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The distribution of money is analysed in connection with the Boltzmann distribution of energy in the degenerate states of molecules. Plots of the population density of income distribution for various countries are well reproduced by a Gamma…

Statistical Mechanics · Physics 2009-11-10 Juan C. Ferrero

Why are human societies unstable? Theories based on the observation of recurring patterns in historical data indicate that economic inequality, as well as social factors are key drivers. So far, models of this phenomenon are more…

Physics and Society · Physics 2025-06-24 Alexander Jochim , Stefan Bornholdt

The first part of this paper is a brief survey of the approaches to economic inequality based on ideas from statistical physics and kinetic theory. These include the Boltzmann kinetic equation, the time-reversal symmetry, the ergodicity…

Physics and Society · Physics 2023-06-06 Danial Ludwig , Victor M. Yakovenko

Socio-economic inequalities are manifested in different aspects of our social life. We discuss various aspects, beginning with the evolutionary and historical origins, and discussing the major issues from the social and economic point of…

Physics and Society · Physics 2016-02-02 Arnab Chatterjee

We study the consequences of job markets' heavy reliance on referrals. Referrals lead to more opportunities for workers to be hired, which lead to better matches and increased productivity, but also disadvantage job-seekers with few or no…

General Economics · Economics 2026-04-10 Lukas Bolte , Nicole Immorlica , Matthew O. Jackson

We study Pareto efficiency in a pure-exchange economy where agents' preferences are represented by risk-averse monetary utilities. These coincide with law-invariant monetary utilities, and they can be shown to correspond to the class of…

Mathematical Finance · Quantitative Finance 2024-08-15 Mario Ghossoub , Michael Boyuan Zhu

Recent literature on computational notions of fairness has been broadly divided into two distinct camps, supporting interventions that address either individual-based or group-based fairness. Rather than privilege a single definition, we…

Computer Science and Game Theory · Computer Science 2017-07-07 Lily Hu , Yiling Chen

Understanding the statistical dynamics of growth and inequality is a fundamental challenge to ecology and society. Recent analyses of wealth and income dynamics in contemporary societies show that economic inequality is very dynamic and…

Physics and Society · Physics 2022-10-19 Jordan T. Kemp , Luis M. A. Bettencourt

We consider concepts and models for measuring inequality in the distribution of resources with a focus on how inequality varies as a function of covariates. Lorenz introduced a device for measuring inequality in the distribution of income…

Statistics Theory · Mathematics 2008-12-02 Rolf Aaberge , Steinar Bjerve , Kjell Doksum

This paper studies how household heterogeneity affects the level and cyclical behavior of the optimal carbon tax in a real economy. We demonstrate that an equity-efficiency trade-off arises due to income inequality and heterogeneity in the…

Theoretical Economics · Economics 2025-03-04 Cristiano Cantore , Giovanni Di Bartolomeo , Francesco Saverio Gaudio

Price of anarchy quantifies the degradation of social welfare in games due to the lack of a centralized authority that can enforce the optimal outcome. At its antipodes, mechanism design studies how to ameliorate these effects by…

Computer Science and Game Theory · Computer Science 2018-02-27 Kurtuluş Gemici , Elias Koutsoupias , Barnabé Monnot , Christos Papadimitriou , Georgios Piliouras

This study examines the relationship between globalization and income inequality, utilizing panel data spanning from 1992 to 2020. Globalization is measured by the World Bank global-link indicators such as FDI, Remittance, Trade Openness,…

General Economics · Economics 2023-02-21 Md Shah Naoaj

Accurately estimating income Pareto exponents is challenging due to limitations in data availability and the applicability of statistical methods. Using tabulated summaries of incomes from tax authorities and a recent estimation method, we…

General Economics · Economics 2022-06-10 Ji Hyung Lee , Yuya Sasaki , Alexis Akira Toda , Yulong Wang

A model based on first-degree family relations network is used to describe the wealth distribution in societies. The network structure is not a-priori introduced in the model, it is generated in parallel with the wealth values through…

Other Condensed Matter · Physics 2009-11-10 R. Coelho , Z. Neda , J. J. Ramasco , M. A. Santos

In financial markets, the order flow, defined as the process assuming value one for buy market orders and minus one for sell market orders, displays a very slowly decaying autocorrelation function. Since orders impact prices, reconciling…

Statistical Finance · Quantitative Finance 2015-06-19 Damian Eduardo Taranto , Giacomo Bormetti , Fabrizio Lillo

We introduce and discuss optimal control strategies for kinetic models for wealth distribution in a simple market economy, acting to minimize the variance of the wealth density among the population. Our analysis is based on a finite time…

Physics and Society · Physics 2018-10-25 Bertram Düring , Lorenzo Pareschi , Giuseppe Toscani

I characterize optimal government policy in a sticky-price economy with different types of consumers and endogenous financial constraints in the banking and entrepreneurial sectors. The competitive equilibrium allocation is constrained…

General Economics · Economics 2025-01-29 Aliaksandr Zaretski

We derive the most probable distribution of resources for a simple society. We find that a probabilistic analysis forbids both too much and too less equity, and selects instead a minimally ordered state. We give the detailed calculations…

Statistical Mechanics · Physics 2008-12-10 Daniel O. Badagnani

The inequality in capital or resource distribution is among the important phenomena observed in populations. The sources of inequality and methods for controlling it are of practical interest. To study this phenomenon, we introduce a model…

Physics and Society · Physics 2022-08-29 Jarosław Adam Miszczak

Bringing fairness to energy resource allocation remains a challenge, due to the complexity of system structures and economic interdependencies among users and system operators' decision-making. The rise of distributed energy resources has…

Computer Science and Game Theory · Computer Science 2024-03-26 Jiayi Li , Matthew Motoki , Baosen Zhang