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The Revealed preference approach to collective consumption behavior: testing, recovery and Welfare analysis

Author

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  • Laurens Cherchye
  • Bram De Rock
  • Frederic Vermeulen

Abstract

We present a nonparametric 'revealed preference' methodology for empirically analyzing collective consumption behavior. First, we introduce an integer programming (IP) methodology for testing data consistency with alternative collective consumption models: the 'general' case in which any good can be publicly consumed as well as privately consumed, possibly with externalities; and 'special' cases that impose specific prior structure (e.g. the case with all goods publicly consumed, and the case with all goods privately consumed without externalities). In addition, we show that this IP methodology can include information on 'assignable quantities' for particular goods. Next, we demonstrate that the IP methodology allows for recovering the structural collective decision model (including the sharing rule) from the observed collective consumption behavior. In turn, this makes it possible to address welfare-related questions that are specific to the collective consumption model.

Suggested Citation

  • Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2008. "The Revealed preference approach to collective consumption behavior: testing, recovery and Welfare analysis," Working Papers ECARES 2008-029, ULB -- Universite Libre de Bruxelles.
  • Handle: RePEc:eca:wpaper:2013/230661
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    References listed on IDEAS

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    1. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
    2. Hal R. Varian, 1983. "Non-parametric Tests of Consumer Behaviour," Review of Economic Studies, Oxford University Press, vol. 50(1), pages 99-110.
    3. 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.
    4. Cherchye, Laurens & De Rock, Bram & Sabbe, Jeroen & Vermeulen, Frederic, 2008. "Nonparametric tests of collectively rational consumption behavior: An integer programming procedure," Journal of Econometrics, Elsevier, vol. 147(2), pages 258-265, December.
    5. Valérie Lechene & Ian Preston, 2007. "Demand properties in household Nash equilibrium," IFS Working Papers W07/01, Institute for Fiscal Studies.
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    8. Chiappori, Pierre-Andre, 1988. "Rational Household Labor Supply," Econometrica, Econometric Society, vol. 56(1), pages 63-90, January.
    9. Browning, Martin & Francois Bourguignon & Pierre-Andre Chiappori & Valerie Lechene, 1994. "Income and Outcomes: A Structural Model of Intrahousehold Allocation," Journal of Political Economy, University of Chicago Press, vol. 102(6), pages 1067-1096, December.
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    11. Lewbel, Arthur & Pendakur, Krishna, 2008. "Estimation of collective household models with Engel curves," Journal of Econometrics, Elsevier, vol. 147(2), pages 350-358, December.
    12. Donald J. Brown & Chris Shannon, 2000. "Uniqueness, Stability, and Comparative Statics in Rationalizable Walrasian Markets," Econometrica, Econometric Society, vol. 68(6), pages 1529-1540, November.
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    14. Richard Blundell & Jean-Marc Robin, 2000. "Latent Separability: Grouping Goods without Weak Separability," Econometrica, Econometric Society, vol. 68(1), pages 53-84, January.
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    17. Chiappori, Pierre-Andre, 1992. "Collective Labor Supply and Welfare," Journal of Political Economy, University of Chicago Press, vol. 100(3), pages 437-467, June.
    18. 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, March.
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    Citations

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    Cited by:

    1. Cherchye, Laurens & De Rock, Bram & Vermeulen, Frederic, 2010. "An Afriat Theorem for the collective model of household consumption," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1142-1163, May.
    2. Ennio Bilancini, 2010. "On the Rationalizability of Observed Consumers Choise when Prefeerences else," Department of Economics 0636, University of Modena and Reggio E., Faculty of Economics "Marco Biagi".
    3. Ennio Bilancini, 2011. "On the rationalizability of observed consumers’ choices when preferences depend on budget sets and (potentially) on anything else," Journal of Economics, Springer, vol. 102(3), pages 275-286, April.
    4. Cherchye, Laurens & De Rock, Bram & Sabbe, Jeroen & Vermeulen, Frederic, 2008. "Nonparametric tests of collectively rational consumption behavior: An integer programming procedure," Journal of Econometrics, Elsevier, vol. 147(2), pages 258-265, December.
    5. Cherchye, L.J.H. & de Rock, B. & Vermeulen, F.M.P., 2009. "The Revealed Preference Approach to Collective Consumption Behavior : Nonparametric Testing and Sharing Rule Recovery (Revised version of CentER DP 2007-73)," Discussion Paper 2009-68, Tilburg University, Center for Economic Research.
    6. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2011. "The Revealed Preference Approach to Collective Consumption Behaviour: Testing and Sharing Rule Recovery," Review of Economic Studies, Oxford University Press, vol. 78(1), pages 176-198.

    More about this item

    Keywords

    collective model; revealed preferences; consumption; testing; recovery; welfare analysis; integer programming;

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
    • D13 - Microeconomics - - Household Behavior - - - Household Production and Intrahouse Allocation
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

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