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Marginal compensated effects and the slutsky equation for discrete choice models

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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
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    References listed on IDEAS

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    1. Steinar StrØm & John K. Dagsvik, 2006. "Sectoral labour supply, choice restrictions and functional form," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(6), pages 803-826.
    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. 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.
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    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. Debopam Bhattacharya, 2018. "Empirical welfare analysis for discrete choice: Some general results," Quantitative Economics, Econometric Society, vol. 9(2), pages 571-615, July.
    10. Hausman, Jerry A, 1981. "Exact Consumer's Surplus and Deadweight Loss," American Economic Review, American Economic Association, vol. 71(4), pages 662-676, September.
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    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.

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    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

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