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The Collective Model of Household Consumption: A Nonparametric Characterization

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  • Laurens Cherchye
  • Bram De Rock
  • Frederic Vermeulen

Abstract

We provide a nonparametric characterization of a general collective model for household consumption, which includes externalities and public consumption. Next, we establish testable necessary and sufficient conditions for data consistency with collective rationality that only include observed price and quantity information. These conditions have a similar structure as the generalized axiom of revealed preference for the unitary model, which is convenient from a testing point of view. In addition, we derive the minimum number of goods and observations that enable the rejection of collectively rational household behavior. Copyright The Econometric Society 2007.

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File URL: http://hdl.handle.net/10.1111/j.1468-0262.2006.00757.x
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Bibliographic Info

Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 75 (2007)
Issue (Month): 2 (03)
Pages: 553-574

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Handle: RePEc:ecm:emetrp:v:75:y:2007:i:2:p:553-574

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  1. Varian, Hal R, 1983. "Non-Parametric Tests of Consumer Behaviour," Review of Economic Studies, Wiley Blackwell, vol. 50(1), pages 99-110, January.
  2. Richard Blundell & Martin Browning & Ian Crawford, 1997. "Non-parametric Engel curves and revealed preferences," IFS Working Papers W97/14, Institute for Fiscal Studies.
  3. Varian, Hal R., 1990. "Goodness-of-fit in optimizing models," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 125-140.
  4. Martin Browning & P.A. Chiappori, 1996. "Efficient Intra-Household Allocations - A General Characterization and Empirical Tests," Discussion Papers 96-10, University of Copenhagen. Department of Economics.
  5. Vermeulen, F.M.P., 2002. "Collective household models: Principles and main results," Open Access publications from Tilburg University urn:nbn:nl:ui:12-3106943, Tilburg University.
  6. Susan K. Snyder, 2000. "Nonparametric Testable Restrictions of Household Behavior," Southern Economic Journal, Southern Economic Association, vol. 67(1), pages 171-185, July.
  7. Richard Blundell & Martin Browning & Ian Crawford, 2008. "Best Nonparametric Bounds on Demand Responses," Econometrica, Econometric Society, vol. 76(6), pages 1227-1262, November.
  8. Laurens Cherchye & Frederic Vermeulen, 2003. "Nonparametric Analysis of Household Labour Supply: Goodness-of-Fit and Power of the Unitary and the Collective Model," Public Economics Working Paper Series ces0302, Katholieke Universiteit Leuven, Centrum voor Economische Studiën, Working Group Public Economics.
  9. Dauphin, Anyck & Fortin, Bernard, 2001. "A test of collective rationality for multi-person households," Economics Letters, Elsevier, vol. 71(2), pages 211-216, May.
  10. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-73, July.
  11. Chiappori, Pierre-Andre, 1992. "Collective Labor Supply and Welfare," Journal of Political Economy, University of Chicago Press, vol. 100(3), pages 437-67, June.
  12. Keuzenkamp, Hugo A. & Barten, Anton P., 1995. "Rejection without falsification on the history of testing the homogeneity condition in the theory of consumer demand," Journal of Econometrics, Elsevier, vol. 67(1), pages 103-127, May.
  13. Carvajal, Andres & Ray, Indrajit & Snyder, Susan, 2004. "Equilibrium behavior in markets and games: testable restrictions and identification," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 1-40, February.
  14. Hal R. Varian, 1994. "Goodness-of-Fit for Revealed Preference Tests," Econometrics 9401001, EconWPA.
  15. Chiappori, Pierre-Andre, 1988. "Rational Household Labor Supply," Econometrica, Econometric Society, vol. 56(1), pages 63-90, January.
  16. 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.
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