Additivity and the entropy concept: An axiomatic approach to inequality measurement
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Generalized entropy satisfies anonymity, population-invariance, the Pigou-Dalton transfer principle, zero-normalization, subgroup decomposability, and scale-invariance.
“Generalized entropy satisfies the earlier properties of anonymity, population-invariance, the Pigou-Dalton transfer principle, and zero-normalization.Further it is subgroup decomposable [10], and also scale-invariant.”
From A Unified Approach to Quantifying Algorithmic Unfairness: Measuring Individual &Group Unfairness via Inequality Indices (2018) · cites this paper as [10]
Generalized entropy indices have subgroup decomposability: for any division of the population into non-overlapping groups, the unfairness measure over the entire population can be decomposed as the sum of a between-group unfairness component and a within-group unfairness component.
“Further it is subgroup decomposable [10], and also scale-invariant.”
From A Unified Approach to Quantifying Algorithmic Unfairness: Measuring Individual &Group Unfairness via Inequality Indices (2018) · cites this paper as [10]
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- Authors
- Cowell, F. A., & Kuga, K.
- Affiliations
- London School of Economics and Political Science (GB)
- The University of Osaka (JP)
- ORCID
- Cowell, Frank A
- Venue
- Journal of Economic Theory
- Publisher
- Elsevier BV
- Published
- 1981-08
- Volume
- 25
- Issue
- 1
- Pages
- 131-143
- ISSN
- 0022-0531 (ISSN-L)
- OpenAlex
- W2072060617
- Cited by
- 250
- References
- 13
- Citations by year
- 2026: 4 · 2025: 7 · 2024: 3 · 2023: 3 · 2022: 29 · 2021: 7 · 2020: 3 · 2019: 6 · 2018: 10 · 2017: 4 · 2016: 7 · 2015: 9 · 2013: 7 · 2012: 3
- FWCI
- 2.91
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Economic Theory (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Statistical Mechanics and Entropy
- Social Sciences › Economics, Econometrics and Finance › Economics and Econometrics › Complex Systems and Time Series Analysis
- Social Sciences › Sociology and Political Science › Income, Poverty, and Inequality
- Keywords
- inequality measurement, entropy additivity, kinetic exchange models, heterogeneous agents, power-law tails, generalized gamma distribution, κ-deformation, wealth distribution
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