IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/hal-00417493.html
   My bibliography  Save this paper

Transition choice probabilities and welfare in ARUM's

Author

Listed:
  • André De Palma

    (ENS Cachan - École normale supérieure - Cachan, Department of Economics, Ecole Polytechnique - X - École polytechnique - CNRS - Centre National de la Recherche Scientifique)

  • Karim Kilani

    (CNAM Paris - Conservatoire National des Arts et Métiers - Paris - CNAM - Conservatoire National des Arts et Métiers [CNAM])

Abstract

We study the descriptive and the normative consequences of price and/or other attributes changes in additive random utility models. We first derive expressions for the transition choice probabilities associated to these changes. A closed-form formula is obtained for the logit. We then use these expressions to compute the cumulative distribution functions of the compensating variation conditional on ex-ante and/or ex-post choices. The unconditional distribution is also provided. The conditional moments of the compensating variation are obtained as a one-dimensional integral of the transition choice probabilities. This framework allows us to derive a stochastic version of Shephard's lemma, which relates the expected conditional compensating variation and the transition choice probabilities. We compute the compensating variation for a simple binary linear in income choice model and show that the information on the transitions leads to better estimates of the compensating variation than those obtained when only ex-ante or ex-post information on individual choices is observed. For the additive in income logit, we compute the conditional distribution of compensating variation, which generalizes the logsum formula. Finally, we derive a new welfare formula for the disaggregated version of the represen- tative consumer CES model.

Suggested Citation

  • André De Palma & Karim Kilani, 2009. "Transition choice probabilities and welfare in ARUM's," Working Papers hal-00417493, HAL.
  • Handle: RePEc:hal:wpaper:hal-00417493
    Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-00417493
    as

    Download full text from publisher

    File URL: https://hal.archives-ouvertes.fr/hal-00417493/document
    Download Restriction: no

    References listed on IDEAS

    as
    1. de Palma, Andre & Kilani, Karim, 2005. "Switching in the logit," Economics Letters, Elsevier, vol. 88(2), pages 196-202, August.
    2. de Jong, Gerard & Daly, Andrew & Pieters, Marits & van der Hoorn, Toon, 2007. "The logsum as an evaluation measure: Review of the literature and new results," Transportation Research Part A: Policy and Practice, Elsevier, vol. 41(9), pages 874-889, November.
    3. de Palma, Andre & Kilani, Karim, 2007. "Invariance of conditional maximum utility," Journal of Economic Theory, Elsevier, vol. 132(1), pages 137-146, January.
    4. von Haefen, Roger H., 2003. "Incorporating observed choice into the construction of welfare measures from random utility models," Journal of Environmental Economics and Management, Elsevier, vol. 45(2), pages 145-165, March.
    5. John K. Dagsvik & Anders Karlström, 2005. "Compensating Variation and Hicksian Choice Probabilities in Random Utility Models that are Nonlinear in Income," Review of Economic Studies, Oxford University Press, vol. 72(1), pages 57-76.
    6. Anderson, Simon P. & De Palma, Andre & Thisse, Jacques-Francois, 1987. "The CES is a discrete choice model?," Economics Letters, Elsevier, vol. 24(2), pages 139-140.
    7. Daniel McFadden, 2005. "Revealed stochastic preference: a synthesis," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(2), pages 245-264, August.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Additive random utility models (ARUM); Logit; Transition choice probabilities; Compensating variation; Shephard's Lemma; Logsum; CES;

    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:hal:wpaper:hal-00417493. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (CCSD). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.