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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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Bibliographic Info

Paper provided by ULB -- Universite Libre de Bruxelles in its series ULB Institutional Repository with number 2013/98559.

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Date of creation: 2007
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Publication status: Published in: Econometrica (2007) v.75 n° 2,p.553-574
Handle: RePEc:ulb:ulbeco:2013/98559

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References

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  1. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, Econometric Society, vol. 50(4), pages 945-73, July.
  2. Richard Blundell & Martin Browning & Ian Crawford, 2005. "Best nonparametric bounds on demand responses," CeMMAP working papers, Centre for Microdata Methods and Practice, Institute for Fiscal Studies CWP12/05, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
  3. Richard W. Blundell & Martin Browning & Ian A. Crawford, 2003. "Nonparametric Engel Curves and Revealed Preference," Econometrica, Econometric Society, Econometric Society, vol. 71(1), pages 205-240, January.
  4. 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, Elsevier, vol. 67(1), pages 103-127, May.
  5. Dauphin, A. & Fortin, B., 2000. "A Test of Collective Rationality for Multi-Person Households," Papers, Laval - Recherche en Politique Economique 0005, Laval - Recherche en Politique Economique.
  6. Chiappori, Pierre-Andre, 1992. "Collective Labor Supply and Welfare," Journal of Political Economy, University of Chicago Press, University of Chicago Press, vol. 100(3), pages 437-67, June.
  7. Varian, H.R., 1991. "Goodness of Fit for Revealed Preference Tests," Papers, Michigan - Center for Research on Economic & Social Theory 13, Michigan - Center for Research on Economic & Social Theory.
  8. 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.
  9. 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, Katholieke Universiteit Leuven, Centrum voor Economische Studiën, Working Group Public Economics ces0302, Katholieke Universiteit Leuven, Centrum voor Economische Studiën, Working Group Public Economics.
  10. 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.
  11. Varian, Hal R, 1983. "Non-Parametric Tests of Consumer Behaviour," Review of Economic Studies, Wiley Blackwell, Wiley Blackwell, vol. 50(1), pages 99-110, January.
  12. Chiappori, Pierre-Andre, 1988. "Rational Household Labor Supply," Econometrica, Econometric Society, Econometric Society, vol. 56(1), pages 63-90, January.
  13. Susan K. Snyder, 2000. "Nonparametric Testable Restrictions of Household Behavior," Southern Economic Journal, Southern Economic Association, vol. 67(1), pages 171-185, July.
  14. Varian, Hal R., 1990. "Goodness-of-fit in optimizing models," Journal of Econometrics, Elsevier, Elsevier, vol. 46(1-2), pages 125-140.
  15. 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.
  16. Chiappori, Pierre-Andre & Rochet, Jean-Charles, 1987. "Revealed Preferences and Differentiable Demand: Notes and Comments," Econometrica, Econometric Society, Econometric Society, vol. 55(3), pages 687-91, May.
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