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Aggregation without the Aggravation? Nonparametric Analysis of the Representative Consumer

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  • Cherchye, L.J.H.

    (Tilburg University, Center For Economic Research)

  • Crawford, I.
  • de Rock, B.
  • Vermeulen, F.M.P.

    (Tilburg University, Center For Economic Research)

Abstract

In the tradition of Afriat (1967), Diewert (1973) and Varian (1982), we provide a revealed preference characterisation of the representative consumer. Our results are simple and complement those of Gorman (1953, 1961), Samuelson (1956) and others. They can also be applied to data very readily and without the need for auxiliary parametric or statistical assumptions. We investigate the application of our characterisation by means of a balanced microdata panel survey. Our findings provide robust evidence against the existence of a representative consumer for our data.
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Suggested Citation

  • Cherchye, L.J.H. & Crawford, I. & de Rock, B. & Vermeulen, F.M.P., 2011. "Aggregation without the Aggravation? Nonparametric Analysis of the Representative Consumer," Discussion Paper 2011-143, Tilburg University, Center for Economic Research.
    • Handle: RePEc:tiu:tiucen:e6102eac-a248-49dc-ae8e-10281b8e3b6f
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    References listed on IDEAS

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    1. Michael Jerison, 1994. "Optimal Income Distribution Rules and Representative Consumers," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(4), pages 739-771.
    2. 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.
    3. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
    4. repec:hal:spmain:info:hdl:2441/f0uohitsgqh8dhk9820172631 is not listed on IDEAS
    5. 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.
    6. Richard Blundell & Jean-Marc Robin, 2000. "Latent Separability: Grouping Goods without Weak Separability," Econometrica, Econometric Society, vol. 68(1), pages 53-84, January.
    7. Swofford, James L & Whitney, Gerald A, 1987. "Nonparametric Tests of Utility Maximization and Weak Separability for Consumption, Leisure and Money," The Review of Economics and Statistics, MIT Press, vol. 69(3), pages 458-464, August.
    8. Christopher D. Carroll, 2000. "Requiem for the Representative Consumer? Aggregate Implications of Microeconomic Consumption Behavior," American Economic Review, American Economic Association, vol. 90(2), pages 110-115, May.
    9. Fleissig, Adrian R & Whitney, Gerald A, 2003. "A New PC-Based Test for Varian's Weak Separability Conditions," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(1), pages 133-144, January.
    10. 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.
    11. Richard Blundell & Martin Browning & Ian Crawford, 2008. "Best Nonparametric Bounds on Demand Responses," Econometrica, Econometric Society, vol. 76(6), pages 1227-1262, November.
    12. Chiappori, Pierre-Andre, 1988. "Rational Household Labor Supply," Econometrica, Econometric Society, vol. 56(1), pages 63-90, January.
    13. Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
    14. Timothy K. M. Beatty & Ian A. Crawford, 2011. "How Demanding Is the Revealed Preference Approach to Demand?," American Economic Review, American Economic Association, vol. 101(6), pages 2782-2795, October.
    15. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2011. "The revealed preference approach to collective consumption behavior: nonparametric testing and sharing rule recovery," ULB Institutional Repository 2013/98560, ULB -- Universite Libre de Bruxelles.
    16. Jonathan Heathcote & Kjetil Storesletten & Giovanni L. Violante, 2009. "Quantitative Macroeconomics with Heterogeneous Households," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 319-354, May.
    17. Ian Crawford, 2004. "Necessary and sufficient conditions for latent separability," IFS Working Papers W04/17, Institute for Fiscal Studies.
    18. Dow, James & da Costa Werlang, Sergio Ribeiro, 1988. "The consistency of welfare judgments with a representative consumer," Journal of Economic Theory, Elsevier, vol. 44(2), pages 269-280, April.
    19. Laurens Cherchye & Bram De Rock & Frederic Vermeulen, 2011. "The Revealed Preference Approach to Collective Consumption Behaviour: Testing and Sharing Rule Recovery," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(1), pages 176-198.
    20. Donald J. Brown & Caterina Calsamiglia, 2008. "The Nonparametric Approach to Applied Welfare Analysis," Lecture Notes in Economics and Mathematical Systems, in: Computational Aspects of General Equilibrium Theory, pages 41-46, Springer.
    21. Francois Gourio, 2012. "Disaster Risk and Business Cycles," American Economic Review, American Economic Association, vol. 102(6), pages 2734-2766, October.
    22. Swofford, James L. & Whitney, Gerald A., 1994. "A revealed preference test for weakly separable utility maximization with incomplete adjustment," Journal of Econometrics, Elsevier, vol. 60(1-2), pages 235-249.
    23. W. E. Diewert, 1973. "Afriat and Revealed Preference Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 40(3), pages 419-425.
    24. Ian Crawford & J. Peter Neary, 2008. "Testing for a Reference Consumer in International Comparisons of Living Standards," American Economic Review, American Economic Association, vol. 98(4), pages 1731-1732, September.
    25. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
    26. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    27. Fleissig, Adrian R. & Whitney, Gerald A., 2008. "A nonparametric test of weak separability and consumer preferences," Journal of Econometrics, Elsevier, vol. 147(2), pages 275-281, December.
    28. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    29. Muellbauer, John, 1976. "Community Preferences and the Representative Consumer," Econometrica, Econometric Society, vol. 44(5), pages 979-999, September.
    30. Hal R. Varian, 1983. "Non-parametric Tests of Consumer Behaviour," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(1), pages 99-110.
    31. Alan P. Kirman, 1992. "Whom or What Does the Representative Individual Represent?," Journal of Economic Perspectives, American Economic Association, vol. 6(2), pages 117-136, Spring.
    32. Robert A. Pollak, 1971. "Additive Utility Functions and Linear Engel Curves," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(4), pages 401-414.
    33. Blackorby, Charles & Boyce, Richard & Russell, R Robert, 1978. "Estimation of Demand Systems Generated by the Gorman Polar Form: A Generalization of the S-Branch Utility Tree," Econometrica, Econometric Society, vol. 46(2), pages 345-363, March.
    34. Adrien Verdelhan & Francois Gourio, 2010. "International Disaster Risk, Business Cycles, and Exchange Rates," 2010 Meeting Papers 435, Society for Economic Dynamics.
    35. 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.
    36. John Muellbauer, 1975. "Aggregation, Income Distribution and Consumer Demand," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 42(4), pages 525-543.
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    Cited by:

