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Additivity and the entropy concept: An axiomatic approach to inequality measurement
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“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]
In the citing paper
“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]
Citations
Cites
Foundations of Economic Analysis.
Stigler, G. J., & Samuelson, P. A. (1948) · Journal of the American Statistical Association · doi:10.2307/2280713 · Cited by 4,129
On the measurement of inequality
Atkinson, A. B. (1970) · Journal of Economic Theory · doi:10.1016/0022-0531(70)90039-6 · Cited by 3,945
Foundations of Economic Analysis
Ruist, E., & Samuelson, P. A. (1948) · Ekonomisk Tidskrift · doi:10.2307/3438190 · Cited by 3,039
Economics and Information Theory
Sastry, M. V. R., & Theil, H. (1969) · Econometrica · doi:10.2307/1912805 · Cited by 2,127
The Measurement of the Inequality of Incomes
Dalton, H. (1920) · The Economic Journal · doi:10.2307/2223525 · Cited by 1,488
Kolm, S. (1976) · Journal of Economic Theory · doi:10.1016/0022-0531(76)90037-5 · Cited by 920
Economics and Information Theory
Silver, W. E. (1967) · Journal of the Operational Research Society · doi:10.1057/jors.1967.59 · Cited by 903
Pigou, A. C. (2009) · Medical Entomology and Zoology · Cited by 751
Kolm, S. (1976) · Journal of Economic Theory · doi:10.1016/0022-0531(76)90068-5 · Cited by 397
A Note on Separability in Demand Analysis
Goldman, S. M., & Uzawa, H. (1964) · Econometrica · doi:10.2307/1913043 · Cited by 203
Research works printed but not linked: 1
- Takayama, 1976, Factors governing the inequality of income and money assets distributions in Japan—Shyotoku kinyushisan bunpu no fubyodō to sono yōin, Keizai Kenkyu, 27, 134
Cited by
Sorted by citations
Sen, A. K., & Foster, J. E. (1973) · doi:10.1093/0198281935.001.0001 · Cited by 3,439
Statistical Size Distributions in Economics and Actuarial Sciences
Kleiber, C., & Kotz, S. (2003) · Wiley series in probability and statistics · doi:10.1002/0471457175 · Cited by 1,111
Inequality Decomposition by Population Subgroups
Shorrocks, A. F. (1984) · Econometrica · doi:10.2307/1913511 · Cited by 943
Chapter 2 Measurement of inequality
Cowell, F. A. (2000) · Handbook of income distribution · doi:10.1016/s1574-0056(00)80005-6 · Cited by 720
Self-citationA new approach to the decomposition of the Gini income inequality ratio
Dagum, C. (1997) · Empirical Economics · doi:10.1007/bf01205777 · Cited by 715
On the Structure of Additive Inequality Measures
Cowell, F. (1980) · The Review of Economic Studies · doi:10.2307/2297303 · Cited by 531
Self-citationInequality Decomposition Analysis and the Gini Coefficient Revisited
Lambert, P. J., & Aronson, J. R. (1993) · The Economic Journal · doi:10.2307/2234247 · Cited by 493
Generalized gini inequality indices
Weymark, J. A. (1981) · Mathematical Social Sciences · doi:10.1016/0165-4896(81)90018-4 · Cited by 464
Transfer Sensitive Inequality Measures
Shorrocks, A. F., & Foster, J. E. (1987) · The Review of Economic Studies · doi:10.2307/2297571 · Cited by 412
A New Approach to the Decomposition of the Gini Income Inequality Ratio
Dagum, C. (1998) · Physica-Verlag eBooks · doi:10.1007/978-3-642-51073-1_4 · Cited by 379
Factor Components, Population Subgroups and the Computation of the Gini Index of Inequality
Silber, J. (1989) · The Review of Economics and Statistics · doi:10.2307/1928057 · Cited by 332
Tsui, K. (1999) · Social Choice and Welfare · doi:10.1007/s003550050136 · Cited by 227
