Advanced Search
MyIDEAS: Login to save this paper or follow this series

The housing problem and revealed preference theory: duality and an application

Contents:

Author Info

  • Ekeland, Ivar
  • Galichon, Alfred

Abstract

This paper exhibits a duality between the theory of revealed preference of Afriat and the housing allocation problem of Shapley and Scarf. In particular, it is shown that Afriat’s theorem can be interpreted as a second welfare theorem in the housing problem. Using this duality, the revealed preference problem is connected to an optimal assignment problem, and a geometrical characterization of the rationalizability of experiment data is given. This allows in turn to give new indices of rationalizability of the data and to define weaker notions of rationalizability, in the spirit of Afriat’s efficiency index.

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: http://basepub.dauphine.fr/xmlui/bitstream/123456789/10574/1/SSRN-id1719864.pdf
Download Restriction: no

Bibliographic Info

Paper provided by Paris Dauphine University in its series Economics Papers from University Paris Dauphine with number 123456789/10574.

as in new window
Length:
Date of creation: 2012
Date of revision:
Publication status: Published in Economic theory, 2012
Handle: RePEc:dau:papers:123456789/10574

Contact details of provider:
Web page: http://www.dauphine.fr/en/welcome.html
More information through EDIRC

Related research

Keywords: Revealed preferences; Afriat’s theorem; Optimal assignments; Indivisible allocations;

Other versions of this item:

Find related papers by JEL classification:

References

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
as in new window
  1. Cherchye, L.J.H. & Rock, B. de & Vermeulen, F.M.P., 2008. "An Afriat Theorem for the Collective Model of Household Consumption," Discussion Paper, Tilburg University, Center for Economic Research 2008-72, Tilburg University, Center for Economic Research.
  2. Matzkin, Rosa L, 1991. "Axioms of Revealed Preference for Nonlinear Choice Sets," Econometrica, Econometric Society, Econometric Society, vol. 59(6), pages 1779-86, November.
  3. Ivar Ekeland, 2010. "Notes on optimal transportation," Economic Theory, Springer, Springer, vol. 42(2), pages 437-459, February.
  4. Cherchye, L.J.H. & Rock, B. de & Vermeulen, F.M.P., 2007. "The collective model of household consumption: A nonparametric characterization," Open Access publications from Tilburg University urn:nbn:nl:ui:12-194157, Tilburg University.
  5. M.J. Todd & A. Fostel & H.E. Scarf, 2004. "Two New Proofs of Afriat's Theorem," Econometric Society 2004 North American Summer Meetings, Econometric Society 632, Econometric Society.
  6. Forges, Françoise & Minelli, Enrico, 2009. "Afriat's theorem for general budget sets," Economics Papers from University Paris Dauphine, Paris Dauphine University 123456789/4099, Paris Dauphine University.
  7. Diewert, W E, 1973. "Afriat and Revealed Preference Theory," Review of Economic Studies, Wiley Blackwell, Wiley Blackwell, vol. 40(3), pages 419-25, July.
  8. Federico Echenique & Sangmok Lee & Matthew Shum, 2011. "The Money Pump as a Measure of Revealed Preference Violations," Journal of Political Economy, University of Chicago Press, University of Chicago Press, vol. 119(6), pages 1201 - 1223.
  9. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
  10. Federico Echenique & Sangmok Lee & Matthew Shum & M. Bumin Yenmez, 2013. "The Revealed Preference Theory of Stable and Extremal Stable Matchings," Econometrica, Econometric Society, Econometric Society, vol. 81(1), pages 153-171, 01.
  11. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, Econometric Society, vol. 50(4), pages 945-73, July.
  12. Ivar Ekeland & Alfred Galichon & Marc Henry, 2010. "Optimal transportation and the falsifiability of incompletely specified economic models," Economic Theory, Springer, Springer, vol. 42(2), pages 355-374, February.
  13. Neil E. Gretsky & Joseph M. Ostroy & William R. Zame, 1990. "The Nonatomic Assignment Model," UCLA Economics Working Papers, UCLA Department of Economics 605, UCLA Department of Economics.
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 in new window

Cited by:
  1. Francoise Forges & Vincent Iehlé, 2014. "Afriat's theorem for indivisible goods," Working Papers halshs-00870052, HAL.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:dau:papers:123456789/10574. 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: (Alexandre Faure).

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 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.