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The Rank of a System of Engel Curves. How Many Common Factors?


  • Matteo Barigozzi
  • Alessio Moneta



By representing a system of budget shares as an approximate factor model we determine its rank, i.e. the number of common functional forms, or factors, spanning the space of Engel curves. Once the common factors are estimated via approximate principal components, we identify them by imposing statistical independence. Finally, by means of parametric and non-parametric regressions we estimate the factors as functions of total expenditure. Using data from the U.K. Consumption Expenditure Survey from 1968 to 2006, we find evidence of three common functional forms which correspond to decreasing, increasing and almost constant Engel curves. The household consumption behavior is therefore driven by three factors respectively related to necessities (e.g. food), luxuries (e.g. vehicles), and goods to which is allocated the same percentage of total budget both in rich and in poor households (e.g. housing).

Suggested Citation

  • Matteo Barigozzi & Alessio Moneta, 2011. "The Rank of a System of Engel Curves. How Many Common Factors?," Papers on Economics and Evolution 2011-01, Philipps University Marburg, Department of Geography.
  • Handle: RePEc:esi:evopap:2011-01

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    References listed on IDEAS

    1. Reinoud Joosten & Thomas Brenner & Ulrich Witt, 2003. "Games with frequency-dependent stage payoffs," International Journal of Game Theory, Springer;Game Theory Society, vol. 31(4), pages 609-620, September.
    2. Bulte, Erwin H., 2003. "Open access harvesting of wildlife: the poaching pit and conservation of endangered species," Agricultural Economics, Blackwell, vol. 28(1), pages 27-37, January.
    3. Sergiu Hart, 1985. "Nonzero-Sum Two-Person Repeated Games with Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 10(1), pages 117-153, February.
    4. repec:cor:louvrp:-636 is not listed on IDEAS
    5. Joosten Reinoud & Peters Hans & Thuijsman Frank, 1995. "Unlearning by Not Doing: Repeated Games with Vanishing Actions," Games and Economic Behavior, Elsevier, vol. 9(1), pages 1-7, April.
    6. Forges, Francoise M, 1986. "An Approach to Communication Equilibria," Econometrica, Econometric Society, vol. 54(6), pages 1375-1385, November.
    7. AMIR, Rabah, 2001. "Stochastic games in economics and related fields: an overview," CORE Discussion Papers 2001060, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    More about this item


    Engel Curves; Demand Systems; Factor Models; Independent Component Analysis Length 29 pages;

    JEL classification:

    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis

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