IDEAS home Printed from https://ideas.repec.org/p/tul/wpaper/1720.html
   My bibliography  Save this paper

Measuring Directional Mobility: The Bartholomew and Prais-Bibby Indices Reconsidered

Author

Listed:
  • Satya R. Chakravarty

    (Economic Research Unit, Indian Statistical Institute)

  • Nachiketa Chattopadhyay

    (Statistics and Mathematics Division, Indian Statistical Institute)

  • Nora Lustig

    (Department of Economics, Tulane University)

  • Rodrigo Aranda Balcazar

    (Department of Economics, Tulane University)

Abstract

This paper tries to interpret the Bartholomew (1967) index of social mobility in terms of a directional mobility index based on the one-step expected states of movement corresponding to a transition matrix. A partial ordering of monotone transition matrices is proposed using the generalized Lorenz ordering of expected states which can be related to social improvement in terms of the socio-economic attribute under consideration. We also interpret the Prais(1955)-Bibby (1975) mobility index using a Bayesian approach, where the underlying mobility depends on the initial distribution of the states.

Suggested Citation

  • Satya R. Chakravarty & Nachiketa Chattopadhyay & Nora Lustig & Rodrigo Aranda Balcazar, 2017. "Measuring Directional Mobility: The Bartholomew and Prais-Bibby Indices Reconsidered," Working Papers 1720, Tulane University, Department of Economics.
    • Handle: RePEc:tul:wpaper:1720
    as

    Download full text from publisher

    File URL: http://repec.tulane.edu/RePEc/pdf/tul1720.pdf
    File Function: First Version, December 2017
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Peter Gottschalk & Enrico Spolaore, 2002. "On the Evaluation of Economic Mobility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(1), pages 191-208.
    2. Conlisk, John, 1989. "Ranking mobility matrices," Economics Letters, Elsevier, vol. 29(3), pages 231-235.
    3. John Bibby, 1975. "Methods of measuring mobility," Quality & Quantity: International Journal of Methodology, Springer, vol. 9(2), pages 107-136, June.
    4. Markandya, Anil, 1982. "Intergenerational exchange mobility and economic welfare," European Economic Review, Elsevier, vol. 17(3), pages 307-324.
    5. T. Demuynck & D. Van De Gaer & -, 2010. "Rank Dependent Relative Mobility Measures," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 10/628, Ghent University, Faculty of Economics and Business Administration.
    6. repec:bla:econom:v:68:y:2001:i:272:p:519-37 is not listed on IDEAS
    7. King, Mervyn A, 1983. "An Index of Inequality: With Applications to Horizontal Equity and Social Mobility," Econometrica, Econometric Society, vol. 51(1), pages 99-115, January.
    8. Tapan Mitra & Efe A. Ok, 1998. "The measurement of income mobility: A partial ordering approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(1), pages 77-102.
    9. Kai-yuen Tsui, 2009. "Measurement of income mobility: a re-examination," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(4), pages 629-645, November.
    10. Maasoumi, Esfandiar & Zandvakili, Sourushe, 1986. "A class of generalized measures of mobility with applications," Economics Letters, Elsevier, vol. 22(1), pages 97-102.
    11. Dirk Van De Gaer & Erik Schokkaert & Michel Martinez, 2001. "Three Meanings of Intergenerational Mobility," Economica, London School of Economics and Political Science, vol. 68(272), pages 519-538, November.
    12. Gary Fields, 2010. "Does income mobility equalize longer-term incomes? New measures of an old concept," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 8(4), pages 409-427, December.
    13. Buhong Zheng, 2011. "A new approach to measure socioeconomic inequality in health," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(4), pages 555-577, December.
    14. Shorrocks, A F, 1978. "The Measurement of Mobility," Econometrica, Econometric Society, vol. 46(5), pages 1013-1024, September.
    15. Dardanoni Valentino, 1993. "Measuring Social Mobility," Journal of Economic Theory, Elsevier, vol. 61(2), pages 372-394, December.
    16. D'Agostino, Marcello & Dardanoni, Valentino, 2009. "The measurement of rank mobility," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1783-1803, July.
    17. Dasgupta, Partha & Sen, Amartya & Starrett, David, 1973. "Notes on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 180-187, April.
    18. Fields, Gary S. & Ok, Efe A., 1996. "The Meaning and Measurement of Income Mobility," Journal of Economic Theory, Elsevier, vol. 71(2), pages 349-377, November.
    19. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    20. Shorrocks, Anthony, 1978. "Income inequality and income mobility," Journal of Economic Theory, Elsevier, vol. 19(2), pages 376-393, December.
    21. 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.
    22. Chakravarty, S. R., 1984. "Normative indices for measuring social mobility," Economics Letters, Elsevier, vol. 15(1-2), pages 175-180.
    23. repec:bla:econom:v:50:y:1983:i:197:p:3-17 is not listed on IDEAS
    24. Bossert, Walter, 1990. "An axiomatization of the single-series Ginis," Journal of Economic Theory, Elsevier, vol. 50(1), pages 82-92, February.
    Full references (including those not matched with items on IDEAS)

