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Standard economic theory uses mathematics as its main means of understanding, and this brings clarity of reasoning and logical power. But there is a drawback: algebraic mathematics restricts economic modeling to what can be expressed only…

General Economics · Economics 2021-04-08 W. Brian Arthur

We provide simple models for the utility function (or psychology) of an actor trading a multitude of goods for money. In this framework, money has no intrinsic consumption value, but is required as a medium of exchange. A collection of such…

Physics and Society · Physics 2026-05-25 Robert S. Farr

Most of the econometric and econophysics models have been borrowed from the statistical physics, and as a cosequence, a new interdisciplinary science called econophysics has emerged. In this paper we planned to extend the analogy between…

General Finance · Quantitative Finance 2008-12-02 Ion Spanulescu , Anca Gheorghiu

The main purpose of this paper is to generalize some recent results obtained by Chilarescu and Manuel Gomez. Essentially, we are trying to study the effect of elasticity of substitution on the parameters of economic growth, based on its two…

Theoretical Economics · Economics 2025-06-04 Constantin Chilarescu

This paper investigates the evolving dynamics of international trade, emphasizing the strategic interplay between competition and cooperation within the global trade network. It argues that competitive advantages - rather than traditional…

General Economics · Economics 2025-11-25 Xingwei Hu

The use of equilibrium models in economics springs from the desire for parsimonious models of economic phenomena that take human reasoning into account. This approach has been the cornerstone of modern economic theory. We explain why this…

General Finance · Quantitative Finance 2008-12-02 J. Doyne Farmer , John Geanakoplos

Many experimental studies report that economics students tend to act more selfishly than students of other disciplines, a finding that received widespread public and professional attention. Two main explanations that the existing literature…

General Economics · Economics 2024-05-08 Avichai Snir , Dudi Levy , Dian Wang , Haipeng Allan Chen , Daniel Levy

Multilateral index numbers are often used to make claims about welfare, such as treating PPPs as cross-country costs of living or real incomes as indicators of living standards. However, such interpretations may not be consistent with the…

General Economics · Economics 2025-12-11 Hubert Wu

This survey (re)introduces reinforcement learning methods to economists. The curse of dimensionality limits how far exact dynamic programming can be effectively applied, forcing us to rely on suitably "small" problems or our ability to…

General Economics · Economics 2026-03-25 Pranjal Rawat

A class of conserved models of wealth distributions are studied where wealth (or money) is assumed to be exchanged between a pair of agents in a population like the elastically colliding molecules of a gas exchanging energy. All sorts of…

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

Econophysics is a new area developed recently by the cooperation between economists, mathematicians and physicists. It's not a tool to predict future prices of stocks and exchange rates. It applies idea, method and models in Statistical…

Soft Condensed Matter · Physics 2007-05-23 Yougui Wang , Jinshan Wu , Zengru Di

This Colloquium reviews statistical models for money, wealth, and income distributions developed in the econophysics literature since the late 1990s. By analogy with the Boltzmann-Gibbs distribution of energy in physics, it is shown that…

Statistical Finance · Quantitative Finance 2009-12-24 Victor M. Yakovenko , J. Barkley Rosser

Welfare maximization in bilateral trade has been extensively studied in recent years. Previous literature obtained incentive-compatible approximation mechanisms only for the private values case. In this paper, we study welfare maximization…

Computer Science and Game Theory · Computer Science 2025-07-01 Shahar Dobzinski , Alon Eden , Kira Goldner , Ariel Shaulker , Thodoris Tsilivis

Involving effects of media, opinion leader and other agents on the opinion of individuals of market society, a trader based model is developed and utilized to simulate price via supply and demand. Pronounced effects are considered with…

Physics and Society · Physics 2009-11-11 Caglar Tuncay

In mainstream neoclassical economics, utility maximization is the only engine of individual action, and the other or the social, if it is modeled for decisions deemed fundamental, it is done as a tacit externality parameter affecting an…

Theoretical Economics · Economics 2026-02-24 Alfio Giarlotta , M. Ali Khan , Angelo Enrico Petralia , Francesco Reito

A generalized view of Duality is offered as a bridge between physical sciences and the more abstract philosophical dimensions bordering on mysticism. To that end several examples of duality are first cited from from conventional physics…

General Physics · Physics 2007-05-23 A. N. Mitra

With the growing attention and investment in recent AI approaches such as large language models, the narrative that the larger the AI system the more valuable, powerful and interesting it is is increasingly seen as common sense. But what is…

Computers and Society · Computer Science 2025-03-04 Gaël Varoquaux , Alexandra Sasha Luccioni , Meredith Whittaker

The mathematisation of the socio-economic sphere, where mathematics actively constructs social reality, presents a challenge for studies on ethics in mathematics and its education. While existing scholarship on ethics in mathematics offers…

History and Overview · Mathematics 2025-10-28 Dennis Müller

Opportunities such as higher education can promote intergenerational mobility, leading individuals to achieve levels of socioeconomic status above that of their parents. We develop a dynamic model for allocating such opportunities in a…

Computers and Society · Computer Science 2021-01-22 Hoda Heidari , Jon Kleinberg

Notions of Darwinian selection have been implicit in economic theory for at least sixty years. Richard Nelson and Sidney Winter have argued that while evolutionary thinking was prevalent in prewar economics, the postwar Neoclassical school…

General Finance · Quantitative Finance 2008-12-02 Philip V. Fellman , Jonathan Vos Post , Roxana Wright , Usha Dasari