Existence, uniqueness and efficiency of equilibrium in hedonic markets with multidimenstional types
AbstractWe study equilibrium in hedonic markets, when consumers and suppliers have reservation utilities, and the utility functions are separable with respect to price. There is one indivisible good, which comes in different qualities; each consumer buys 0 or 1 unit, and each supplier sells 0 or 1 unit. Consumer types, supplier types and qualities can be either discrete of continuous, in which case they are allowed to be multidimensional. Prices play a double role: they keep some agents out of the market, and they match the remaining ones pairwise. We define equilibrium prices and equilibrium distributions, and we prove that equilibria exist, we investigate to what extend equilibrium prices and distributions are unique, and we prove that equilibria are efficient. In the particular case when there is a continuum of types, and a generalized Spence-Mirrlees condition is satisfied, we prove the existence of a pure equilibrium, where demand distributions are in fact demand functions, and we show to what extent it is unique. The proofs rely on convex analysis, and care has been given to illustrate the theory with examples.
Download InfoIf 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.
Bibliographic InfoPaper provided by arXiv.org in its series Papers with number 0807.3960.
Date of creation: Jul 2008
Date of revision:
Contact details of provider:
Web page: http://arxiv.org/
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.:
- Neil E. Gretsky & Joseph M. Ostroy & William R. Zame, 1990.
"The Nonatomic Assignment Model,"
UCLA Economics Working Papers
605, UCLA Department of Economics.
- Ivar Ekeland & James J. Heckman & Lars Nesheim, 2003.
"Identification and Estimation of Hedonic Models,"
CESifo Working Paper Series
1031, CESifo Group Munich.
- Ekeland, Ivar & Heckman, James J. & Nesheim, Lars, 2003. "Identification and Estimation of Hedonic Models," IZA Discussion Papers 853, Institute for the Study of Labor (IZA).
- Ivar Ekeland & James Heckman & Lars Nesheim, 2002. "Identification and estimation of hedonic models," CeMMAP working papers CWP07/02, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
- Ivar Ekeland & James J. Heckman & Lars P. Nesheim, 2003. "Identification and Estimation of Hedonic Models," NBER Working Papers 9910, National Bureau of Economic Research, Inc.
- Ekeland, Ivar & Heckman, James J. & Nesheim, Lars, 2004. "Identification and Estimation of Hedonic Models," Economics Papers from University Paris Dauphine 123456789/6486, Paris Dauphine University.
- Gretsky, Neil E. & Ostroy, Joseph M. & Zame, William R., 1999. "Perfect Competition in the Continuous Assignment Model," Journal of Economic Theory, Elsevier, vol. 88(1), pages 60-118, September.
- Rosen, Sherwin, 1974. "Hedonic Prices and Implicit Markets: Product Differentiation in Pure Competition," Journal of Political Economy, University of Chicago Press, vol. 82(1), pages 34-55, Jan.-Feb..
- Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, July.
- Tjalling C. Koopmans & Martin J. Beckmann, 1955. "Assignment Problems and the Location of Economic Activities," Cowles Foundation Discussion Papers 4, Cowles Foundation for Research in Economics, Yale University.
- Carlier, Guillaume, 2003. "Duality and existence for a class of mass transportation problems and economic applications," Economics Papers from University Paris Dauphine 123456789/6443, Paris Dauphine University.
- Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
- Kelvin J. Lancaster, 1966. "A New Approach to Consumer Theory," Journal of Political Economy, University of Chicago Press, vol. 74, pages 132.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (arXiv administrators).
If references are entirely missing, you can add them using this form.