Speicher, T., Heidari, H., Grgic-Hlaca, N., Gummadi, K. P., Singla, A., Weller, A., & Zafar, M. B. (2018) · Proceedings of the 24th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining · doi:10.1145/3219819.3220046 · Cited by 207
Cowell, F., & Kuga, K. (1981) · European Economic Review · doi:10.1016/s0014-2921(81)80003-7 · Cited by 186
Self-citationAn axiomatic characterization of the Theil measure of income inequality
Foster, J. E. (1983) · Journal of Economic Theory · doi:10.1016/0022-0531(83)90023-6 · Cited by 178
Aggregation Issues in Inequality Measurement
Shorrocks, A. F. (1988) · Physica-Verlag eBooks · doi:10.1007/978-3-642-52481-3_32 · Cited by 173
THE STRUCTURE OF AMERICAN INCOME INEQUALITY*
Cowell, F. (1984) · Review of Income and Wealth · doi:10.1111/j.1475-4991.1984.tb00556.x · Cited by 164
Self-citationMeasurement of Inequality: An Attempt at Unification and Generalization
Ebert, U. (1988) · Springer eBooks · doi:10.1007/978-3-642-73816-6_4 · Cited by 148
Generalized entropy and the measurement of distributional change
Cowell, F. (1980) · European Economic Review · doi:10.1016/0014-2921(80)90051-3 · Cited by 129
Self-citationA guide to formulating fairness in an optimization model
Chen, V. X., & Hooker, J. (2023) · Annals of Operations Research · doi:10.1007/s10479-023-05264-y · Cited by 139
Cowell, F., & Flachaire, E. (2017) · Economica · doi:10.1111/ecca.12232 · Cited by 107
Self-citationChanges in the Distribution of Individual Earnings in the United States: 1967-1986
Karoly, L. A. (1992) · The Review of Economics and Statistics · doi:10.2307/2109548 · Cited by 103
CALCULATING INCOME DISTRIBUTION INDICES FROM MICRO-DATA
Jenkins, S. P. (1988) · National Tax Journal · doi:10.1086/ntj41788716 · Cited by 100
Reinterpreting between-group inequality
Elbers, C., Lanjouw, P., Mistiaen, J. A., & Özler, B. (2007) · The Journal of Economic Inequality · doi:10.1007/s10888-007-9064-x · Cited by 99
RISING INEQUALITY: TRENDS IN THE DISTRIBUTION OF WEALTH IN INDUSTRIALIZING NEW ENGLAND
Steckel, R. H., & Moehling, C. M. (2001) · The Journal of Economic History · doi:10.1017/s0022050701025086 · Cited by 95
Measurement of inequality: An attempt at unification and generalization
Ebert, U. (1988) · Social Choice and Welfare · doi:10.1007/bf00735758 · Cited by 95
The Redistributive Effects of Tax Benefit Systems in the Enlarged EU
Fuest, C., Niehues, J., & Peichl, A. (2010) · Public Finance Review · doi:10.1177/1091142110373480 · Cited by 87
World income inequality and its components
Theil, H., & Theil, H. (1979) · Economics Letters · doi:10.1016/0165-1765(79)90213-1 · Cited by 83
Poverty, inequality and environmental resources: quantitative analysis of rural householdsPreprint
Cavendish, W. (1999) · RePEc: Research Papers in Economics · Cited by 82
The Estimation and Interpolation of Inequality Measures
Cowell, F., & Mehta, F. (1982) · The Review of Economic Studies · doi:10.2307/2297275 · Cited by 80
Self-citationThe Relativity of Decreasing Inequality Between Countries
Bosmans, K., Decancq, K., & Decoster, A. (2013) · Economica · doi:10.1111/ecca.12059 · Cited by 77
Examining the Multi-Scalar Unevenness of High-Quality Healthcare Resources Distribution in China
Meng, Y., He, S., Wu, D., Zhu, H., & Webster, C. J. (2019) · International Journal of Environmental Research and Public Health · doi:10.3390/ijerph16162813 · Cited by 76
World Income Inequality and its Components
Theil, H. (1992) · Advanced studies in theoretical and applied econometrics · doi:10.1007/978-94-011-2408-9_19 · Cited by 74
‘A Fair Suck of the Sauce Bottle’ or What Do You Mean by Inequality?*
