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A deprivation-based axiomatic characterization of the absolute Bonferroni index of inequality

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  • Satya Chakravarty

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  • Satya Chakravarty, 2007. "A deprivation-based axiomatic characterization of the absolute Bonferroni index of inequality," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(3), pages 339-351, December.
    • Handle: RePEc:kap:jecinq:v:5:y:2007:i:3:p:339-351
    DOI: 10.1007/s10888-006-9054-4
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    9. Claudio Zoli, 1999. "Intersecting generalized Lorenz curves and the Gini index," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(2), pages 183-196.
    10. Chakravarty, Satya R, 1988. "Extended Gini Indices of Inequality," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(1), pages 147-156, February.
    11. Yitzhaki, Shlomo, 1983. "On an Extension of the Gini Inequality Index," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(3), pages 617-628, October.
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    16. Blackorby, Charles & Donaldson, David, 1980. "A Theoretical Treatment of Indices of Absolute Inequality," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(1), pages 107-136, February.
    17. Aaberge, Rolf, 2001. "Axiomatic Characterization of the Gini Coefficient and Lorenz Curve Orderings," Journal of Economic Theory, Elsevier, vol. 101(1), pages 115-132, November.
    18. Z. M. Berrebi & Jacques Silber, 1985. "Income Inequality Indices and Deprivation: A Generalization," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 100(3), pages 807-810.
    19. Frank Cowell & Udo Ebert, 2004. "Complaints and inequality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 23(1), pages 71-89, August.
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    24. Walter Bossert & Conchita D’Ambrosio, 2007. "Dynamic Measures of Individual Deprivation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(1), pages 77-88, January.
    25. Satya R. Chakravarty & Pietro Muliere, 2003. "Welfare indicators: A review and new perspectives. 1. Measurement of inequality," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 457-497.
    26. Rosen, Sherwin, 1984. "The Relative Deprivation Curve and Its Applications," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 395-397, October.
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    29. Chakravarty, Satya R. & Dutta, Bhaskar, 1990. "Migration and welfare," European Journal of Political Economy, Elsevier, vol. 6(1), pages 119-138, August.
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    31. Shlomo Yitzhaki, 1979. "Relative Deprivation and the Gini Coefficient," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(2), pages 321-324.
    32. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    33. Blackorby, Charles & Donaldson, David, 1978. "Measures of relative equality and their meaning in terms of social welfare," Journal of Economic Theory, Elsevier, vol. 18(1), pages 59-80, June.
    34. You-qiang Wang & Kai-yuen Tsui, 2000. "A new class of deprivation-based generalized Gini indices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 16(2), pages 363-377.
    35. Rolf Aaberge, 2000. "Characterizations of Lorenz curves and income distributions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(4), pages 639-653.
    36. Giovanni Maria Giorgi & Michele Crescenzi, 2001. "A proposal of poverty measures based on the Bonferroni inequality index," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3-4), pages 3-16.
    37. repec:bla:econom:v:70:y:2003:i:278:p:197-221 is not listed on IDEAS
    38. John D. Hey & Peter J. Lambert, 1980. "Relative Deprivation and the Gini Coefficient: Comment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 95(3), pages 567-573.
    39. Giovanni Maria Giorgi & Riccardo Mondani, 2005. "Sampling distribution of the Bonferroni inequality index from exponential population," Econometrics 0507008, University Library of Munich, Germany.
    40. Kakwani, Nanak, 1980. "On a Class of Poverty Measures," Econometrica, Econometric Society, vol. 48(2), pages 437-446, March.
    41. Yaari, Menahem E., 1988. "A controversial proposal concerning inequality measurement," Journal of Economic Theory, Elsevier, vol. 44(2), pages 381-397, April.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Lanlin Ding & Andrew M. Jones & Peng Nie, 2022. "Ex ante Inequality of Opportunity in Health among the Elderly in China: A Distributional Decomposition Analysis of Biomarkers," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 68(4), pages 922-950, December.
