IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0151390.html
   My bibliography  Save this article

Relationship between the Uncompensated Price Elasticity and the Income Elasticity of Demand under Conditions of Additive Preferences

Author

Listed:
  • Lorenzo Sabatelli

Abstract

Income and price elasticity of demand quantify the responsiveness of markets to changes in income and in prices, respectively. Under the assumptions of utility maximization and preference independence (additive preferences), mathematical relationships between income elasticity values and the uncompensated own and cross price elasticity of demand are here derived using the differential approach to demand analysis. Key parameters are: the elasticity of the marginal utility of income, and the average budget share. The proposed method can be used to forecast the direct and indirect impact of price changes and of financial instruments of policy using available estimates of the income elasticity of demand.

Suggested Citation

  • Lorenzo Sabatelli, 2016. "Relationship between the Uncompensated Price Elasticity and the Income Elasticity of Demand under Conditions of Additive Preferences," PLOS ONE, Public Library of Science, vol. 11(3), pages 1-11, March.
  • Handle: RePEc:plo:pone00:0151390
    DOI: 10.1371/journal.pone.0151390
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0151390
    Download Restriction: no

    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0151390&type=printable
    Download Restriction: no

    File URL: https://libkey.io/10.1371/journal.pone.0151390?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
    ---><---

    References listed on IDEAS

    as
    1. Jack L. Knetsch & J. A. Sinden, 1984. "Willingness to Pay and Compensation Demanded: Experimental Evidence of an Unexpected Disparity in Measures of Value," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 99(3), pages 507-521.
    2. Rexford E. Santerre & John A. Vernon, 2006. "Assessing Consumer Gains from a Drug Price Control Policy in the United States," Southern Economic Journal, John Wiley & Sons, vol. 73(1), pages 233-245, July.
    3. Barnett, William A. & Serletis, Apostolos, 2008. "The Differential Approach to Demand Analysis and the Rotterdam Model," MPRA Paper 12319, University Library of Munich, Germany.
    4. Layard, R. & Mayraz, G. & Nickell, S., 2008. "The marginal utility of income," Journal of Public Economics, Elsevier, vol. 92(8-9), pages 1846-1857, August.
    5. Manning, Willard G, et al, 1987. "Health Insurance and the Demand for Medical Care: Evidence from a Randomized Experiment," American Economic Review, American Economic Association, vol. 77(3), pages 251-277, June.
    6. Seale, James L., Jr. & Regmi, Anita & Bernstein, Jason, 2003. "International Evidence On Food Consumption Patterns," Technical Bulletins 33580, United States Department of Agriculture, Economic Research Service.
    7. Seale, James L., Jr. & Regmi, Anita & Bernstein, Jason, 2003. "International Evidence On Food Consumption Patterns," Technical Bulletins 33580, United States Department of Agriculture, Economic Research Service.
    8. Deaton, Angus S & Muellbauer, John, 1980. "An Almost Ideal Demand System," American Economic Review, American Economic Association, vol. 70(3), pages 312-326, June.
    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. Shawn Berry, 2024. "Is the price right? Reconceptualizing price and income elasticity to anticipate price perception issues," Papers 2402.05152, arXiv.org, revised Feb 2024.

