A Unified Approach to Revealed Preference Theory: The Case of Rational Choice
The theoretical literature on (non-random) choice largely follows the route of Richter (1966) by working in abstract environments and by stipulating that we see all choices of an agent from a given feasible set. On the other hand, empirical work on consumption choice using revealed preference analysis is done following the approach of Afriat (1967), which assumes that we observe only one (and not necessarily all) of the potential choices of an agent. These two approaches are structurally different and they are treated in the literature in isolation from each other. This paper introduces a framework in which both approaches can be formulated in tandem. We prove a rationalizability theorem in this framework that simultaneously generalizes the fundamental results of Afriat and Richter, along with many of their variants.
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- Matthew Polisson & John K.-H. Quah, 2013.
"Revealed Preference in a Discrete Consumption Space,"
American Economic Journal: Microeconomics,
American Economic Association, vol. 5(1), pages 28-34, February.
- Matthew Polisson & John Quah, 2012. "Revealed Preference in a Discrete Consumption Space," Discussion Papers in Economics 12/02, Department of Economics, University of Leicester, revised Feb 2012.
- Matthew Polisson & John Quah, 2012. "Revealed preference in a discrete consumption space," IFS Working Papers W12/03, Institute for Fiscal Studies.
- Richard Blundell & Martin Browning & Ian Crawford, 1997.
"Non-parametric Engel curves and revealed preferences,"
IFS Working Papers
W97/14, Institute for Fiscal Studies.
- Richard W. Blundell & Martin Browning & Ian A. Crawford, 2003. "Nonparametric Engel Curves and Revealed Preference," Econometrica, Econometric Society, vol. 71(1), pages 205-240, January.
- Richard Blundell & Martin Browning & Ian Crawford, 2002. "Nonparametric Engel Curves and Revealed Preference," CAM Working Papers 2002-04, University of Copenhagen. Department of Economics. Centre for Applied Microeconometrics.
- Richard Blundell & Martin Browning & Ian Crawford, 1998. "Nonparametric Engel Curves and Revealed Preference," Discussion Papers 99-07, University of Copenhagen. Department of Economics.
- Anna Fostel & Herbert E. Scarf & Michael J. Todd, 2003.
"Two New Proofs of Afriat's Theorem,"
Cowles Foundation Discussion Papers
1415, Cowles Foundation for Research in Economics, Yale University.
- M.J. Todd & A. Fostel & H.E. Scarf, 2004. "Two New Proofs of Afriat's Theorem," Econometric Society 2004 North American Summer Meetings 632, Econometric Society.
- Herbert E. Scarf & Ana Fostel & Michael J. Todd, 2004. "Two New Proofs of Afriat's Theorem," Yale School of Management Working Papers ysm377, Yale School of Management.
- Sam COSAERT & Thomas DEMUYNCK, 2013.
"Revealed preference theory for finite choice sets,"
Working Papers Department of Economics
ces13.08, KU Leuven, Faculty of Economics and Business, Department of Economics.
- Jean-Paul Chavas & Thomas L. Cox, 1993. "On Generalized Revealed Preference Analysis," The Quarterly Journal of Economics, Oxford University Press, vol. 108(2), pages 493-506.
- Ok, E.A. & Zhou, L., 1996.
"Revealed Group Preferences on Non-Convex Choice Problems,"
96-39, C.V. Starr Center for Applied Economics, New York University.
- Efe A. Ok & Lin Zhou, 1999. "Revealed group preferences on non-convex choice problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(3), pages 671-687.
- Frederic Vermeulen, 2012. "Foundations of Revealed Preference: Introduction," Economic Journal, Royal Economic Society, vol. 122(560), pages 287-294, 05.
- W. E. Diewert, 1973. "Afriat and Revealed Preference Theory," Review of Economic Studies, Oxford University Press, vol. 40(3), pages 419-425.
- Francoise Forges & Enrico Minelli, 2006.
"Afriat’s Theorem for General Budget Sets,"
CESifo Working Paper Series
1703, CESifo Group Munich.
- Matzkin, Rosa L, 1991. "Axioms of Revealed Preference for Nonlinear Choice Sets," Econometrica, Econometric Society, vol. 59(6), pages 1779-1786, November.
- Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
- Andreu Mas-Colell, 1978. "On Revealed Preference Analysis," Review of Economic Studies, Oxford University Press, vol. 45(1), pages 121-131.
- Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
- Halevy, Yoram & Persitz, Dotan & Zrill, Lanny, 2012.
"Parametric Recoverability of Preferences,"
Microeconomics.ca working papers
yoram_halevy-2012-20, Vancouver School of Economics, revised 28 Aug 2015.
- Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, December.
- Geoffroy de Clippel & Kareen Rozen, 2012.
"Bounded Rationality and Limited Datasets,"
Cowles Foundation Discussion Papers
1853, Cowles Foundation for Research in Economics, Yale University, revised May 2014.
- repec:dau:papers:123456789/4099 is not listed on IDEAS
- Evren, Özgür & Ok, Efe A., 2011. "On the multi-utility representation of preference relations," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 554-563.
- Sondermann, Dieter, 1982. "Revealed Preference: An Elementary Treatment," Econometrica, Econometric Society, vol. 50(3), pages 777-779, May.
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