Cowell, F. (1985) · Economic Record · doi:10.1111/j.1475-4932.1985.tb02012.x · Cited by 69
Self-citationA κ-generalized statistical mechanics approach to income analysis
Clementi, F., Gallegati, M., & Kaniadakis, G. (2009) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/2009/02/p02037 · Cited by 63
A model of personal income distribution with application to Italian data
Clementi, F., Gallegati, M., & Kaniadakis, G. (2009) · Empirical Economics · doi:10.1007/s00181-009-0318-2 · Cited by 59
(1973) · Oxford University Press eBooks · doi:10.1093/0198281935.005.0025 · Cited by 63
The decomposition of inequality reconsidered: Weakly decomposable measures
Ebert, U. (2010) · Mathematical Social Sciences · doi:10.1016/j.mathsocsci.2010.05.001 · Cited by 58
The development of international inequality 1960–1985
Theil, H. (1989) · Journal of Econometrics · doi:10.1016/0304-4076(89)90082-1 · Cited by 58
On the Decomposition of Inequality: Partitions into Nonoverlapping Sub-Groups
Ebert, U. (1988) · Physica-Verlag eBooks · doi:10.1007/978-3-642-52481-3_30 · Cited by 55
A new model of income distribution: the κ-generalized distribution
Clementi, F., Gallegati, M., & Kaniadakis, G. (2011) · Journal of Economics · doi:10.1007/s00712-011-0221-0 · Cited by 55
On the measurement of unemployment
Shorrocks, A. F. (2008) · The Journal of Economic Inequality · doi:10.1007/s10888-008-9089-9 · Cited by 53
The Development of International Inequality, 1960–1985
Theil, H. (1992) · Advanced studies in theoretical and applied econometrics · doi:10.1007/978-94-011-2408-9_20 · Cited by 52
Unveiling the Ethics behind Inequality Measurement: Dalton's Contribution to Economics
Atkinson, A. B., & Brandolini, A. (2015) · The Economic Journal · doi:10.1111/ecoj.12225 · Cited by 49
The Variance as a subgroup decomposable measure of inequality
Chakravarty, S. R. (2001) · Social Indicators Research · doi:10.1023/a:1007100330501 · Cited by 47
Income distributions and decomposable divergence measures
Magdalou, B., & Nock, R. (2011) · Journal of Economic Theory · doi:10.1016/j.jet.2011.06.017 · Cited by 47
Whose inflation? A characterization of the CPI plutocratic gap
Ley, E. (2005) · Oxford Economic Papers · doi:10.1093/oep/gpi040 · Cited by 47
Large Sample Properties of Two Inequality Indices
Thistle, P. D. (1990) · Econometrica · doi:10.2307/2938198 · Cited by 44
Fairness measures for decision-making and conflict resolution
Sampat, A. M., & Zavala, V. M. (2019) · Optimization and Engineering · doi:10.1007/s11081-019-09452-3 · Cited by 41
Income inequality and differences in household size
Ebert, U. (1995) · Mathematical Social Sciences · doi:10.1016/0165-4896(94)00779-8 · Cited by 41
Marchetti, S., & Secondi, L. (2022) · Social Indicators Research · doi:10.1007/s11205-021-02875-5 · Cited by 45
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Lambert, P. J., & Decoster, A. (2005) · SSRN Electronic Journal · doi:10.2139/ssrn.809004 · Cited by 40
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Bigman, D. (1996) · American Journal of Agricultural Economics · doi:10.2307/1243793 · Cited by 38
Measuring Inequality: The Axiomatic Approach
Chakravarty, S. R. (1999) · Springer eBooks · doi:10.1007/978-94-011-4413-1_5 · Cited by 37
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Belhadj, B. (2010) · Empirical Economics · doi:10.1007/s00181-010-0368-5 · Cited by 35
κ-generalized models of income and wealth distributions: A survey
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Rosser, J. B. (2016) · The European Physical Journal Special Topics · doi:10.1140/epjst/e2016-60166-y · Cited by 31