    1. Christos Koulovatianos & Carsten Schröder & Ulrich Schmidt, 2010. "Confronting the Representative Consumer with Household-Size Heterogeneity," Discussion Papers of DIW Berlin 1056, DIW Berlin, German Institute for Economic Research.
    2. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2015. "Is utility transferable? a revealed preference analysis," Theoretical Economics, Econometric Society, vol. 10(1), January.
    3. Kannai, Yakar & Selden, Larry & Wei, Xiao, 2014. "Myopic separability," Journal of Economic Behavior & Organization, Elsevier, vol. 103(C), pages 125-144.
    4. Maria Porter & Abi Adams, 2016. "For Love or Reward? Characterising Preferences for Giving to Parents in an Experimental Setting," Economic Journal, Royal Economic Society, vol. 126(598), pages 2424-2445, December.
    5. Koulovatianos, Christos & Schröder, Carsten & Schmidt, Ulrich, 2014. "Do demographics prevent consumer aggregates from reflecting micro-level preferences?," CFS Working Paper Series 484, Center for Financial Studies (CFS).

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    More about this item

    Keywords

    revealed preference; aggregation; Gorman Polar Form; GARP;
    All these keywords.

    JEL classification:

    • D10 - Microeconomics - - Household Behavior - - - General
    • D30 - Microeconomics - - Distribution - - - General
    • D60 - Microeconomics - - Welfare Economics - - - General
    • E10 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - General

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