IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/10171.html
   My bibliography  Save this paper

Ranking income distributions using the Geometric Mean and a related general measure

Author

Listed:
  • Moore, Robert E.

Abstract

This paper illustrates the usefulness of a generalized welfare measure for ranking income distributions that are unordered by stochastic dominance and illuminates the properties of the measure. Other welfare criteria such as the arithmetic mean and Rawls criteria are special cases of this generalized measure. This generalized welfare measure illustrates that use of these special cases involves a subjective judgment by the observer of the relative importance of equity preference to efficiency preference.

Suggested Citation

  • Moore, Robert E., 1996. "Ranking income distributions using the Geometric Mean and a related general measure," MPRA Paper 10171, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:10171
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/10171/1/MPRA_paper_10171.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Fields, Gary S & Fei, John C H, 1978. "On Inequality Comparisons," Econometrica, Econometric Society, vol. 46(2), pages 303-316, March.
    2. Bishop, John A. & Formby, John P. & Thistle, Paul D., 1991. "Rank dominance and international comparisons of income distributions," European Economic Review, Elsevier, vol. 35(7), pages 1399-1409, October.
    3. Jean, William H, 1980. "The Geometric Mean and Stochastic Dominance," Journal of Finance, American Finance Association, vol. 35(1), pages 151-158, March.
    4. Kakwani, Nanak, 1980. "On a Class of Poverty Measures," Econometrica, Econometric Society, vol. 48(2), pages 437-446, March.
    5. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    6. Basmann, R. L. & Slottje, D. J., 1987. "A new index of income inequality : The B measure," Economics Letters, Elsevier, vol. 24(4), pages 385-389.
    7. Slottje, D. J. & Basmann, R. L. & Nieswiadomy, M., 1989. "On the empirical relationship between several well-known inequality measures," Journal of Econometrics, Elsevier, vol. 42(1), pages 49-66, September.
    8. Kravis, Irving B & Heston, Alan W & Summers, Robert, 1978. "Real GDP per Capita for More Than One Hundred Countries," Economic Journal, Royal Economic Society, vol. 88(350), pages 215-242, June.
    9. Champernowne, D G, 1974. "A Comparison of Measures of Inequality of Income Distribution," Economic Journal, Royal Economic Society, vol. 84(336), pages 787-816, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. José Osvaldo De Sordi & Marco Antonio Conejero & Manuel Meireles, 2016. "Bibliometric indicators in the context of regional repositories: proposing the D-index," Scientometrics, Springer;Akadémiai Kiadó, vol. 107(1), pages 235-258, April.
    2. César Octavio Vargas Téllez, 2009. "Veinte años de estancamiento en la distribución del ingreso de las familias Mexicanas. Un enfoque de microdatos," Ensayos Revista de Economia, Universidad Autonoma de Nuevo Leon, Facultad de Economia, vol. 0(1), pages 81-107, May.
    3. Graham, Mary E. & Hotchkiss, Julie L., 2002. "A Systematic Assessment of Employer Equal Employment Opportunity Efforts as a Means of Reducing the Gender Earnings Gap," MPRA Paper 9310, University Library of Munich, Germany.
    4. Julie L. Hotchkiss & Robert E. Moore, 2007. "Assessing the welfare impact of the 2001 tax reform on dual-earner families," FRB Atlanta Working Paper 2007-27, Federal Reserve Bank of Atlanta.
    5. Lambert, Peter J. & Millimet, Daniel L. & Slottje, Daniel, 2003. "Inequality aversion and the natural rate of subjective inequality," Journal of Public Economics, Elsevier, vol. 87(5-6), pages 1061-1090, May.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Rolf Aaberge, 2009. "Ranking intersecting Lorenz curves," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(2), pages 235-259, August.
    3. Claudio Zoli, 2002. "Inverse stochastic dominance, inequality measurement and Gini indices," Journal of Economics, Springer, vol. 77(1), pages 119-161, December.
    4. Guillermina Jasso, 1982. "Measuring Inequality," Sociological Methods & Research, , vol. 10(3), pages 303-326, February.
    5. Patrick Moyes, 2007. "An extended Gini approach to inequality measurement," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(3), pages 279-303, December.
    6. Ryu, Hang Keun, 2013. "A bottom poor sensitive Gini coefficient and maximum entropy estimation of income distributions," Economics Letters, Elsevier, vol. 118(2), pages 370-374.
    7. Fabio Maccheroni & Pietro Muliere & Claudio Zoli, 2005. "Inverse stochastic orders and generalized Gini functionals," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 529-559.
    8. Reuter & Ulrich, 2004. "The Effects of Intraregional Disparities on Regional Development in China: Inequality Decomposition and Panel-Data Analysis," Econometric Society 2004 Far Eastern Meetings 716, Econometric Society.
    9. Paolo Figini, 2000. "Measuring Inequality: On the Correlation Between Indices," LIS Working papers 229, LIS Cross-National Data Center in Luxembourg.
    10. Andonie, Costel & Kuzmics, Christoph & Rogers, Brian W., 2019. "Efficiency-based measures of inequality," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 60-69.
    11. Francois, Joseph & Rojas-Romagosa, Hugo, 2005. "The Construction and Interpretation of Combined Cross-Section and Time-Series Inequality Datasets," CEPR Discussion Papers 5214, C.E.P.R. Discussion Papers.
    12. Alain Chateauneuf & Patrick Moyes, 2002. "Measuring inequality without the Pigou-Dalton condition," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00156475, HAL.
    13. Alain Chateauneuf & Patrick Moyes, 2005. "Lorenz non-consistent welfare and inequality measurement," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 2(2), pages 61-87, January.
    14. Cockburn, John & Duclos, Jean-Yves & Zabsonré, Agnès, 2014. "Is global social welfare increasing? A critical-level enquiry," Journal of Public Economics, Elsevier, vol. 118(C), pages 151-162.
    15. Gravel, Nicolas & Moyes, Patrick, 2012. "Ethically robust comparisons of bidimensional distributions with an ordinal attribute," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1384-1426.
    16. Morgan Reynolds & Eugene Smolensky, 1977. "Post-Fisc Distributions of Income in 1950, 1961, and 1970," Public Finance Review, , vol. 5(4), pages 419-438, October.
    17. Magdalou, Brice, 2021. "A model of social welfare improving transfers," Journal of Economic Theory, Elsevier, vol. 196(C).
    18. Nicolas Gravel & Brice Magdalou & Patrick Moyes, 2021. "Ranking distributions of an ordinal variable," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(1), pages 33-80, February.
    19. Chateauneuf, Alain & Gajdos, Thibault & Wilthien, Pierre-Henry, 2002. "The Principle of Strong Diminishing Transfer," Journal of Economic Theory, Elsevier, vol. 103(2), pages 311-333, April.
    20. Paul Makdissi & Stéphane Mussard, 2008. "Analyzing the impact of indirect tax reforms on rank-dependent social welfare functions: a positional dominance approach," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 30(3), pages 385-399, April.

    More about this item

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • O5 - Economic Development, Innovation, Technological Change, and Growth - - Economywide Country Studies

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:10171. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.