IDEAS home Printed from https://ideas.repec.org/p/mtl/montec/11-2005.html
   My bibliography  Save this paper

Dynamic Measures of Individual Deprivation

Author

Listed:
  • BOSSERT, Walter
  • D’AMBROSIO, Conchita

Abstract

We introduce and axiomatize a one-parameter class of individual deprivation measures. Motivated by a suggestion of Runciman, we modify Yitzhaki’s index by multiplying it by a function that is interpreted as measuring the part of deprivation generated by an agent’s observation that others in its reference group move on to a higher level of income than itself. The parameter reflects the relative weight given to these dynamic considerations, and the standard Yitzhaki index is obtained as a special case. In addition, we characterize more general classes of measures that pay attention to this important dynamic aspect of deprivation.

Suggested Citation

  • BOSSERT, Walter & D’AMBROSIO, Conchita, 2005. "Dynamic Measures of Individual Deprivation," Cahiers de recherche 11-2005, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    • Handle: RePEc:mtl:montec:11-2005
    as

    Download full text from publisher

    File URL: http://www.cireqmontreal.com/wp-content/uploads/cahiers/11-2005-cah.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Conchita D'Ambrosio & Joachim R. Frick, 2004. "Subjective Well-Being and Relative Deprivation: An Empirical Link," Discussion Papers of DIW Berlin 449, DIW Berlin, German Institute for Economic Research.
    2. Paul, Satya, 1991. "An index of relative deprivation," Economics Letters, Elsevier, vol. 36(3), pages 337-341.
    3. Satya R. Chakravarty & Patrick Moyes, 2003. "Individual welfare, social deprivation and income taxation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(4), pages 843-869, June.
    4. Weymark, John A., 1981. "Generalized gini inequality indices," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 409-430, August.
    5. Alain Chateauneuf & Patrick Moyes, 2003. "Does the Lorenz curve really measure inequality?," Post-Print hal-00156712, HAL.
    6. Jean-Yves Duclos, 2000. "Gini Indices and the Redistribution of Income," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 7(2), pages 141-162, March.
    7. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-231, March.
    8. Bossert, Walter & D'Ambrosio, Conchita, 2006. "Reference groups and individual deprivation," Economics Letters, Elsevier, vol. 90(3), pages 421-426, March.
    9. 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.
    10. Kakwani, Nanak, 1984. "The Relative Deprivation Curve and Its Applications," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 384-394, October.
    11. Chakravarty, S. R. & Chakraborty, A. B., 1984. "On indices of relative deprivation," Economics Letters, Elsevier, vol. 14(2-3), pages 283-287.
    12. Donaldson, David & Weymark, John A., 1980. "A single-parameter generalization of the Gini indices of inequality," Journal of Economic Theory, Elsevier, vol. 22(1), pages 67-86, February.
    13. Kakwani, Nanak, 1984. "The Relative Deprivation Curve and Its Applications: Reply," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 400-405, October.
    14. Bossert, Walter, 1990. "An axiomatization of the single-series Ginis," Journal of Economic Theory, Elsevier, vol. 50(1), pages 82-92, February.
    15. 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.
    16. 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.
    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. 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.
    2. Stark, Oded & Bielawski, Jakub & Falniowski, Fryderyk, 2017. "A class of proximity-sensitive measures of relative deprivation," Economics Letters, Elsevier, vol. 160(C), pages 105-110.
    3. Clark, Andrew E. & D'Ambrosio, Conchita, 2014. "Attitudes to Income Inequality: Experimental and Survey Evidence," IZA Discussion Papers 8136, Institute of Labor Economics (IZA).
    4. Conchita D'Ambrosio & Joachim R. Frick, 2012. "Individual Wellbeing in a Dynamic Perspective," Economica, London School of Economics and Political Science, vol. 79(314), pages 284-302, April.
    5. Paul, Satya & Guilbert, Daniel, 2013. "Income–happiness paradox in Australia: Testing the theories of adaptation and social comparison," Economic Modelling, Elsevier, vol. 30(C), pages 900-910.
    6. Walter Bossert & Conchita D’Ambrosio, 2020. "Losing ground in the income hierarchy: relative deprivation revisited," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 18(1), pages 1-12, March.
    7. Amany A. El Anshasy & Mrittika Shamsuddin & Marina-Selini Katsaiti, 2023. "Financial Wellbeing and International Migration Intentions: Evidence from Global Surveys," Journal of Happiness Studies, Springer, vol. 24(7), pages 2261-2289, October.
    8. Alexandre BERTIN & David LEYLE, 2007. "Estimating multidimensional poverty in a developing country. The case of the “Observatoire de Guinée Maritime » Project (In French)," Cahiers du GREThA (2007-2019) 2007-17, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
    9. 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.
    10. Shlomo Yitzhaki & Edna Schechtman, 2005. "The properties of the extended Gini measures of variability and inequality," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 401-433.
    11. Ana I. Moro Egido, 2021. "Social Comparisons; the behavioural component," ThE Papers 21/04, Department of Economic Theory and Economic History of the University of Granada..

