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The classical Lorenz curve is often used to depict inequality in a population of incomes, and the associated Gini coefficient is relied upon to make comparisons between different countries and other groups. The sample estimates of these…

Statistics Theory · Mathematics 2017-02-01 Luke A. Prendergast , Robert G. Staudte

A customized internet survey experiment is conducted in Japan to examine how individuals' relative income position influences preferences for income redistribution and individual perceptions regarding income tax burden. I first asked…

General Economics · Economics 2021-06-23 Eiji Yamamura

The sustainability of cooperation is crucial for understanding the progress of societies. We study a repeated game in which individuals decide the share of their income to transfer to other group members. A central feature of our model is…

General Economics · Economics 2025-10-31 Pau Juan-Bartroli , Esteban Muñoz-Sobrado

Direct measurements of Gini coefficients by conventional arithmetic calculations are a poor estimator, even if paradoxically, they include the entire population, as because of super-additivity they cannot lend themselves to comparisons…

Statistical Finance · Quantitative Finance 2015-10-19 Nassim Nicholas Taleb

In this paper, we introduce a novel flexible Gini index, referred to as the extended Gini index, which is defined through ordered differences between the $j$th and $k$th order statistics within subsamples of size $m$, for indices satisfying…

Methodology · Statistics 2025-05-06 Roberto Vila , Helton Saulo

We develop an axiomatic framework to evaluate income distributions from the perspective of an opportunity-egalitarian social planner. Building on a formal link with the literature on decision theory under ambiguity, we characterize a class…

Theoretical Economics · Economics 2026-03-31 T. Wienand , B. Magdalou , R. Nock , P. Hufe

We report the numerical results for the steady state income or wealth distribution $P(m)$ and the resulting inequality measures (Gini $g$ and Kolkata $k$ indices) in the kinetic exchange models of market dynamics. We study the variations of…

Physics and Society · Physics 2022-08-08 Sanjukta Paul , Sudip Mukherjee , Bijin Joseph , Asim Ghosh , Bikas K. Chakrabarti

The kinetic exchange model has gained popularity in the field of statistical mechanics for investigating wealth interaction. Traditionally, kinetic exchange models have been studied without considering preferential interactions. However, in…

Physics and Society · Physics 2023-05-26 Suchismita Banerjee

Transfer learning is a key component of modern machine learning, enhancing the performance of target tasks by leveraging diverse data sources. Simultaneously, overparameterized models such as the minimum-$\ell_2$-norm interpolator (MNI) in…

Machine Learning · Statistics 2026-01-19 Yeichan Kim , Ilmun Kim , Seyoung Park

This paper aims to review the different impacts of income inequality drivers on the Gini coefficient, depending on institutional specificities. In this context, we divided the European Union member states in two clusters (the cluster of…

We provide a survey of the Kolkata index of social inequality, focusing in particular on income inequality. Based on the observation that inequality functions (such as the Lorenz function), giving the measures of income or wealth against…

General Economics · Economics 2021-09-29 Suchismita Banerjee , Bikas K. Chakrabarti , Manipushpak Mitra , Suresh Mutuswami

We propose an approach to explain fluctuations in time intervals of financial markets data from the view point of the Gini index. We show the explicit form of the Gini index for a Weibull distribution which is a good candidate to describe…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Naoya Sazuka , Jun-ichi Inoue

We investigate a model of stratified economic interactions between agents when the notion of spatial location is introduced. The agents are placed on a network with near-neighbor connections. Interactions between neighbors can occur only if…

Physics and Society · Physics 2015-05-20 J. L. Herrera , M. G. Cosenza , K. Tucci

Linearization methods are customarily adopted in sampling surveys to obtain approximated variance formulae for estimators of nonlinear functions of finite population totals - such as ratios, correlation coefficients or measures of income…

Methodology · Statistics 2014-02-17 Lucio Barabesi , Giancarlo Diana , Pier Francesco Perri

We analyse the income distributions of cities in France and the scaling of the income of different deciles as a function of the population. We find a significant difference in the scaling exponents for the richer and poorer parts of the…

Physics and Society · Physics 2023-06-06 Nirbhay Patil , Jean-Pierre Nadal , Jean-Philippe Bouchaud

People regularly share items using online social media. However, people's decisions around sharing---who shares what to whom and why---are not well understood. We present a user study involving 87 pairs of Facebook users to understand how…

Human-Computer Interaction · Computer Science 2014-12-04 Amit Sharma , Dan Cosley

Online platforms often have conflicting goals: they face tradeoffs between increasing efficiency and reducing disparities, where the latter may relate to objectives such as the longer-term health of the marketplace or the organization's…

General Economics · Economics 2025-03-05 Susan Athey , Dean Karlan , Emil Palikot , Yuan Yuan

Grouped data in form of income shares have been conventionally used to estimate income inequality due to the lack of availability of individual records. Most prior research on economic inequality relies on lower bounds of inequality…

Applications · Statistics 2018-08-30 Vanesa Jorda , José María Sarabia , Markus Jäntti

We consider a model of socially interacting individuals that make a binary choice in a context of positive additive endogenous externalities. It encompasses as particular cases several models from the sociology and economics literature. We…

Physics and Society · Physics 2007-05-23 Mirta B. Gordon , Jean-Pierre Nadal , Denis Phan , Viktoriya Semeshenko

Medical "Crisis Standards of Care" call for a utilitarian allocation of scarce resources in emergencies, while favoring the worst-off under normal conditions. Inspired by such triage rules, we introduce social welfare functions whose…

Theoretical Economics · Economics 2026-03-31 Federico Echenique , Teddy Mekonnen , M. Bumin Yenmez