IDEAS home Printed from https://ideas.repec.org/p/ssb/dispap/930.html
   My bibliography  Save this paper

Marginal compensated effects and the slutsky equation for discrete choice models

Author

Abstract

In many instances the consumer faces choice settings where the alternatives are discrete. Examples include choice between variants of differentiated products, urban transportation modes, residential locations, types of education, etc. So far, a Slutsky equation for discrete choice models has not been derived. In this paper an aggregate Slutsky equation for the discrete case is obtained, which differs in important ways from the corresponding equation in the standard theory of consumer demand. A remarkable feature of the compensated marginal effects in the discrete case is that they are usually not symmetric, as the marginal compensated effects with respect to a price increase versus a price decrease may be different. The description of the analytic formulas is accompanied by several examples of their use: for example, in travel demand and labor supply.

Suggested Citation

  • John K. Dagsvik, 2020. "Marginal compensated effects and the slutsky equation for discrete choice models," Discussion Papers 930, Statistics Norway, Research Department.
    • Handle: RePEc:ssb:dispap:930
    as

    Download full text from publisher

    File URL: https://www.ssb.no/en/forskning/discussion-papers/_attachment/420904?_ts=17207696070
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Dubin, Jeffrey A & McFadden, Daniel L, 1984. "An Econometric Analysis of Residential Electric Appliance Holdings and Consumption," Econometrica, Econometric Society, vol. 52(2), pages 345-362, March.
    2. John K. Dagsvik & Steinar StrØm, 2006. "Sectoral labour supply, choice restrictions and functional form," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(6), pages 803-826, September.
    3. Dagsvik, John K, 1994. "Discrete and Continuous Choice, Max-Stable Processes, and Independence from Irrelevant Attributes," Econometrica, Econometric Society, vol. 62(5), pages 1179-1205, September.
    4. Debopam Bhattacharya, 2015. "Nonparametric Welfare Analysis for Discrete Choice," Econometrica, Econometric Society, vol. 83, pages 617-649, March.
    5. John K. Dagsvik & Anders Karlström, 2005. "Compensating Variation and Hicksian Choice Probabilities in Random Utility Models that are Nonlinear in Income," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(1), pages 57-76.
    6. Debopam Bhattacharya, 2018. "Empirical welfare analysis for discrete choice: Some general results," Quantitative Economics, Econometric Society, vol. 9(2), pages 571-615, July.
    7. Dagsvik, John K. & Strøm, Steinar & Locatelli, Marilena, 2021. "Marginal compensated effects in discrete labor supply models," Journal of choice modelling, Elsevier, vol. 41(C).
    8. Arthur van Soest, 1995. "Structural Models of Family Labor Supply: A Discrete Choice Approach," Journal of Human Resources, University of Wisconsin Press, vol. 30(1), pages 63-88.
    9. Hausman, Jerry A, 1981. "Exact Consumer's Surplus and Deadweight Loss," American Economic Review, American Economic Association, vol. 71(4), pages 662-676, September.
    10. John K. Dagsvik & Marilena Locatelli & Steinar Strøm, 2009. "Tax Reform, Sector‐specific Labor Supply and Welfare Effects," Scandinavian Journal of Economics, Wiley Blackwell, vol. 111(2), pages 299-321, 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. Kuan-Ming Chen & Ning Ding & John A. List & Magne Mogstad, 2020. "Reservation Wages and Workers’ Valuation of Job Flexibility: Evidence from a Natural Field Experiment," Working Papers 2020-124, Becker Friedman Institute for Research In Economics.
    2. Kuan-Ming Chen & Min Ding & John List & Magne Mogstad, 2020. "Reservation Wages and Workers' Valuation of Job Flexibility: Evidence from a Natural Field Experiment," Natural Field Experiments 00715, The Field Experiments Website.

