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Afriat's Theorem for Indivisible Goods

Listed author(s):
  • Francoise Forges
  • Vincent Iehlé

We identify a natural counterpart of the standard GARP for demand data in which goods are all indivisible. We show that the new axiom (DARP, for “discrete axiom of revealed preference”) is necessary and sufficient for the rationalization of the data by a well-behaved utility function. Our results complement the main finding of Polisson and Quah, Am. Econ. J.: Micro. 5(1) p.28-34 (2013), who rather minimally modify the original consumer problem with indivisible goods so that the standard GARP still applies.

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File URL: http://www.cesifo-group.de/portal/page/portal/DocBase_Content/WP/WP-CESifo_Working_Papers/wp-cesifo-2013/wp-cesifo-2013-11/cesifo1_wp4498.pdf
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Paper provided by CESifo Group Munich in its series CESifo Working Paper Series with number 4498.

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Date of creation: 2013
Handle: RePEc:ces:ceswps:_4498
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  1. 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.
  2. Forges, Françoise & Minelli, Enrico, 2009. "Afriat's theorem for general budget sets," Journal of Economic Theory, Elsevier, vol. 144(1), pages 135-145, January.
  3. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
  4. A. Fostel & H. Scarf & M. Todd, 2004. "Two new proofs of Afriat’s theorem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(1), pages 211-219, 07.
  5. repec:spo:wpecon:info:hdl:2441/5rkqqmvrn4tl22s9mc0o6ctj2 is not listed on IDEAS
  6. Francoise Forges & Vincent Iehlé, 2013. "Essential Data, Budget Sets and Rationalization," Post-Print halshs-00727806, HAL.
  7. repec:dau:papers:123456789/4099 is not listed on IDEAS
  8. repec:dau:papers:123456789/9256 is not listed on IDEAS
  9. Mattei, Aurelio, 2000. "Full-scale real tests of consumer behavior using experimental data," Journal of Economic Behavior & Organization, Elsevier, vol. 43(4), pages 487-497, December.
  10. Ivar Ekeland & Alfred Galichon, 2013. "The Housing Problem and Revealed Preference Theory: Duality and an application," Sciences Po publications info:hdl:2441/5rkqqmvrn4t, Sciences Po.
  11. Chambers, Christopher P. & Echenique, Federico, 2009. "Supermodularity and preferences," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1004-1014, May.
  12. Varian, Hal R., 1990. "Goodness-of-fit in optimizing models," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 125-140.
  13. 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, vol. 119(6), pages 1201-1223.
  14. Philippe Février & Michael Visser, 2004. "A Study of Consumer Behavior Using Laboratory Data," Experimental Economics, Springer;Economic Science Association, vol. 7(1), pages 93-114, February.
  15. Donald J. Brown & Caterina Calsamiglia, 2005. "The Nonparametric Approach to Applied Welfare Analysis," Cowles Foundation Discussion Papers 1507, Cowles Foundation for Research in Economics, Yale University.
  16. Sam Cosaert & Thomas Demuynck, 2015. "Revealed preference theory for finite choice sets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 59(1), pages 169-200, May.
  17. W. E. Diewert, 1973. "Afriat and Revealed Preference Theory," Review of Economic Studies, Oxford University Press, vol. 40(3), pages 419-425.
  18. Hammond, Peter & Traub, Stefan, 2012. "A Three-Stage Experimental Test of Revealed Preference," CAGE Online Working Paper Series 72, Competitive Advantage in the Global Economy (CAGE).
  19. Satoru Fujishige & Zaifu Yang, 2012. "On Revealed Preference and Indivisibilities," Discussion Papers 12/02, Department of Economics, University of York.
  20. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
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