    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. Clements, Kenneth W. & Gao, Grace, 2015. "The Rotterdam demand model half a century on," Economic Modelling, Elsevier, vol. 49(C), pages 91-103.
    2. Seale, James L. & Solano, Alexis A., 2012. "The changing demand for energy in rich and poor countries over 25years," Energy Economics, Elsevier, vol. 34(6), pages 1834-1844.
    3. Femenia, Fabienne, 2019. "A Meta-Analysis of the Price and Income Elasticities of Food Demand," German Journal of Agricultural Economics, Humboldt-Universitaet zu Berlin, Department for Agricultural Economics, vol. 68(2), June.
    4. Kamel Elouhichi & Pascal Tillie & Aymeric Ricome & Sergio Gomez-Y-Paloma, 2020. "Modelling Farm-household Livelihoods in Developing Economies: Insights from three country case studies using LSMS-ISA data," JRC Research Reports JRC118822, Joint Research Centre.
    5. Muhammad Rizwan YASEEN & Imran QAISER & Nabeela KOUSAR, 2015. "Comparative analysis of the animal products consumption in developing countries: the case study of the South Asian countries," Agricultural Economics, Czech Academy of Agricultural Sciences, vol. 61(7), pages 332-342.
    6. Okrent, Abigail M. & Alston, Julian M., 2011. "Demand for Food in the United States: A Review of Literature, Evaluation of Previous Estimates, and Presentation of New Estimates of Demand," Monographs, University of California, Davis, Giannini Foundation, number 251908, December.
    7. Widenhorn, Andreas & Salhofer, Klaus, 2014. "Using a Generalized Differenced Demand Model to Estimate Price and Expenditure Elasticities for Milk and Meat in Austria," Journal of International Agricultural Trade and Development, Journal of International Agricultural Trade and Development, vol. 63(2).
    8. Gibson, John & Stillman, Steven & Le, Trinh, 2008. "CPI bias and real living standards in Russia during the transition," Journal of Development Economics, Elsevier, vol. 87(1), pages 140-160, August.
    9. Laura Cornelsen & Mario Mazzocchi & Rosemary Green & Alan D. Dangour & Richard D. Smith, 2016. "Estimating the Relationship between Food Prices and Food Consumption—Methods Matter," Applied Economic Perspectives and Policy, Agricultural and Applied Economics Association, vol. 38(3), pages 546-561.
    10. Mergenthaler, Marcus & Weinberger, Katinka & Qaim, Matin, 2009. "The food system transformation in developing countries: A disaggregate demand analysis for fruits and vegetables in Vietnam," Food Policy, Elsevier, vol. 34(5), pages 426-436, October.
    11. Hugo Valin & Ronald D. Sands & Dominique van der Mensbrugghe & Gerald C. Nelson & Helal Ahammad & Elodie Blanc & Benjamin Bodirsky & Shinichiro Fujimori & Tomoko Hasegawa & Petr Havlik & Edwina Heyhoe, 2014. "The future of food demand: understanding differences in global economic models," Agricultural Economics, International Association of Agricultural Economists, vol. 45(1), pages 51-67, January.
    12. Balié, Jean & Magrini, Emiliano & Morales Opazo, Cristian, 2016. "Cereal price shocks and volatility in Sub-Saharan Africa: What does really matter for farmers' welfare?," DARE Discussion Papers 1607, Georg-August University of Göttingen, Department of Agricultural Economics and Rural Development (DARE).
    13. Femenia, Fabienne & Gohin, Alexandre, 2007. "Estimating price elasticities of food trade functions: How relevant is the gravity approach?," Working Papers 7211, TRADEAG - Agricultural Trade Agreements.
    14. Fade-Aluko, Titilope O. & Sanusi, Rahman A. & Afolami, Carolyn A. & Phillip, Biola B., 2016. "Analysis of Urban Households' Demand for Sweeteners in Ogun State, Nigeria," Nigerian Journal of Agricultural Economics, Nigerian Journal of Agricultural Economics, vol. 6(1), October.
    15. Widenhorn, Andreas & Salhofer, Klaus, 2014. "Using a Generalized Differenced Demand Model to Estimate Price and Expenditure Elasticities for Milk and Meat in Austria," German Journal of Agricultural Economics, Humboldt-Universitaet zu Berlin, Department for Agricultural Economics, vol. 63(02), pages 1-16, June.
    16. Kamel Louhichi & Pascal Tillie & Aymeric Ricome & Sergio Gomez y Paloma, 2020. "Modelling Farm-household Livelihoods in Developing Economies Insights from three country case studies using LSMS-ISA data [Modélisation des moyens de subsistance des ménages agricoles dans les écon," Post-Print hal-02544905, HAL.
    17. Alexandre Gohin & Fabienne Féménia, 2009. "Estimating Price Elasticities of Food Trade Functions: How Relevant is the CES‐based Gravity Approach?," Journal of Agricultural Economics, Wiley Blackwell, vol. 60(2), pages 253-272, June.
    18. Bjelle, Eivind Lekve & Wiebe, Kirsten S. & Többen, Johannes & Tisserant, Alexandre & Ivanova, Diana & Vita, Gibran & Wood, Richard, 2021. "Future changes in consumption: The income effect on greenhouse gas emissions," Energy Economics, Elsevier, vol. 95(C).
    19. Rathnayaka, Shashika D. & Selvanathan, Eliyathamby A. & Selvanathan, Saroja, 2022. "Modelling the consumption patterns in the Asian countries," Economic Analysis and Policy, Elsevier, vol. 74(C), pages 277-296.
    20. Xu, Lei, 2024. "Household Food Waste Patterns: Exploring Categorical Price and Expenditure Elasticities Using a Demand System Approach," 2024 Annual Meeting, July 28-30, New Orleans, LA 343717, Agricultural and Applied Economics Association.

    More about this item

    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:plo:pone00:0151390. 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: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    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.