conserved quantity $x$ according to some given stochastic rule, from some standard kinetic model of condensed matter physics to the kinetic exchange…

Statistical Mechanics · Physics 2016-10-12 Marco Patriarca , Els Heinsalu , Amrita Singh , Anirban Chakraborti

We review some aspects, especially those we can tackle analytically, of a minimal model of closed economy analogous to the kinetic theory model of ideal gases where the agents exchange wealth amongst themselves such that the total wealth is…

Physics and Society · Physics 2010-10-27 Mehdi Lallouache , Aymen Jedidi , Anirban Chakraborti

We investigate the detailed dynamics of gains and losses made by agents in some kinetic models of wealth exchange. The concept of a walk in an abstract gain-loss space for the agents had been introduced in an earlier work. For models in…

Physics and Society · Physics 2013-05-29 Sanchari Goswami , Arnab Chatterjee , Parongama Sen

We develop a model of the behaviour of a dynamically optimizing economic agent who makes consumption-saving and spatial relocation decisions. We formulate an existence result for the model, derive the necessary conditions for optimality and…

Optimization and Control · Mathematics 2007-05-23 Iordan Iordanov , Andrey Vassilev

This paper presents a pioneering approach for simulation of economic activity, policy implementation, and pricing of goods in token economies. The paper proposes a formal analysis framework for wealth distribution analysis and simulation of…

General Finance · Quantitative Finance 2024-01-17 Rem Sadykhov , Geoffrey Goodell , Denis de Montigny , Martin Schoernig , Philip Treleaven

Owing to the analogies between the problem of wealth redistribution with taxation in a multi-agent society, we introduce and discuss a kinetic model describing the statistical distributions in time of the sizes of groups of biological…

Populations and Evolution · Quantitative Biology 2023-11-15 Giuseppe Toscani , Mattia Zanella

We consider a new approach to the description of the collective behavior of complex systems of mathematical biology based on the evolution equations for observables of such systems. This representation of the kinetic evolution seems, in…

Soft Condensed Matter · Physics 2020-07-07 V. I. Gerasimenko

Some general features of kinetic multi-agent models are reviewed, with particular attention to the relation between the agent saving propensities and the form of the equilibrium wealth distribution. The effect of a finite cutoff of the…

Physics and Society · Physics 2013-03-19 Marco Patriarca , Anirban Chakraborti , Guido Germano

We examine the statistical properties of a closed monetary economy with multi-aggregates interactions. Building upon Yakovenko's single-agent monetary model (Dragulescu and Yakovenko, 2000), we investigate the joint equilibrium distribution…

Theoretical Economics · Economics 2024-01-19 Andrea Monaco , Matteo Ghio , Adamaria Perrotta

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…

Trading and Market Microstructure · Quantitative Finance 2008-12-16 Andy Kirou , Blazej Ruszczycki , Markus Walser , Neil F. Johnson

We present a detailed numerical analysis of the modified version of a conservative self-organized extremal model introduced by Pianegonda et. al. for the distribution of wealth of the people in a society. Here the trading process has been…

General Finance · Quantitative Finance 2015-05-30 Abhijit Chakraborty , G. Mukherjee , S. S. Manna

We study an agent-based model of evolution of wealth distribution in a macro-economic system. The evolution is driven by multiplicative stochastic fluctuations governed by the law of proportionate growth and interactions between agents. We…

Physics and Society · Physics 2019-11-22 Zdzislaw Burda , Pawel Wojcieszak , Konrad Zuchniak

We propose a stochastic model of evolution of wealth in a society of economic agents. In the model, an agent can be in two states: inactive and active. Transitions between the states occur at random time intervals. In the active state, the…

Physics and Society · Physics 2007-05-23 Indrani Bose , Subhasis Banerjee

In the last decade, a large body of literature has been developed to explain the universal features of inequality in terms of income and wealth. By now, it is established that the distributions of income and wealth in various economies show…

General Finance · Quantitative Finance 2016-11-25 Anindya S. Chakrabarti , Bikas K. Chakrabarti

Various multi-agent models of wealth distributions defined by microscopic laws regulating the trades, with or without a saving criterion, are reviewed. We discuss and clarify the equilibrium properties of the model with constant global…

Physics and Society · Physics 2013-03-19 Marco Patriarca , Anirban Chakraborti , Kimmo Kaski , Guido Germano

We present a model in which we investigate the structure and evolution of a random network that connects agents capable of exchanging wealth. Economic interactions between neighbors can occur only if the difference between their wealth is…

Physics and Society · Physics 2015-06-19 A. Agreda , K. Tucci

Our computational economic analysis investigates the relationship between inequality, mobility and the financial accumulation process. Extending the baseline model by Levy et al., we characterise the economic process through stylised return…

General Economics · Economics 2020-02-20 Simone Righi , Yuri Biondi

We study an interacting agent model of a game-theoretical economy. The agents play a minority-subsequently-majority game and they learn, using backpropagation networks, to obtain higher payoffs. We study the relevance of heterogeneity to…

Condensed Matter · Physics 2007-05-23 Wan Ahmad Tajuddin Wan Abdullah

In any ecosystem, the conditions of the environment and the characteristics of the species that inhabit it are entangled, co-evolving in space and time. We introduce a model that couples active agents with a dynamic environment, interpreted…

Populations and Evolution · Quantitative Biology 2025-12-10 G. Briozzo , G. J. Sibona , F. Peruani
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