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How do networks of relationships evolve over time? We analyse a dataset tracking the social interactions of 900 individuals over four years. Despite continuous shifts in individual relationships, the macroscopic structural properties of the…

物理与社会 · 物理学 2025-06-04 Miguel A. González-Casado , Andreia Sofia Teixeira , Angel Sánchez

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…

统计金融 · 定量金融 2023-06-06 Victor M. Yakovenko

We develop a thermodynamic framework for modeling innovation adoption and abandonment dynamics using statistical mechanics. Starting from a mathematical model for an adoption distribution that fits empirically obtained date, we construct a…

物理与社会 · 物理学 2026-04-21 Guilherme S. Y. Giardini , Carlo R. daCunha

An axiomatic approach to macroeconomics based on the mathematical structure of thermodynamics is presented. It deduces relations between aggregate properties of an economy, concerning quantities and flows of goods and money, prices and the…

综合经济学 · 经济学 2025-06-18 N. J. Chater , R. S. MacKay

The present paper studies a large class of temperature dependent probability distributions and shows that entropy and energy can be defined in such a way that these probability distributions are the equilibrium states of a generalized…

统计力学 · 物理学 2015-06-24 Jan Naudts

Far-from-equilibrium phenomena are critical to all natural and engineered systems, and essential to biological processes responsible for life. For over a century and a half, since Carnot, Clausius, Maxwell, Boltzmann, and Gibbs, among many…

统计力学 · 物理学 2023-09-14 Travis Leadbetter , Prashant K. Purohit , Celia Reina

We analyze social and economic systems with a hierarchical structure and show that for such systems, it is possible to construct thermostatistics, based on the intermediate Gentile statistics. We show that in social and economic…

综合金融 · 定量金融 2018-10-17 Sergey A. Rashkovskiy

The recent book by T. Piketty (Capital in the Twenty-First Century) promoted the important issue of wealth inequality. In the last twenty years, physicists and mathematicians developed models to derive the wealth distribution using discrete…

概率论 · 数学 2021-07-19 Bertram Düring , Nicos Georgiou , Enrico Scalas

Social and economic inequality is a plague of the XXI Century. It is continuously widening, as the wealth of a relatively small group increases and, therefore, the rest of the world shares a shrinking fraction of resources. This situation…

综合金融 · 定量金融 2021-02-03 José Roberto Iglesias , Ben-Hur Francisco Cardoso , Sebastián Gonçalves

The received wisdom in statistical mechanics is that isolated systems, when left to themselves, approach equilibrium. But under what circumstances does an equilibrium state exist and an approach to equilibrium take place? In this paper we…

统计力学 · 物理学 2016-06-06 Charlotte Werndl , Roman Frigg

We develop a stochastic equilibrium model for an electricity market with asymmetric renewable energy forecasts. In our setting, market participants optimize their profits using public information about a conditional expectation of energy…

最优化与控制 · 数学 2020-05-26 Vladimir Dvorkin , Jalal Kazempour , Pierre Pinson

We propose a simple semi-discrete spatial model where rents, wages and the density of population in a city can be deduced from free-mobility and equilibrium conditions on the labour and residential housing markets. We prove existence and…

最优化与控制 · 数学 2022-07-27 Yves Achdou , Guillaume Carlier , Quentin Petit , Daniela Tonon

We investigate the dynamics of wealth inequality in an economy where households have positional preferences, with the strength of the positional concern determined endogenously by inequality of wealth distribution in the society. We…

理论经济学 · 经济学 2021-07-02 Kirill Borissov , Nigar Hashimzade

Adam Smith's inquiry into the emergence and stability of the self-organization of the division of labor in commodity production and exchange is considered using statistical equilibrium methods from statistical physics. We develop a…

理论经济学 · 经济学 2024-09-17 Ellis Scharfenaker , Bruno Theodosio , Duncan K. Foley

Although both systems analyzed are described through two theories apparently different (quantum mechanics and game theory) it is shown that both are analogous and thus exactly equivalents. The quantum analogue of the replicator dynamics is…

综合金融 · 定量金融 2016-12-12 Esteban Guevara Hidalgo

This thesis is dedictaed to the study of fluctuation and correlation observables of hadronic equilibrium systems. The statistical hadronization model of high energy physics, in its ideal, i.e. non-interacting, gas approximation will be…

核理论 · 物理学 2010-08-13 Michael Hauer

Granular matter is comprised of a large number of particles whose collective behavior determines macroscopic properties such as flow and mechanical strength. A comprehensive theory of the properties of granular matter, therefore, requires a…

统计力学 · 物理学 2009-11-13 Silke Henkes , Corey S. O'Hern , Bulbul Chakraborty

The method of model averaging has become an important tool to deal with model uncertainty, for example in situations where a large amount of different theories exist, as are common in economics. Model averaging is a natural and formal…

应用统计 · 统计学 2019-02-05 Mark F. J. Steel

This thesis focuses on the applications of mathematical tools and concepts brought from nonequilibrium statistical physics to the modeling of ecological problems. The first part provides a short introduction where the theoretical concepts…

种群与进化 · 定量生物学 2017-01-12 Ricardo Martinez-Garcia

Economy is demanding new models, able to understand and predict the evolution of markets. To this respect, Econophysics offers models of markets as complex systems, that try to comprehend macro-, system-wide states of the economy from the…

交易与市场微观结构 · 定量金融 2015-05-20 Carmen Pellicer-Lostao , Ricardo Lopez-Ruiz