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On Behavioral Complementarity and its Implications

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  • Christopher P. Chambers

    ()
    (Division of the Humanities and Social Sciences, California Institute of Technology)

  • Federico Echenique

    ()
    (Division of the Humanities and Social Sciences, California Institute of Technology)

  • Eran Shmaya

    ()
    (Division of the Humanities and Social Sciences, California Institute of Technology)

Abstract

We study the behavioral de nition of complementary goods: if the price of one good increases, demand for a complementary good must decrease. We obtain its full implications for observable demand behavior (its testable implications), and for the consumer's underlying preferences. We characterize those data sets which can be generated by rational preferences exhibiting complementarities. In a model in which income results from selling an endowment (as in general equilibrium models of exchange economies), the notion is surprisingly strong and is essentially equivalent to Leontief preferences. In the model of nominal income, the notion describes a class of preferences whose extreme cases are Leontief and Cobb-Douglas respectively.

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File URL: http://decon.edu.uy/publica/2007/1007.pdf
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Bibliographic Info

Paper provided by Department of Economics - dECON in its series Documentos de Trabajo (working papers) with number 1007.

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Length: 46 pages
Date of creation: Oct 2007
Date of revision:
Handle: RePEc:ude:wpaper:1007

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Keywords: Afriat's Theorem; Weak Axiom of Revealed Preference; Complementary goods.;

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  1. Francoise Forges & Enrico Minelli, 2006. "Afriat's Theorem for General Budget Sets," Working Papers ubs0609, University of Brescia, Department of Economics.
  2. Epstein, Larry G, 1981. "Generalized Duality and Integrability," Econometrica, Econometric Society, vol. 49(3), pages 655-78, May.
  3. Milgrom, P. & Shannon, C., 1991. "Monotone Comparative Statics," Papers 11, Stanford - Institute for Thoretical Economics.
  4. John K.H. Quah, 2003. "The Law of Demand and Risk Aversion," Econometrica, Econometric Society, vol. 71(2), pages 713-721, March.
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  6. Mas-Colell, Andreu, 1978. "On Revealed Preference Analysis," Review of Economic Studies, Wiley Blackwell, vol. 45(1), pages 121-31, February.
  7. John K.-H Quah, 2007. "The Comparative Statics of Constrained Optimization Problems," Econometrica, Econometric Society, vol. 75(2), pages 401-431, 03.
  8. Chambers, Christopher P. & Echenique, Federico, 2009. "Supermodularity and preferences," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1004-1014, May.
  9. Donald Brown & Caterina Calsamiglia, 2007. "The Nonparametric Approach to Applied Welfare Analysis," Economic Theory, Springer, vol. 31(1), pages 183-188, April.
  10. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-73, July.
  11. Matzkin, Rosa L, 1991. "Axioms of Revealed Preference for Nonlinear Choice Sets," Econometrica, Econometric Society, vol. 59(6), pages 1779-86, November.
  12. Lewbel, Arthur, 1996. "Aggregation without Separability: A Generalized Composite Commodity Theorem," American Economic Review, American Economic Association, vol. 86(3), pages 524-43, June.
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