    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. Joachim Jarreau, 2015. "The Impact of Naturalizations on Job Mobility and Wages: Evidence from France," AMSE Working Papers 1508, Aix-Marseille School of Economics, France.
    2. Markus Jäntti & Stephen P. Jenkins, 2013. "Income Mobility," SOEPpapers on Multidisciplinary Panel Data Research 607, DIW Berlin, The German Socio-Economic Panel (SOEP).
    3. Thomas Demuynck & Dirk Van de gaer, 2012. "Inequality Adjusted Income Growth," Economica, London School of Economics and Political Science, vol. 79(316), pages 747-765, October.
    4. Kai-yuen Tsui, 2009. "Measurement of income mobility: a re-examination," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(4), pages 629-645, November.
    5. C. Schluter & D. Van De Gaer, 2003. "Mobility as distributional difference," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 03/182, Ghent University, Faculty of Economics and Business Administration.
    6. Sanghamitra Bandyopadhyay & Gaston Yalonetzky, 2016. "An individual-based approach to measurement of multiple-period mobility for nominal and ordinal variables," Working Papers 65, Queen Mary, University of London, School of Business and Management, Centre for Globalisation Research.
    7. Yoram Amiel & Michele Bernasconi & Frank Cowell & Valentino Dardanoni, 2015. "Do we value mobility?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(2), pages 231-255, February.
    8. VAN KERM Philippe, 2006. "Comparisons of income mobility profiles," IRISS Working Paper Series 2006-03, IRISS at CEPS/INSTEAD.
    9. Rolf Aaberge & Magne Mogstad, 2009. "On the Measurement of Long-Term Income Inequality and Income Mobility," ICER Working Papers 09-2009, ICER - International Centre for Economic Research.
    10. Chattopadhyay, Nachiketa & Sengupta, Debasis, 2020. "Individual, Structural and Exchange Mobility: Decomposition and Axiom based measures," SocArXiv 8m46u, Center for Open Science.
    11. Peter Gottschalk & Enrico Spolaore, 2002. "On the Evaluation of Economic Mobility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(1), pages 191-208.
    12. D'Agostino, Marcello & Dardanoni, Valentino, 2009. "The measurement of rank mobility," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1783-1803, July.
    13. Yélé Maweki Batana & Jean-Yves Duclos, 2010. "Testing for Mobility Dominance," Cahiers de recherche 1002, CIRPEE.
    14. Mr. Tom Krebs & Mr. Pravin Krishna & Mr. William Maloney, 2013. "Income Mobility and Welfare," IMF Working Papers 2013/024, International Monetary Fund.
    15. C. Schluter & D. Van De Gaer, 2008. "Structural Mobility, Exchange Mobility and Subgroup Consistent Mobility Measurement – US–German Mobility Measurements Revisited," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 08/543, Ghent University, Faculty of Economics and Business Administration.
    16. Roland Benabou & Efe A. Ok, 2000. "Mobility as Progressivity: Ranking Income Processes According to Equality of Opportunity," Working Papers 150, Princeton University, School of Public and International Affairs, Discussion Papers in Economics.
    17. Baochun Peng & Haidong Yuan, 2021. "Dynamic Fairness: Mobility, Inequality, and the Distribution of Prospects," Scandinavian Journal of Economics, Wiley Blackwell, vol. 123(4), pages 1314-1338, October.
    18. repec:cte:werepe:6070 is not listed on IDEAS
    19. Formby, John P. & Smith, W. James & Zheng, Buhong, 2004. "Mobility measurement, transition matrices and statistical inference," Journal of Econometrics, Elsevier, vol. 120(1), pages 181-205, May.
    20. Chiara Gigliarano & Francesco Chelli, 2016. "Measuring inter-temporal intragenerational mobility: an application to the Italian labour market," Quality & Quantity: International Journal of Methodology, Springer, vol. 50(1), pages 89-102, January.
    21. Luis Ayala & Mercedes Sastre, 2004. "Europe vs. the United States: is there a trade-off between mobility and inequality?," Journal of Income Distribution, Ad libros publications inc., vol. 13(1-2), pages 4-4, March-Jun.

    More about this item

    Keywords

    social mobility; intergenerational mobility; monotonicity; Bayesian analysis;
    All these keywords.

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • J62 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Job, Occupational and Intergenerational Mobility; Promotion

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:tul:wpaper:1720. 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: Kerui Geng (email available below). General contact details of provider: https://edirc.repec.org/data/detulus.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.