Revealed smooth nontransitive preferences
In the present paper, we are concerned with the behavioural consequences of consumers having nontransitive preference relations. Data sets consist of finitely many observations of price vectors and consumption bundles. A preference relation rationalizes a data set provided that for every observed consumption bundle, all strictly preferred bundles are more expensive than the observed bundle. Our main result is that data sets can be rationalized by a smooth nontransitive preference relation if and only if prices can normalized such that the law of demand is satisfied. Market data sets consist of finitely many observations of price vectors, lists of individual incomes and aggregate demands. We apply our main result to characterize market data sets consistent with equilibrium behaviour of pure-exchange economies with smooth nontransitive consumers. Copyright Springer-Verlag Berlin Heidelberg 2013
Volume (Year): 54 (2013)
Issue (Month): 3 (November)
|Contact details of provider:|| Web page: http://www.springer.com|
|Order Information:||Web: http://www.springer.com/economics/economic+theory/journal/199/PS2|
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.:
- Donald J. Brown & Rosa L. Matzkin, 1995.
"Testable Restrictions on the Equilibrium Manifold,"
Cowles Foundation Discussion Papers
1109, Cowles Foundation for Research in Economics, Yale University.
- Yves Balasko & Mich Tvede, 2009.
"General Equilibrium without Utility Functions: How far to go?,"
09-17, University of Copenhagen. Department of Economics.
- Yves Balasko & Mich Tvede, 2010. "General equilibrium without utility functions: how far to go?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 201-225, October.
- Forges, Françoise & Minelli, Enrico, 2009.
"Afriat's theorem for general budget sets,"
Journal of Economic Theory,
Elsevier, vol. 144(1), pages 135-145, January.
- Quah, J.K.-H., 2000.
"Weak Axiomatic Demand Theory,"
2000-w12, Economics Group, Nuffield College, University of Oxford.
- repec:dau:papers:123456789/9256 is not listed on IDEAS
- Shafer, Wayne J, 1974. "The Nontransitive Consumer," Econometrica, Econometric Society, vol. 42(5), pages 913-19, September.
- repec:dau:papers:123456789/4099 is not listed on IDEAS
- Yves Balasko & Mich Tvede, 2009.
"Individual Preference Rankings Compatible with Prices, Income Distributions and Total Resources,"
09-09, University of Copenhagen. Department of Economics.
- Yves Balasko & Mich Tvede, 2010. "Individual preference rankings compatible with prices, income distributions and total resources," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(3), pages 497-513, December.
- Chiappori, Pierre-Andre & Rochet, Jean-Charles, 1987. "Revealed Preferences and Differentiable Demand: Notes and Comments," Econometrica, Econometric Society, vol. 55(3), pages 687-91, May.
- W. E. Diewert, 1973. "Afriat and Revealed Preference Theory," Review of Economic Studies, Oxford University Press, vol. 40(3), pages 419-425.
- Kihlstrom, Richard E & Mas-Colell, Andreu & Sonnenschein, Hugo, 1976. "The Demand Theory of the Weak Axiom of Revealed Preference," Econometrica, Econometric Society, vol. 44(5), pages 971-78, September.
- Forges, Françoise & Iehlé, Vincent, 2012.
"Essential Data, Budget Sets and Rationalization,"
36519, University Library of Munich, Germany.
- Vadim Cherepanov & Tim Feddersen & Alvaro Sandroni, 2013. "Revealed preferences and aspirations in warm glow theory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 501-535, November.
- Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-73, July.
When requesting a correction, please mention this item's handle: RePEc:spr:joecth:v:54:y:2013:i:3:p:463-484. 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: (Sonal Shukla)or (Rebekah McClure)
If references are entirely missing, you can add them using this form.