IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v65y2018i3d10.1007_s00199-017-1037-0.html
   My bibliography  Save this article

Income inequality and price elasticity of market demand: the case of crossing Lorenz curves

Author

Listed:
  • Marat Ibragimov

    (Kazan (Volga Region) Federal University)

  • Rustam Ibragimov

    (Imperial College Business School
    Innopolis University)

  • Paul Kattuman

    (University of Cambridge)

  • Jun Ma

    (University of Cambridge)

Abstract

This paper extends Ibragimov and Ibragimov (Econ Theory 32:579–587, 2007) in which the effect of changes income inequality on the price elasticity of market demand is characterized for the class of income distribution changes occurring through non-intersecting Lorenz curve shifts. We derive sufficient conditions for increase/decrease in price elasticity of market demand, under general changes in income distribution, allowing Lorenz curves to intersect as they shift. We conclude by drawing out implications of different types of tax policy changes for demand elasticity.

Suggested Citation

  • Marat Ibragimov & Rustam Ibragimov & Paul Kattuman & Jun Ma, 2018. "Income inequality and price elasticity of market demand: the case of crossing Lorenz curves," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(3), pages 729-750, May.
  • Handle: RePEc:spr:joecth:v:65:y:2018:i:3:d:10.1007_s00199-017-1037-0
    DOI: 10.1007/s00199-017-1037-0
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00199-017-1037-0
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s00199-017-1037-0?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    2. Anthony B. Atkinson & Thomas Piketty & Emmanuel Saez, 2011. "Top Incomes in the Long Run of History," Journal of Economic Literature, American Economic Association, vol. 49(1), pages 3-71, March.
    3. Davies, James & Hoy, Michael, 1995. "Making Inequality Comparisons When Lorenz Curves Intersect," American Economic Review, American Economic Association, vol. 85(4), pages 980-986, September.
    4. Tuomala, Matti, 1990. "Optimal Income Tax and Redistribution," OUP Catalogue, Oxford University Press, number 9780198286059.
    5. Marat Ibragimov & Rustam Ibragimov, 2007. "Market Demand Elasticity and Income Inequality," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(3), pages 579-587, September.
    6. Anthony F. Shorrocks & James E. Foster, 1987. "Transfer Sensitive Inequality Measures," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(3), pages 485-497.
    7. E. Glen Weyl & Michal Fabinger, 2013. "Pass-Through as an Economic Tool: Principles of Incidence under Imperfect Competition," Journal of Political Economy, University of Chicago Press, vol. 121(3), pages 528-583.
    8. Menezes, C & Geiss, C & Tressler, J, 1980. "Increasing Downside Risk," American Economic Review, American Economic Association, vol. 70(5), pages 921-932, December.
    9. W. Chiu, 2007. "Intersecting Lorenz Curves, the Degree of Downside Inequality Aversion, and Tax Reforms," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 28(3), pages 375-399, April.
    10. Davies, James B. & Hoy, Michael, 2002. "Flat rate taxes and inequality measurement," Journal of Public Economics, Elsevier, vol. 84(1), pages 33-46, April.
    11. Gastwirth, Joseph L, 1971. "A General Definition of the Lorenz Curve," Econometrica, Econometric Society, vol. 39(6), pages 1037-1039, November.
    12. Rustam Ibragimov & Artem Prokhorov, 2017. "Heavy Tails and Copulas:Topics in Dependence Modelling in Economics and Finance," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 9644, December.
    13. J. A. Mirrlees, 1971. "An Exploration in the Theory of Optimum Income Taxation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(2), pages 175-208.
    14. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-326, June.
    15. Ravallion, Martin & Heil, Mark & Jalan, Jyotsna, 2000. "Carbon Emissions and Income Inequality," Oxford Economic Papers, Oxford University Press, vol. 52(4), pages 651-669, October.
    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. John Ogwang & Dennis Obote & Ursula Abwot, 2021. "A Technical Note on New Applications of Lorenz Curves in Business Based on Pareto Principles," International Journal of Applied Economics, Finance and Accounting, Online Academic Press, vol. 9(2), pages 76-81.
    2. James Davies & Michael Hoy & Lin Zhao, 2022. "Revisiting comparisons of income inequality when Lorenz curves intersect," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(1), pages 101-109, January.

