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Group fairness metrics are an established way of assessing the fairness of prediction-based decision-making systems. However, these metrics are still insufficiently linked to philosophical theories, and their moral meaning is often unclear.…

Computers and Society · Computer Science 2023-05-03 Joachim Baumann , Corinna Hertweck , Michele Loi , Christoph Heitz

Social inequality manifested across different strata of human existence can be quantified in several ways. Here we compute non-entropic measures of inequality such as Lorenz curve, Gini index and the recently introduced $k$ index…

Physics and Society · Physics 2015-07-17 Jun-ichi Inoue , Asim Ghosh , Arnab Chatterjee , Bikas K. Chakrabarti

There is growing interest in designing recommender systems that aim at being fair towards item producers or their least satisfied users. Inspired by the domain of inequality measurement in economics, this paper explores the use of…

Information Retrieval · Computer Science 2023-03-29 Virginie Do , Nicolas Usunier

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

Many existing fairness metrics measure group-wise demographic disparities in system behavior or model performance. Calculating these metrics requires access to demographic information, which, in industrial settings, is often unavailable. By…

Social and Information Networks · Computer Science 2024-09-13 Avijit Ghosh , Tomo Lazovich , Kristian Lum , Christo Wilson

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

Algorithmic fairness has gained prominence due to societal and regulatory concerns about biases in Machine Learning models. Common group fairness metrics like Equalized Odds for classification or Demographic Parity for both classification…

Machine Learning · Statistics 2023-11-01 François HU , Philipp Ratz , Arthur Charpentier

Across income groups and countries, individual citizens perceive economic inequality spectacularly wrong. These misperceptions have far-reaching consequences, as it is perceived inequality, not actualinequality informing redistributive…

General Economics · Economics 2022-04-05 Jan Schulz , Daniel M. Mayerhoffer , Anna Gebhard

The Gini index is a number that attempts to measure how equitably a resource is distributed throughout a population, and is commonly used in economics as a measurement of inequality of wealth or income. The Gini index is often defined as…

Combinatorics · Mathematics 2020-10-26 Grant Kopitzke

This paper proposes a statistical mechanics approach to the analysis of income distribution and inequality. A new distribution function, having its roots in the framework of k-generalized statistics, is derived that is particularly suitable…

Physics and Society · Physics 2009-02-23 F. Clementi , M. Gallegati , G. Kaniadakis

Scoring systems, as a type of predictive model, have significant advantages in interpretability and transparency and facilitate quick decision-making. As such, scoring systems have been extensively used in a wide variety of industries such…

Machine Learning · Computer Science 2022-11-23 Yi Yang , Ying Wu , Mei Li , Xiangyu Chang , Yong Tan

The allocation of resources among multiple agents is a fundamental problem in both economics and computer science. In these settings, fairness plays a crucial role in ensuring social acceptability and practical implementation of resource…

Computer Science and Game Theory · Computer Science 2025-06-11 Hadi Hosseini , Joshua Kavner , Samarth Khanna , Sujoy Sikdar , Lirong Xia

The argument that the alarming level of Gini coefficient is 0.4 is very popular, especially in the media industry, all around the world for a long time. Although the 0.4 standard is widely accepted, the derivation of the value lacks rigid…

General Finance · Quantitative Finance 2014-09-16 Yong Tao , Xiangjun Wu , Changshuai Li

The Gini index signals only the dispersion of the distribution and is not very sensitive to income differences at the tails of the distribution. The widely used index of inequality can be adjusted to also measure distributional asymmetry by…

Econometrics · Economics 2022-09-15 Mario Schlemmer

This study explores the link between the capital share and income inequality over the past four decades across 56 countries. Calculating the capital share from national accounts alongside top income share data from the World Inequality…

General Economics · Economics 2025-01-07 Oğuzhan Akgün , Ezgi Özsöğüt

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

Income inequality is an important issue that has to be solved in order to make progress in our society. The study of income inequality is well received through the Gini coefficient, which is used to measure degrees of inequality in general.…

General Economics · Economics 2025-06-26 Wanetha Sudswong , Anon Plangprasopchok , Chainarong Amornbunchornvej

PageRank is a widely used algorithm for ranking webpages and plays a significant role in determining web traffic. This study employs the Gini coefficient, a measure of income/wealth inequality, to assess the inequality in PageRank…

Computers and Society · Computer Science 2024-12-30 Subhajit Sahu

Given many popular functional forms for the Lorenz curve do not have a closed-form expression for the Gini index and no study has utilized the observed Gini index to estimate parameter(s) associated with the corresponding parametric…

General Economics · Economics 2022-01-03 Thitithep Sitthiyot , Kanyarat Holasut

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