The subgroup decomposable intermediate indices of inequality
Chakravarty, S. R., & Tyagarupananda, S. (2008) · Spanish Economic Review · doi:10.1007/s10108-008-9045-7 · Cited by 31
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Wu, X., Perloff, J. M., & Golan, A. (2006) · Review of Income and Wealth · doi:10.1111/j.1475-4991.2006.00185.x · Cited by 30
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Lugo, M. A., & Maasoumi, E. E. (2008) · RePEc: Research Papers in Economics · Cited by 29
Spell incidence, spell duration and the measurement of unemployment
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A Utility-Based Approach to Some Information Measures
Friedman, C. A., Huang, J., & Sandow, S. (2007) · Entropy · doi:10.3390/e9010001 · Cited by 28
Approximating unanimity orderings: An application to Lorenz dominance
Shorrocks, A. F., & Slottje, D. J. (2002) · Journal of Economics · doi:10.1007/bf03052501 · Cited by 28
The geographic distribution of world income, 1950–1990
Theil, H., & Seale, J. L. (1994) · De Economist · doi:10.1007/bf01384464 · Cited by 28
Chakravarty, S. R. (2015) · Economic studies in inequality, social exclusion and well-being · doi:10.1007/978-81-322-2166-1_1 · Cited by 27
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Cowell, F. (2003) · RePEc: Research Papers in Economics · Cited by 26
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Mishra, P., & Parikh, A. (1992) · Review of Income and Wealth · doi:10.1111/j.1475-4991.1992.tb00421.x · Cited by 23
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Josa, I., & Aguado, A. (2020) · Social Indicators Research · doi:10.1007/s11205-020-02268-0 · Cited by 18
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Gil, M. Á., López-Dı́az, M., & López-Garcı́a, H. (1998) · European Journal of Operational Research · doi:10.1016/s0377-2217(97)00252-x · Cited by 13
Wędrowska, E., & Muszyńska, J. (2022) · Entropy · doi:10.3390/e24060773 · Cited by 13
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Ebert, U. (1999) · Canadian Journal of Economics/Revue canadienne d économique · doi:10.2307/136404 · Cited by 11
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Mookodi, L. (2021) · Development Southern Africa · doi:10.1080/0376835x.2021.1912587 · Cited by 10
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Santis, R. A. D. (2001) · International Economic Journal · doi:10.1080/10168730100000040 · Cited by 10
Subramanian, S. (2010) · The Review of Black Political Economy · doi:10.1007/s12114-010-9060-4 · Cited by 10
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Toyoda, T. (1980) · The economic studies quarterly/Economic studies quarterly/Kikan riron keizaigaku · doi:10.11398/economics1950.31.3_207 · Cited by 9
An axiomatic characterization of some measures of unfairness
Promislow, S. D. (1991) · Journal of Economic Theory · doi:10.1016/0022-0531(91)90160-6 · Cited by 9
Anti-poverty effectiveness and efficiency of the Guaranteed Minimum Income Programme in PortugalPreprint
Rodrigues, C. F. (2001) · RePEc: Research Papers in Economics · Cited by 9
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Bosmans, K., Decancq, K., & Decoster, A. (2011) · SSRN Electronic Journal · doi:10.2139/ssrn.1806875 · Cited by 9
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Ley, E. (2002) · RePEc: Research Papers in Economics · Cited by 8
Metadata
- 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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