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We present and analyze a model for the evolution of the wealth distribution within a heterogeneous economic environment. The model considers a system of rational agents interacting in a game theoretical framework, through fairly general…

General Finance · Quantitative Finance 2015-06-16 Pierre Degond , Jian-Guo Liu , Christian Ringhofer

We study the allocation of indivisible items that form an undirected graph and investigate the worst-case welfare loss when requiring that each agent must receive a connected subgraph. Our focus is on both egalitarian and utilitarian…

Computer Science and Game Theory · Computer Science 2026-01-21 Xiaohui Bei , Alexander Lam , Xinhang Lu , Warut Suksompong

In this editorial guide for the special issue on econophysics, we give a unique review of this young but quickly growing discipline. A suggestive taxonomy of the development is proposed by making a distinction between classical econophysics…

General Finance · Quantitative Finance 2011-07-28 Shu-Heng Chen , Sai-Ping Li

In this paper, we attempt to derive the expression of ensemble average internal energy in long-range interaction complex system. Further, the Shannon entropy hypothesis is used to derive the probability distribution function of energy. It…

Statistical Mechanics · Physics 2019-02-04 Yanxiu Liu , Shenglei Zhang , Liu He , Cheng Xu , Zhifu Huang

The evaluation of the number of ways we can distribute energy among a collection of particles in a system is important in many branches of modern science. In particular, in multiparticle production processes the measurements of particle…

High Energy Physics - Phenomenology · Physics 2021-01-05 Maciej Rybczyński , Zbigniew Włodarczyk

Fair division is typically framed from a centralized perspective. However, in practice resource allocation often occurs via decentralized networks. We study a decentralized variant of fair division inspired by altruistic dynamics observed…

Computer Science and Game Theory · Computer Science 2026-03-02 Joel Miller , Rishi Advani , Ian Kash , Chris Kanich , Lenore Zuck

The kinetic exchange model has gained popularity in the field of statistical mechanics for investigating wealth interaction. Traditionally, kinetic exchange models have been studied without considering preferential interactions. However, in…

Physics and Society · Physics 2023-05-26 Suchismita Banerjee

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 dependence on finite reserves of raw materials and the production of waste are two unsolved problems of the traditional linear economy. Healthcare, as a major sector of any nation, is currently facing them. Hence, in this paper, we…

Robotics · Computer Science 2024-02-09 Federico Zocco , Denis Sleath , Shahin Rahimifard

Reducing wealth inequality and disparity is a global challenge. The economic system is mainly divided into (1) gift and reciprocity, (2) power and redistribution, (3) market exchange, and (4) mutual aid without reciprocal obligations. The…

Theoretical Economics · Economics 2024-05-22 Takeshi Kato

The modeling of complex systems such as ecological or socio-economic systems can be very challenging. Although various modeling approaches exist, they are generally not compatible and mutually consistent, and empirical data often do not…

Physics and Society · Physics 2010-07-19 Dirk Helbing

This paper introduces a novel approach to financial risk analysis that does not rely on traditional price and market data, instead using market news to model assets as distributions over a metric space of risk factors. By representing asset…

Computational Finance · Quantitative Finance 2024-11-01 Marcus Gawronsky , Chun-Sung Huang

General equilibrium equations in economics play the same role with many-body Newtonian equations in physics. Accordingly, each solution of the general equilibrium equations can be regarded as a possible microstate of the economic system.…

General Finance · Quantitative Finance 2015-06-18 Yong Tao

This paper presents an assessment of global economic energy potentials for all major natural energy resources. This work is based on both an extensive literature review and calculations using natural resource assessment data. Economic…

Dynamical Systems · Mathematics 2015-03-20 J. F. Mercure , P. Salas

At very small scales, thermodynamic energy exchanges like work and heat become comparable to thermal energy of the system, which leads to unusual phenomena like the transient violations of Second Law. We explore the generic characters of…

Statistical Mechanics · Physics 2019-06-25 Sourabh Lahiri , Arun M Jayannavar

In this article we present an alternative model for the distribution of household incomes in the United States. We provide arguments from two differing perspectives which both yield the proposed income distribution curve, and then fit this…

General Finance · Quantitative Finance 2016-04-20 Costas Efthimiou , Adam Wearne

In the last years new interdisciplinary approaches to economics and social science have been developed. A Thermodynamic approach to socio-economics has brought to a new interdisciplinary scientific field called econophysics. Why…

Physics and Society · Physics 2016-10-26 S. Ripandelli , U. Lucia

Single particle models are sufficient for many topics in introductory physics courses, but become misleading when applied to situations involving changes in internal energy. This paper merges two parallel attempts to reform the teaching of…

Physics Education · Physics 2007-06-29 Matthew L. Greenwolfe

Based on the observation that many existing discrete choice models admit a welfare function of utilities whose gradient gives the choice probability vector, we propose a new representation of discrete choice model which we call the…

Optimization and Control · Mathematics 2015-03-09 Guiyun Feng , Xiaobo Li , Zizhuo Wang

The paper present one of attempts to apply the thermodynamics laws to economics. Introducing common thermodynamic parameters and considering world economics as a one macrosystem, authors demonstrate the possible consequences of entropy…

Physics and Society · Physics 2008-07-03 A. M. Tishin , O. B. Baklitskaya