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Human societies engage in a number of games which use tokens as a means to allocate, issue and access gated resources and property rights: The notion of exchanging tokens that represent and carry value from the past into the future to…

Computer Science and Game Theory · Computer Science 2019-04-02 Viroshan Naicker

In our simplified description `wealth' is money ($m$). A kinetic theory of gas like model of money is investigated where two agents interact (trade) selectively and exchange some amount of money between them so that sum of their money is…

Physics and Society · Physics 2008-12-02 Abhijit Kar Gupta

The statistical mechanics approach to wealth distribution is based on the conservative kinetic multi-agent model for money exchange, where the local interaction rule between the agents is analogous to the elastic particle scattering…

General Finance · Quantitative Finance 2016-06-16 M. Andrecut

Many-body dynamical models in which Boltzmann statistics can be derived directly from the underlying dynamical laws without invoking the fundamental postulates of statistical mechanics are scarce. Interestingly, one such model is found in…

Statistical Mechanics · Physics 2023-11-06 Maggie Miao , Kristian Blom , Dmitrii E. Makarov

This paper develops a nonparametric statistical model of wealth distribution that imposes little structure on the fluctuations of household wealth. In this setting, we use new techniques to obtain a closed-form household-by-household…

Economics · Quantitative Finance 2016-01-19 Ricardo T. Fernholz

Economic systems are similar with physic systems for their large number of individuals and the exist of equilibrium. In this paper, we present a model applying the equilibrium statistical model in economic systems. Consistent with…

General Finance · Quantitative Finance 2015-04-17 Zhiwu Zheng

We study competitive equilibria in exchange economies when a continuum of goods is conflated into a finite set of commodities. The design of conflation choices affects the allocation of scarce resources among agents, by constraining trading…

Theoretical Economics · Economics 2026-03-17 Niccolò Urbinat , Marco LiCalzi

The distribution of wealth among the members of a society is herein assumed to result from two fundamental mechanisms, trade and investment. An empirical distribution of wealth shows an abrupt change between the low-medium range, that may…

Statistical Mechanics · Physics 2008-12-02 Nicola Scafetta , Sergio Picozzi , Bruce J. West

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

The lattice gas automaton (LGA) is proposed for a closed economic market of agents with heterogeneous saving interests. There are two procedures in the standard LGA, i.e., "propagation" + "transaction". If the propagation step is removed…

Physics and Society · Physics 2022-12-29 Lijie Cui , Chuandong Lin

In this work we use an inelastic scattering process of particles to propose a model able to reproduce the salient features of the wealth distribution in an economy by including taxes to each trading process and redistributing that collected…

General Finance · Quantitative Finance 2008-12-02 Sebastian D. Guala

We investigate, at the fundamental level, the questions of `why', `when' and `how' one could or should reach out to poor and vulnerable people to support them in the absence of governmental institutions. We provide a simple and new approach…

General Economics · Economics 2023-07-31 Aziz Guergachi , Javid Hakim

We present a linear agent based model on brand competition. Each agent belongs to one of the two brands and interacts with its nearest neighbors. In the process the agent can decide to change to the other brand if the move is beneficial.…

Physics and Society · Physics 2016-09-08 L. Casillas , F. J. Espinosa , R. Huerta-Quintanilla , M. Rodriguez-Achach

We investigate the repeated averaging model for money exchanges: two agents picked uniformly at random share half of their wealth to each other. It is intuitively convincing that a Dirac distribution of wealth (centered at the initial…

Probability · Mathematics 2021-08-19 Fei Cao

Inspired by Adam Smith and Friedrich Hayek, many economists have postulated the existence of invisible forces that drive economic markets. These market forces interact in complex ways making it difficult to visualize or understand the…

Economics · Quantitative Finance 2015-11-26 Klaus Jaffe

We propose a minimal model for the collective dynamics of opinion formation in the society, by modifying kinetic exchange dynamics studied in the context of income, money or wealth distributions in a society. This model has an intriguing…

Physics and Society · Physics 2010-10-27 Mehdi Lallouache , Anirban Chakraborti , Bikas K. Chakrabarti

We have used agent-based modeling as our numerical method to artificially simulate a dynamic real economy where agents are rational maximizers of an objective function of Cobb-Douglas type. The economy is characterised by heterogeneous…

Theoretical Economics · Economics 2024-01-17 Subhamon Supantha , Naresh Kumar Sharma

Problem solving (e.g., drug design, traffic engineering, software development) by task forces represents a substantial portion of the economy of developed countries. Here we use an agent-based model of cooperative problem solving systems to…

Multiagent Systems · Computer Science 2016-02-23 José F. Fontanari

We develop a formalism to study linearized perturbations around the equilibria of a pure exchange economy. With the use of mean field theory techniques, we derive equations for the flow of products in an economy driven by heterogeneous…

Trading and Market Microstructure · Quantitative Finance 2015-05-13 Samuel E. Vazquez , Simone Severini

Participants in socio-economic systems are often ranked based on their performance. Rankings conveniently reduce the complexity of such systems to ordered lists. Yet, it has been shown in many contexts that those who reach the top are not…

Physics and Society · Physics 2024-01-30 Federica De Domenico , Fabio Caccioli , Giacomo Livan , Guido Montagna , Oreste Nicrosini