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This is a review on entropy in various fields of mathematics and science. Its scope is to convey a unified vision of the classical as well as some newer entropy notions to a broad audience with an intermediate background in dynamical…

Dynamical Systems · Mathematics 2022-02-08 José M. Amigó , Karsten Keller , Valentina Unakafova

We believe that economists have much to learn from educational research practices and related pedagogical innovations in other disciplines, in particular physics education. In this paper we identify three key features of physics education…

Physics Education · Physics 2008-07-23 Scott P. Simkins , Mark H. Maier

We propose a field-theoretic framework that models money-debt dynamics in economic systems through a direct analogy to particle-hole creation in condensed matter physics. In this formulation, issuing credit generates a symmetric pair-money…

General Economics · Economics 2025-04-21 Bumned Soodchomshom

Mounting evidences are being gathered suggesting that income and wealth distribution in various countries or societies follow a robust pattern, close to the Gibbs distribution of energy in an ideal gas in equilibrium, but also deviating…

Physics and Society · Physics 2008-12-02 Arnab Chatterjee , Sitabhra Sinha , Bikas K. Chakrabarti

Growing economic inequalities are observed in several countries throughout the world. Following Pareto, the power-law structure of these inequalities has been the subject of much theoretical and empirical work. But their nonequilibrium…

Physics and Society · Physics 2016-05-30 Matteo Smerlak

The paper discusses the fundamental characteristics distinguishing the natural and social systems from each other. It considers in detail the basic approaches, prospects, and possibilities of constructing mathematical description for social…

Physics and Society · Physics 2015-05-13 Ihor Lubashevsky , Natalia Plawinska

These lectures deal with the problem of inductive inference, that is, the problem of reasoning under conditions of incomplete information. Is there a general method for handling uncertainty? Or, at least, are there rules that could in…

Data Analysis, Statistics and Probability · Physics 2016-09-08 Ariel Caticha

This contribution discusses in what respect Econophysics may be able to contribute to the rebuilding of economics theory. It focuses on aggregation, individual vs collective learning and functional wisdom of the crowds.

Physics and Society · Physics 2017-01-04 Damien Challet

Physics research complements traditional approaches, such as mathematical (stochastic) finance and econometrics in quantitative economics and finance. In the early years of this millennium, we embarked on an interdisciplinary research…

Physics and Society · Physics 2024-03-20 Vygintas Gontis , Aleksejus Kononovicius , Julius Ruseckas

Given entropy's central role in multiple areas of physics and science, one important task is to develop a systematic and unifying approach to defining entropy. Games of chance become a natural candidate for characterising the uncertainty of…

Quantum Physics · Physics 2022-02-23 Sarah Brandsen , Isabelle Jianing Geng , Gilad Gour

There is a long tradition of thinking of thermodynamics, not as a theory of fundamental physics (or even a candidate theory of fundamental physics), but as a theory of how manipulations of a physical system may be used to obtain desired…

History and Philosophy of Physics · Physics 2020-10-28 Wayne C. Myrvold

We trace the initiative by Professor Meghnad Saha to develop a (statistical) physics model of market economy and his search for the mechanism to constrain the entropy maximized width of the income distribution in a society such that the…

General Finance · Quantitative Finance 2019-01-01 Bikas K. Chakrabarti

This work investigates a modified Schelling model within the scope and aims of Social Physics. The main purpose is to see if how the concepts of potential and kinetic energy can be represented within a computational sociological system. A…

Physics and Society · Physics 2023-09-14 George-Rafael Domenikos , Tyler Laurie , Sahar Awaji , Alexander V. Mantzaris

One 'problem' with the 21st century world, particularly the economic and business worlds, is the phenomenal and increasing number of interconnections between economic agents (consumers, firms, banks, markets, national economies). This…

Computational Engineering, Finance, and Science · Computer Science 2012-08-28 Paolo Magrassi

The seriousness of the current crisis urgently demands new economic thinking that breaks the austerity vs. deficit spending circle in economic policy. The core tenet of the paper is that the most important problems that natural and social…

General Finance · Quantitative Finance 2012-08-20 Jaime Gomez-Ramirez

Is the present economic and financial crisis similar to some previous one? It would be so nice to prove that universality laws exist for predicting such rare events under a minimum set of realistic hypotheses. First, I briefly recall…

General Finance · Quantitative Finance 2015-08-17 Marcel Ausloos

I give a highly selective overview of the way statistical mechanics explains the microscopic origins of the time asymmetric evolution of macroscopic systems towards equilibrium and of first order phase transitions in equilibrium. These…

Mathematical Physics · Physics 2009-10-31 Joel L. Lebowitz

Entropy in thermodynamics is an extensive quantity, whereas standard methods in statistical mechanics give rise to a non-extensive expression for the entropy. This discrepancy is often seen as a sign that basic formulas of statistical…

History and Philosophy of Physics · Physics 2012-09-06 Dennis Dieks

The emerging system at the European level can be conceptualized as a pattern of relations among member states that tends to be reproduced despite disturbances in individual trajectories. The Markov property is used as an indicator of…

Data Analysis, Statistics and Probability · Physics 2010-01-26 Loet Leydesdorff , Nienke Oomes

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