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Measuring inequalities in a multidimensional framework is a challenging problem which is common to most field of science and engineering. Nevertheless, despite the enormous amount of researches illustrating the fields of application of…

Physics and Society · Physics 2025-03-19 Giuseppe Toscani

This paper presents findings from a web-experiment on a representative sample of the French population. It examines the acceptability of the Pigou-Dalton principle of transfers, which posits that transferring income from an individual to a…

General Economics · Economics 2024-11-14 Gaëlle Aymeric , Brice Magdalou

In classification tasks, the long-tailed minority classes usually offer the predictions that are most important. Yet these classes consistently exhibit low accuracies, whereas a few high-performing classes dominate the game. We pursue a…

Machine Learning · Computer Science 2026-03-18 Ruixi Lin

We formulate a flexible micro-to-macro kinetic model which is able to explain the emergence of income profiles out of a whole of individual economic interactions. The model is expressed by a system of several nonlinear differential…

Economics · Quantitative Finance 2016-11-28 Maria Letizia Bertotti , Giovanni Modanese

Given the wealth inequality worldwide, there is an urgent need to identify the mode of wealth exchange through which it arises. To address the research gap regarding models that combine equivalent exchange and redistribution, this study…

Theoretical Economics · Economics 2023-01-26 Takeshi Kato

Gini index is a widely used measure of economic inequality. This article develops a general theory for constructing a confidence interval for Gini index with a specified confidence coefficient and a specified width. Fixed sample size…

Methodology · Statistics 2017-09-21 Bhargab Chattopadhyay , Shyamal Krishna De

We propose a highly schematic economic model in which, in some cases, wage inequalities lead to higher overall social welfare. This is due to the fact that high earners can consume low productivity, non essential products, which allows…

General Economics · Economics 2020-04-22 Jean-Philippe Bouchaud

As Machine Learning grows in popularity across various fields, equity has become a key focus for the AI community. However, fairness-oriented approaches are still underexplored in smart mobility. Addressing this gap, our study investigates…

Systems and Control · Electrical Eng. & Systems 2025-12-15 Matteo Cederle , Luca Vittorio Piron , Marina Ceccon , Federico Chiariotti , Alessandro Fabris , Marco Fabris , Gian Antonio Susto

This work examines the fairness of generative mobility models, addressing the often overlooked dimension of equity in model performance across geographic regions. Predictive models built on crowd flow data are instrumental in understanding…

Machine Learning · Computer Science 2024-11-08 Daniel Wang , Jack McFarland , Afra Mashhadi , Ekin Ugurel

The Gini coefficient is an universally used measurement of income inequality. Intersectoral GDP contributions reveal the economic development of different sectors of the national economy. Linking intersectoral GDP contributions to Gini…

Methodology · Statistics 2024-05-14 Jingcheng Meng , Yimeng Ren , Xuening Zhu , Guanyu Hu

This paper studies a class of rank-based inequality measures built from linear combinations of expected order statistics. The proposed framework unifies several well-known indices, including the classical Gini coefficient, the $m$th Gini…

Statistics Theory · Mathematics 2026-05-05 Roberto Vila , Helton Saulo

We propose a new covariance matrix called Gini covariance matrix (GCM), which is a natural generalization of univariate Gini mean difference (GMD) to the multivariate case. The extension is based on the covariance representation of GMD by…

Methodology · Statistics 2016-10-26 Xin Dang , Hailin Sang , Lauren Weatherall

As a fundraising method, Initial Coin Offering (ICO) has raised billions of dollars for thousands of startups in the past two years. Existing ICO mechanisms place more emphasis on the short-term benefits of maximal fundraising while…

Computer Science and Game Theory · Computer Science 2020-02-27 Mingyu Guo , Zhenghui Wang , Yuko Sakurai

The aim of this paper is to establish the asymptotic behavior of the mutual influence of the Gini index and the poverty measures by using the Gaussian fields described in Mergane and Lo(2013). The results are given as representation…

Methodology · Statistics 2017-05-29 Gane Samb Lo , Pape Djiby Mergane , Tchilabalo Abozou Kpanzou

We demonstrate that Gini coefficients can be used as unified metrics to evaluate many-versus-many (all-to-all) similarity in vector spaces. Our analysis of various image datasets shows that images with the highest Gini coefficients tend to…

Artificial Intelligence · Computer Science 2024-11-13 Ben Fauber

To gain insights into the problem of regional inequality, we proposed new regional asset exchange models based on existing kinetic income-exchange models in economic physics. We did this by setting the spatial exchange range and adding bias…

Physics and Society · Physics 2020-07-27 Takeshi Kato , Yasuyuki Kudo , Hiroyuki Mizuno , Yoshinori Hiroi

The majority of online marketplaces offer promotion programs to sellers to acquire additional customers for their products. These programs typically allow sellers to allocate advertising budgets to promote their products, with higher…

Computer Science and Game Theory · Computer Science 2025-02-05 Anastasiia Soboleva , Alexander Ledovsky , Yuriy Dorn , Egor Samosvat , Andrey Tikhanov , Fyodor Prazdnikov

Measuring inequality of opportunities has long been a challenging and open problem, primarily due to the limitations associated with individual-level data. In this study, we utilize data obtained from vehicle license plates in a…

General Economics · Economics 2025-01-08 Nina Xiaochun Sun , Zaifang He , Yi Pang

For the comparison of inequality and welfare in multiple attributes the use of generalized Gini indices is proposed. Individual endowment vectors are summarized by using attribute weights and aggregated in a spectral social evaluation…

Applications · Statistics 2022-11-10 Karl Mosler

Redistribution of resources within a group as a method to reduce wealth inequality is a current area of debate. The evolutionary path to or away from wealth sharing is also a subject of active research. In order to investigate effects and…

Physics and Society · Physics 2023-05-30 John C. Stevenson