On Revealed Preference and Indivisibilities
We consider a market model in which all commodities are inherently indivisible and thus are traded in integer quantities. We ask whether a finite set of price-quantity observations satisfying the Generalized Axiom of Revealed Preference (GARP) is consistent with utility maximization. Although familiar conditions such as non-satiation become meaningless in the current discrete model, by refining the standard notion of demand set we show that Afriat's celebrated theorem still holds true. Exploring network structure and a new and easy-to-use variant of GARP, we propose an elementary, simple, intuitive, combinatorial, and constructive proof for the result.
|Date of creation:||Jan 2012|
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- 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.
- 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.
- Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2007.
"The Collective Model of Household Consumption: A nonparametric characterization,"
ULB Institutional Repository
2013/98559, ULB -- Universite Libre de Bruxelles.
- Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2007. "The Collective Model of Household Consumption: A Nonparametric Characterization," Econometrica, Econometric Society, vol. 75(2), pages 553-574, 03.
- Cherchye, L.J.H. & de Rock, B. & Vermeulen, F.M.P., 2007. "The collective model of household consumption : A nonparametric characterization," Other publications TiSEM 0a104373-4fb6-4ef2-9d2b-2, School of Economics and Management.
- Cherchye, L.J.H. & de Rock, B. & Vermeulen, F.M.P., 2004. "The Collective Model of Household Consumption : A Nonparametric Characterization," Discussion Paper 2004-76, Tilburg University, Center for Economic Research.
- Frederic Vermeulen, 2012. "Foundations of Revealed Preference: Introduction," Economic Journal, Royal Economic Society, vol. 122(560), pages 287-294, 05.
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