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The Revealed Preference Approach to Collective Consumption Behavior: Testing, Recovery and Welfare Analysis

  • Cherchye, Laurens

    ()

    (KU Leuven)

  • De Rock, Bram

    ()

    (ECARES, Free University of Brussels)

  • Vermeulen, Frederic

    ()

    (KU Leuven)

We extend the nonparametric ‘revealed preference’ methodology for analyzing collective consumption behavior (with consumption externalities and public consumption), to render it useful for empirical applications that deal with welfare-related questions. First, we provide a nonparametric necessary and sufficient condition for collectively rational group behavior that incorporates the possibility of assignable quantity information. This characterizes collective rationality in terms of feasible personalized prices, personalized quantities and income shares (representing the underlying sharing rule). Subsequently, we present nonparametric testing tools for data consistency with special cases of the collective model, which impose specific structure on the preferences of the group members (in terms of consumption externalities and public consumption); and we show that these testing tools in turn allow for nonparametrically recovering (bounds on) feasible personalized prices, personalized quantities and income shares that underlie observed (collectively rational) group behavior. In addition, we present formally similar testing and recovery tools for the general collective consumption model, which imposes minimal a priori structure. Interestingly, the proposed testing and recovery methodology can be implemented through integer programming (IP and MILP), which is attractive for practical applications. Finally, while we argue that assignable quantity information generally entails more powerful recovery results, we also demonstrate that precise nonparametric recovery (i.e. tight bounds) can be obtained even if no assignable quantity information is available.

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Paper provided by Institute for the Study of Labor (IZA) in its series IZA Discussion Papers with number 3062.

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Length: 40 pages
Date of creation: Sep 2007
Date of revision:
Publication status: published as 'The revealed preference approach to collective consumption behavior: testing and sharing rule recovery' in: Review of Economic Studies, 2011, 78 (1), 175 - 198
Handle: RePEc:iza:izadps:dp3062
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  1. Martin Browning & Pierre-Andre Chiappori, 1994. "Efficient Intra-Household Allocations: a General Characterization and Empirical Tests," Department of Economics Working Papers 1994-02, McMaster University.
  2. R. Blundell & Jean-Marc Robin, 2000. "Latent separability: grouping goods without weak separability," Sciences Po publications info:hdl:2441/f0uohitsgqh, Sciences Po.
  3. 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, Tilburg University, School of Economics and Management.
  4. Brown, Donald J & Matzkin, Rosa L, 1996. "Testable Restrictions on the Equilibrium Manifold," Econometrica, Econometric Society, vol. 64(6), pages 1249-62, November.
  5. Pierre-André Chiappori & Richard Blundell & Costas Meghir, 2002. "Collective labour supply with children," IFS Working Papers W02/08, Institute for Fiscal Studies.
  6. Arthur Lewbel & Krishna Pendakur, 2008. "Estimation of Collective Household Models With Engel Curves," Boston College Working Papers in Economics 694, Boston College Department of Economics.
  7. Chiappori, Pierre-Andre, 1992. "Collective Labor Supply and Welfare," Journal of Political Economy, University of Chicago Press, vol. 100(3), pages 437-67, June.
  8. 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.
  9. Laurens Cherchye & Bram De Rock & Jeroen Sabbe & Frederic Vermeulen, 2008. "Nonparametric tests of collectively rational consumption behavior: an integer programming procedure," Working Papers ECARES 2008-001, ULB -- Universite Libre de Bruxelles.
  10. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-73, July.
  11. Donald J. Brown and Chris Shannon., 1997. "Uniqueness, Stability, and Comparative Statics in Rationalizable Walrasian Markets," Economics Working Papers 97-256, University of California at Berkeley.
  12. James Andreoni & William T. Harbaugh, 2006. "Power Indices for Revealed Preference Tests," Levine's Bibliography 122247000000001257, UCLA Department of Economics.
  13. Hal R. Varian, 1983. "Non-parametric Tests of Consumer Behaviour," Review of Economic Studies, Oxford University Press, vol. 50(1), pages 99-110.
  14. Browning, M. & Bourguignon, F. & Chiappori, P.A. & Lechene, V., 1992. "Incomes and Outcomes: A structural Model of Intra-Household Allocation," DELTA Working Papers 92-23, DELTA (Ecole normale supérieure).
  15. Varian, Hal R., 1990. "Goodness-of-fit in optimizing models," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 125-140.
  16. Chiappori, Pierre-Andre, 1988. "Rational Household Labor Supply," Econometrica, Econometric Society, vol. 56(1), pages 63-90, January.
  17. Chiappori, P.A. & Ekeland, I., 2006. "The micro economics of group behavior: General characterization," Journal of Economic Theory, Elsevier, vol. 130(1), pages 1-26, September.
  18. Varian, Hal R., 1985. "Non-parametric analysis of optimizing behavior with measurement error," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 445-458.
  19. Valérie Lechene & Ian Preston, 2007. "Demand properties in household Nash equilibrium," IFS Working Papers W07/01, Institute for Fiscal Studies.
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