    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. Jean‐Pascal Gayant & Nicolas Le Pape, 2017. "Increasing Downside or Outer Risk? The Challenge of Measuring Competitive Imbalance in Closed and Open Leagues," Southern Economic Journal, John Wiley & Sons, vol. 83(3), pages 774-795, January.
    2. W. Henry Chiu, 2021. "Intersecting Lorenz curves and aversion to inverse downside inequality," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 56(3), pages 487-508, April.
    3. 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.
    4. Gayant, Jean-Pascal & Le Pape, Nicolas, 2017. "Increasing Nth degree inequality," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 185-189.
    5. Claudio Zoli, 2002. "Inverse stochastic dominance, inequality measurement and Gini indices," Journal of Economics, Springer, vol. 77(1), pages 119-161, December.
    6. Michel Le Breton & Eugenio Peluso, 2009. "Third-degree stochastic dominance and inequality measurement," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 7(3), pages 249-268, September.
    7. Tommaso Lando & Lucio Bertoli-Barsotti, 2016. "Weak orderings for intersecting Lorenz curves," METRON, Springer;Sapienza Università di Roma, vol. 74(2), pages 177-192, August.
    8. James Davies & Michael Hoy & Lin Zhao, 2022. "Revisiting comparisons of income inequality when Lorenz curves intersect," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 58(1), pages 101-109, January.
    9. Eeckhoudt, Louis & Schlesinger, Harris, 2008. "Changes in risk and the demand for saving," Journal of Monetary Economics, Elsevier, vol. 55(7), pages 1329-1336, October.
    10. Carmen Puerta & Ana Urrutia, 2012. "Lower and upper tail concern and the rank dependent social evaluation functions," Economics Bulletin, AccessEcon, vol. 32(4), pages 3250-3259.
    11. Alain Trannoy & Chantal Lugand, 1992. "L'évolution de l'inégalité des salaires due aux différences de qualification : une étude d'entreprises françaises, de 1976 à 1987," Économie et Prévision, Programme National Persée, vol. 102(1), pages 205-220.
    12. Louis Eeckhoudt & Harris Schlesinger, 2006. "Putting Risk in Its Proper Place," American Economic Review, American Economic Association, vol. 96(1), pages 280-289, March.
    13. Bas (B.) Jacobs & Rick (F.) van der Ploeg, 2017. "Should Pollution Taxes Be Targeted At Income Redistribution?," Tinbergen Institute Discussion Papers 17-070/VI, Tinbergen Institute.
    14. Jacobs, Bas & van der Ploeg, Frederick, 2019. "Redistribution and pollution taxes with non-linear Engel curves," Journal of Environmental Economics and Management, Elsevier, vol. 95(C), pages 198-226.
    15. Thomas Piketty & Emmanuel Saez, 2012. "Optimal Labor Income Taxation," NBER Working Papers 18521, National Bureau of Economic Research, Inc.
    16. Oztek, Abdullah Selim, 2019. "A Characterization for Marginal Income Tax Schedules," MPRA Paper 103046, University Library of Munich, Germany, revised 02 Dec 2019.
    17. Peter Lambert, 2008. "Tony Atkinson's 1973 manuscript “More on the measurement of inequality”," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 6(3), pages 275-276, September.
    18. Louis Kaplow, 2005. "Why measure inequality?," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 3(1), pages 65-79, April.
    19. Lando, Tommaso & Bertoli-Barsotti, Lucio, 2017. "Measuring the citation impact of journals with generalized Lorenz curves," Journal of Informetrics, Elsevier, vol. 11(3), pages 689-703.
    20. Apps, Patricia & Andrienko, Yuri & Rees, Ray, 2012. "Risk and Saving in Two-Person Households: More Scope for Precautionary Saving," IZA Discussion Papers 6824, Institute of Labor Economics (IZA).

    More about this item

    Keywords

    Income distribution; Inequality; Downside inequality aversion; Transfer sensitivity; Market demand elasticity; Direct tax policy;
    All these keywords.

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • 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:spr:joecth:v:65:y:2018:i:3:d:10.1007_s00199-017-1037-0. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.