    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. Dagsvik, John K. & Strøm, Steinar & Locatelli, Marilena, 2013. "Compensated Discrete Choice with Particular Reference to Labor Supply," Memorandum 20/2013, Oslo University, Department of Economics.
    2. Dagsvik, John K. & Strøm, Steinar & Locatelli, Marilena, 2021. "Marginal compensated effects in discrete labor supply models," Journal of choice modelling, Elsevier, vol. 41(C).
    3. Rolf Aaberge & Ugo Colombino, 2014. "Labour Supply Models," Contributions to Economic Analysis, in: Handbook of Microsimulation Modelling, volume 127, pages 167-221, Emerald Group Publishing Limited.
    4. Olivier Bargain & André Decoster & Mathias Dolls & Dirk Neumann & Andreas Peichl & Sebastian Siegloch, 2013. "Welfare, labor supply and heterogeneous preferences: evidence for Europe and the US," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 789-817, October.
    5. Sebastiaan Maes & Raghav Malhotra, 2023. "Robust Hicksian Welfare Analysis under Individual Heterogeneity," Papers 2303.01231, arXiv.org, revised Nov 2023.
    6. Ugo Colombino & Nizamul Islam, 2021. "Global and digitalised economy, new labour demand scenarios and optimal tax-transfer reforms," CHILD Working Papers Series 90 JEL Classification: H2, Centre for Household, Income, Labour and Demographic Economics (CHILD) - CCA.
    7. Strom Steinar & Locatelli Marilena & Dagsvik John K., 2013. "Compensated Labor Supply Probabilities and Slutsky Elasticities in Discrete Labor Supply Models," Department of Economics and Statistics Cognetti de Martiis. Working Papers 201308, University of Turin.
    8. Thor O. Thoresen & Zhiyang Jia & Peter J. Lambert, 2013. "Distributional benchmarking in tax policy evaluations," Discussion Papers 765, Statistics Norway, Research Department.
    9. Slavko Bezeredi & Marko Ledić & Ivica Rubil & Ivica Urban, 2019. "Making work pay in Croatia: An ex-ante evaluation of two in-work benefits using miCROmod," International Journal of Microsimulation, International Microsimulation Association, vol. 12(3), pages 28-61.
    10. John K. Dagsvik & Steinar Strom, 2022. "Aggregate marginal costs of public funds," Public Sector Economics, Institute of Public Finance, vol. 46(2), pages 239-260.
    11. Thor O. Thoresen & Zhiyang Jia & Peter J. Lambert, 2016. "Is there More Redistribution Now? A Review of Methods for Evaluating Tax Redistributional Effects," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 72(3), pages 302-333, September.
    12. John K. Dagsvik & Zhiyang Jia, 2006. "Labor Supply as a Choice among Latent Job Opportunities. A Practical Empirical Approach," Discussion Papers 481, Statistics Norway, Research Department.
    13. John K. Dagsvik & Zhiyang Jia, 2016. "Labor Supply as a Choice Among Latent Jobs: Unobserved Heterogeneity and Identification," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 31(3), pages 487-506, April.
    14. Fischer, Benjamin & Jessen, Robin & Steiner, Viktor, 2019. "Work incentives and the cost of redistribution via tax-transfer reforms under constrained labor supply," Discussion Papers 2019/10, Free University Berlin, School of Business & Economics.
    15. John K. Dagsvik & S. Strøm & Marilena Locatelli, 2007. "Evaluation of tax reforms when workers have preferences over job attributes and face latent choice restrictions," CHILD Working Papers wp13_07, CHILD - Centre for Household, Income, Labour and Demographic economics - ITALY.
    16. John K. Dagsvik & Zhiyang Jia, 2014. "Labor supply as a discrete choice among latent jobs: Unobserved heterogeneity and identification," Discussion Papers 786, Statistics Norway, Research Department.
    17. Bart Capéau & Liebrecht De Sadeleer & Sebastiaan Maes & André Decoster, 2020. "Nonparametric welfare analysis for discrete choice: levels and differences of individual and social welfare," Working Papers of Department of Economics, Leuven 674666, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    18. Rolf Aaberge & Ugo Colombino, 2018. "Structural Labour Supply Models and Microsimulation," International Journal of Microsimulation, International Microsimulation Association, vol. 11(1), pages 162-197.
    19. John K. Dagsvik & Zhiyang Jia & Tom Kornstad & Thor O. Thoresen, 2014. "Theoretical And Practical Arguments For Modeling Labor Supply As A Choice Among Latent Jobs," Journal of Economic Surveys, Wiley Blackwell, vol. 28(1), pages 134-151, February.
    20. Jerry A. Hausman & Whitney K. Newey, 2016. "Individual Heterogeneity and Average Welfare," Econometrica, Econometric Society, vol. 84, pages 1225-1248, May.

    More about this item

    Keywords

    Equivalent variation; Compensating variation; Discrete/continuous choice; Slutsky equation; Marginal compensated effects; Price indexes;
    All these keywords.

    JEL classification:

    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

    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:ssb:dispap:930. 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: L Maasø (email available below). General contact details of provider: https://edirc.repec.org/data/ssbgvno.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.