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The 2008 global financial crisis marked the beginning of a decade dominated by fiscal austerity policies in much of the developed world. This paper presents a qualitative narrative review of an extensive collection of academic literature to…

Physics and Society · Physics 2025-10-14 Ricardo Alonzo Fernández Salguero

This article identifies how scarcity, abundance, and sufficiency influence exchange behavior. Analyzing the mechanisms governing exchange of resources constitutes the foundation of several social-science perspectives. Neoclassical economics…

General Economics · Economics 2020-10-07 Jonas Bååth , Adel Daoud

This paper attempts to find a relationship between agents' risk aversion and inequality of incomes. Specifically, a model is proposed for the evolution in time of surplus/deficit distribution, and the long-time distributions are…

Economics · Quantitative Finance 2016-05-12 Eleonora Perversi , Eugenio Regazzini

The literature on ethics and sustainability in mathematics and its education is increasingly complex and fragmented, potentially leading to communication breakdowns between different scholarly traditions. To address this, the paper…

History and Overview · Mathematics 2025-10-14 Dennis Müller , Maurice Chiodo , Michael Meyer

The article discusses the controversy over infinite growth. It analyzes the two dominant perspectives on economic growth and finds them based on a limited and subjective view of reality. An examination of the principal aspects of economic…

General Economics · Economics 2022-01-25 Gennady Shkliarevsky

This study examines the potential of using math-themed postage stamps in mathematics lessons as a tool to engage students and integrate the subject with history, art, and culture. Since the first mathematical stamps appeared in the early…

History and Overview · Mathematics 2024-12-31 Nataliya M. Ivanova

This is a review article for Encyclopedia of Complexity and System Science, to be published by Springer http://refworks.springer.com/complexity/. The paper reviews statistical models for money, wealth, and income distributions developed in…

Statistical Finance · Quantitative Finance 2023-06-06 Victor M. Yakovenko

This is expanded text of a lecture delivered by the author at the conference "Mat\'eriaux pour l'Histoire des Math\'ematiques au XX\`eme si\`ecle", which took place in Nice in January 1996. The task was to describe one area in the…

Algebraic Geometry · Mathematics 2009-12-21 A. N. Parshin

The aim of this paper is to study the historical evolution of mathematical thinking and its spatial spreading. To do so, we have collected and integrated data from different online academic datasets. In its final stage, the database…

History and Overview · Mathematics 2016-03-22 Floriana Gargiulo , Auguste Caen , Renaud Lambiotte , Timoteo Carletti

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

Inequalities play important roles not only in mathematics, but also in other fields, such as economics and engineering. Even though many results are published on Hermite-Hadamard (H-H) type inequalities, new researcher to this fields often…

Classical Analysis and ODEs · Mathematics 2021-11-23 Ohud Almutairi , Adem Kılıçman

We give a pedagogical introduction to a selection of recently discussed topics in nonequilibrium statistical mechanics, concentrating mostly on formal structures and on general principles. Part I contains an overview of the formalism of…

Mathematical Physics · Physics 2009-11-05 C. Maes , K. Netocny , B. Shergelashvili

In recent years, random matrices have come to play a major role in computational mathematics, but most of the classical areas of random matrix theory remain the province of experts. Over the last decade, with the advent of matrix…

Probability · Mathematics 2015-01-08 Joel A. Tropp

We propose a stochastic map model of economic dynamics. In the last decade, an array of observations in economics has been investigated in the econophysics literature, a major example being the universal features of inequality in terms of…

General Finance · Quantitative Finance 2015-05-27 Anindya S. Chakrabarti

A very brief history of relative valuation in neoclassical finance since 1973 is presented, with attention to core currency issues for emerging economies. Price formation is considered in the context of hierarchical causality, with…

General Finance · Quantitative Finance 2016-02-29 D. L. Wilcox

The field of study of this paper is the analysis of the exchange between two subjects. Circumscribed to the micro dimension, it is however expanded with respect to standard economic theory by introducing both the dimension of power and the…

General Economics · Economics 2019-11-13 Alberto Banterle

This paper gives a short review of the history of statistical physics starting from D. Bernoulli's kinetic theory of gases in the 18th century until the recent new developments in nonequilibrium kinetic theory in the last decades of this…

History and Philosophy of Physics · Physics 2007-05-23 D. Flamm

This Chapter is written for the Festschrift celebrating the 70th birthday of the distinguished economist Duncan Foley from the New School for Social Research in New York. This Chapter reviews applications of statistical physics methods,…

Statistical Finance · Quantitative Finance 2012-05-01 Victor M. Yakovenko

The purpose of this survey is to give a comprehensive introduction to some classes of classical and recent analytic inequalities in Inner Product Spaces.

Functional Analysis · Mathematics 2007-05-23 Sever Silvestru Dragomir

Fair division is the problem of dividing one or several goods amongst two or more agents in a way that satisfies a suitable fairness criterion. These Notes provide a succinct introduction to the field. We cover three main topics. First, we…

Artificial Intelligence · Computer Science 2018-06-13 Ulle Endriss
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