    2. Monti Maria Giovanna & Pellegrino Simone & Vernizzi Achille, 2024. "The Zenga Index Reveals More Than the Gini and the Bonferroni Indexes. An Analysis of Distributional Changes and Social Welfare Levels," Working papers 084, Department of Economics, Social Studies, Applied Mathematics and Statistics (Dipartimento di Scienze Economico-Sociali e Matematico-Statistiche), University of Torino.
    3. repec:ebl:ecbull:v:30:y:2010:i:1:p:421-428 is not listed on IDEAS
    4. Satya R. Chakravarty & Palash Sarkar, 2023. "New perspectives on the Gini and Bonferroni indices of inequality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 47-64, January.
    5. Giovanni M. Giorgi & Alessio Guandalini, 2018. "Decomposing the Bonferroni Inequality Index by Subgroups: Shapley Value and Balance of Inequality," Econometrics, MDPI, vol. 6(2), pages 1-16, April.
    6. Jacques Silber & Hyun Son, 2010. "On the link between the Bonferroni index and the measurement of inclusive growth," Economics Bulletin, AccessEcon, vol. 30(1), pages 421-428.
    7. Lidia Ceriani & Chiara Gigliarano, 2015. "An Inter-temporal Relative Deprivation Index," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 124(2), pages 427-443, November.
    8. S Subramanian, 2023. "Using the zeta function to explain 'downside' and 'upside' inequality aversion," Economics Bulletin, AccessEcon, vol. 43(1), pages 8-17.
    9. Greselin, Francesca & Zitikis, Ricardas, 2015. "Measuring economic inequality and risk: a unifying approach based on personal gambles, societal preferences and references," MPRA Paper 65892, University Library of Munich, Germany.
    10. Oihana Aristondo & José Luis García-Lapres & Casilda Lasso de la Vega & Ricardo Alberto Marques Pereira, 2012. "Classical inequality indices, welfare functions, and the dual decomposition," Working Papers 253, ECINEQ, Society for the Study of Economic Inequality.
    11. Elena Bárcena-Martin & Jacques Silber, 2013. "On the generalization and decomposition of the Bonferroni index," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 763-787, October.
    12. Mariateresa Ciommi & Chiara Gigliarano & Giovanni Maria Giorgi, 2019. "Bonferroni And De Vergottini Are Back: New Subgroup Decompositions And Bipolarization Measures," Working Papers 439, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    13. Francesca Greselin & Ričardas Zitikis, 2018. "From the Classical Gini Index of Income Inequality to a New Zenga-Type Relative Measure of Risk: A Modeller’s Perspective," Econometrics, MDPI, vol. 6(1), pages 1-20, January.
    14. Yang Wei & Zhouping Li & Yunqiu Dai, 2022. "Unified smoothed jackknife empirical likelihood tests for comparing income inequality indices," Statistical Papers, Springer, vol. 63(5), pages 1415-1475, October.
    15. Luis Imedio-Olmedo & Encarnación Parrado-Gallardo & Elena Bárcena-Martín, 2012. "Income Inequality Indices Interpreted as Measures of Relative Deprivation/Satisfaction," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 109(3), pages 471-491, December.
    16. Sreenivasan Subramanian, 2012. "On a Distance Function-Based Inequality Measure in the Spirit of the Bonferroni and Gini Indices," WIDER Working Paper Series wp-2012-062, World Institute for Development Economic Research (UNU-WIDER).
    17. Ziqing Dong & Yves Tillé & Giovanni M. Giorgi & Alessio Guandalini, 2021. "Linearization and variance estimation of the Bonferroni inequality index," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 184(3), pages 1008-1029, July.
    18. Satya R. Chakravarty, 2009. "Equity and efficiency as components of a social welfare function," International Journal of Economic Theory, The International Society for Economic Theory, vol. 5(2), pages 181-199, June.
    19. Edward Anderson & Lucio Esposito, 2014. "On the joint evaluation of absolute and relative deprivation," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 12(3), pages 411-428, September.
    20. Subramanian, Sreenivasan, 2012. "On a Distance Function-Based Inequality Measure in the Spirit of the Bonferroni and Gini Indices," WIDER Working Paper Series 062, World Institute for Development Economic Research (UNU-WIDER).
    21. Satya R. Chakravarty & Palash Sarkar, 2021. "An inequality paradox: relative versus absolute indices?," METRON, Springer;Sapienza Università di Roma, vol. 79(2), pages 241-254, August.
    22. repec:unu:wpaper:wp2012-62 is not listed on IDEAS

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    More about this item

    Keywords

    inequality; Bonferroni index; welfare; transfers; depression; characterization; C43; D31; D63; O15;
    All these keywords.

    JEL classification:

    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • O15 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Economic Development: Human Resources; Human Development; Income Distribution; Migration

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