    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. Bossert, Walter & D’Ambrosio, Conchita, 2014. "Proximity-sensitive individual deprivation measures," Economics Letters, Elsevier, vol. 122(2), pages 125-128.
    2. Walter Bossert & Conchita D’Ambrosio, 2020. "Losing ground in the income hierarchy: relative deprivation revisited," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 18(1), pages 1-12, March.
    3. 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.
    4. Labeaga, José M. & Molina, José Alberto & Navarro Paniagua, Maria, 2007. "Income Satisfaction and Deprivation in Spain," IZA Discussion Papers 2702, Institute of Labor Economics (IZA).
    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. Conchita D'Ambrosio & Joachim R. Frick, 2004. "Subjective Well-Being and Relative Deprivation: An Empirical Link," Discussion Papers of DIW Berlin 449, DIW Berlin, German Institute for Economic Research.
    7. Alain Chateauneuf & Patrick Moyes, 2002. "Measuring inequality without the Pigou-Dalton condition," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00156475, HAL.
    8. 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.
    9. 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.
    10. Elena Bárcena-Martín & Luis Imedio-Olmedo & Guillermina Martín-Reyes, 2007. "Inequality and deprivation within and between groups: An illustration of European union countries," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(3), pages 323-337, December.
    11. Conchita D’Ambrosio & Joachim Frick, 2007. "Income Satisfaction and Relative Deprivation: An Empirical Link," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 81(3), pages 497-519, May.
    12. Satya R. Chakravarty, 2009. "Deprivation, Inequality And Welfare," The Japanese Economic Review, Japanese Economic Association, vol. 60(2), pages 172-190, June.
    13. Paolo Verme, 2010. "Relative labour deprivation and urban migration in Turkey," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 8(4), pages 391-408, December.
    14. repec:ebl:ecbull:v:3:y:2003:i:19:p:1-16 is not listed on IDEAS
    15. Sorger, Gerhard & Stark, Oded, 2013. "Income redistribution going awry: The reversal power of the concern for relative deprivation," Journal of Economic Behavior & Organization, Elsevier, vol. 86(C), pages 1-9.
    16. Satya Chakravarty & Diganta Mukherjee, 1999. "Measures of Deprivation and their Meaning in Terms of Social Satisfaction," Theory and Decision, Springer, vol. 47(1), pages 89-100, August.
    17. Jean-Yves Duclos & Abdelkrim Araar, 2003. "An Atkinson-Gini family of social evaluation functions," Economics Bulletin, AccessEcon, vol. 3(19), pages 1-16.
    18. Silber, Jacques & Verme, Paolo, 2012. "Relative deprivation, reference groups and the assessment of standard of living," Economic Systems, Elsevier, vol. 36(1), pages 31-45.
    19. Lucio Esposito, 2010. "Upper Boundedness For The Measurement Of Relative Deprivation," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 56(3), pages 632-639, September.
    20. Satya R. Chakravarty & Amita Majumder & Sonali Roy, 2007. "A Treatment Of Absolute Indices Of Polarization," The Japanese Economic Review, Japanese Economic Association, vol. 58(2), pages 273-293, June.
    21. Paolo Verme, 2011. "Two Classes of Generalized Deprivation Indexes," Economics Bulletin, AccessEcon, vol. 31(3), pages 2021-2029.

    More about this item

    Keywords

    deprivation; equity; individual well-being;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

    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:mtl:montec:11-2005. 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: Sharon BREWER (email available below). General contact details of provider: https://edirc.repec.org/data/cdmtlca.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.