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Fonctions de production représentatives de fonctions à complémentarité stricte

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  • Gourieroux, C.

    (CEPREMAP)

  • Peaucelle, I.

    (CEPREMAP)

Abstract

In this paper, we analyse production function with complementary factors for the case of heterogenous firms. As an illustration, we restrict ourselves to the two factors case and we consider the functions: yi= Min (a1ix1i , a2ix2i), where the technical coefficients vary with the form. Then it is natural to introduce the representative function : y = g (x1, x2 ) = Min (a1x1, a2x2 ), where the average is taken with respect to the technical coefficients. We first characterize the functions which may be interpreted as representative and discuss the possibility to identify the heterogeneity distribution π from the representative production function g. These results are applied to the CES functions. Finally we discuss the notion of more or less heterogenous distribution, we examine how they are linked to heterogenity biases on the substitution coefficients and we use the obtained family of production technologies to introduce an ordering on the distributions of inputs in terms of technical efficiency. Dans cet article, nous analysons des fonctions de production à complémentarité stricte dans le cas d’entreprises hétérogènes. Nous restreignant pour simplifier au cas de deux facteurs, nous avons: yi= Min (a1ix1i , a2ix2i), où les coefficients techniques a1i a2i dépendent de l’entreprise i considérée. Il est alors naturel d’introduire la fonction de production moyenne (ou représentative) définie par : y = g (x1, x2 ) = Min (a1x1, a2x2 ), où la moyenne est prise sur les coefficients techniques.

Suggested Citation

  • Gourieroux, C. & Peaucelle, I., 1988. "Fonctions de production représentatives de fonctions à complémentarité stricte," L'Actualité Economique, Société Canadienne de Science Economique, vol. 64(2), pages 209-230, juin.
    • Handle: RePEc:ris:actuec:v:64:y:1988:i:2:p:209-230
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    References listed on IDEAS

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    3. Chesher, Andrew D, 1984. "Testing for Neglected Heterogeneity," Econometrica, Econometric Society, vol. 52(4), pages 865-872, July.
    4. Bourguignon, Francois, 1979. "Decomposable Income Inequality Measures," Econometrica, Econometric Society, vol. 47(4), pages 901-920, July.
    5. Sheshinski, Eytan, 1972. "Relation between a social welfare function and the gini index of income inequality," Journal of Economic Theory, Elsevier, vol. 4(1), pages 98-100, February.
    6. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
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    Cited by:

    1. Peaucelle, Irina, 2002. "Capital social et anthroponomie," CEPREMAP Working Papers (Couverture Orange) 0204, CEPREMAP.
    2. François Legendre, 1992. "La distribution des rendements d'échelle dans l'industrie. Une illustration à partir d'un panel de plus de 700 entreprises françaises," Revue Économique, Programme National Persée, vol. 43(1), pages 71-100.
    3. Gourieroux Christian, 1988. "Hétérogénéité/ii/etude de biais (sous l'hypothèse d'exogénéité faible)," CEPREMAP Working Papers (Couverture Orange) 8817, CEPREMAP.

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