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Analyzing cost efficient production behavior under economies of scope : a nonparametric methodology

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Author Info
Cherchye, Laurens
De Rock, Bram
Vermeulen, Frederic (Tilburg University, Center for Economic Research)

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Abstract

In designing a production model for firms that generate multiple outputs, we take as a starting point that such multi-output production refers to economies of scope, which in turn originate from joint input use and input externalities. We provide a nonparametric characterization of cost efficient behavior under these conditions, and subsequently institute necessary and sufficient conditions for data consistency with such efficient behavior that only include observed firm demand and supply data. We illustrate our methodology by examining the cost efficiency of research programs in Economics and Business Management faculties of Dutch universities. This application shows that the proposed methodology may entail robust conclusions regarding cost efficiency differences between universities within specific specialization areas, even when using shadow prices to evaluate the different inputs.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 81.

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Date of creation: 2006
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Handle: RePEc:dgr:kubcen:200681

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Find related papers by JEL classification:
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing
C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods
D21 - Microeconomics - - Production and Organizations - - - Firm Behavior
P32 - Economic Systems - - Socialist Institutions and Their Transitions - - - Collectives; Communes; Agricultural Institutions
Q12 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - Micro Analysis of Farm Firms, Farm Households, and Farm Input Markets

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Cherchye, L. & Abeele, P. Vanden, 2005. "On research efficiency: A micro-analysis of Dutch university research in Economics and Business Management," Research Policy, Elsevier, vol. 34(4), pages 495-516, May. [Downloadable!] (restricted)
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  2. Kim, Kwansoo & Barham, Bradford L. & Chavas, Jean-Paul & Foltz, Jeremy, 2005. "Research and Development at U.S. Research Universities: An Analysis of Scope Economies," Staff Paper Series 487, University of Wisconsin, Agricultural and Applied Economics. [Downloadable!]
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  3. Timo Kuosmanen & Laurens Cherchye & Timo Sipiläinen, 2003. "The Law of One Price in Data Envelopment Analysis: Restricting Weight Flexibility Across Firms," Microeconomics 0312006, EconWPA, revised 18 Dec 2003. [Downloadable!]
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  4. Adonis Yatchew, 1998. "Nonparametric Regression Techniques in Economics," Journal of Economic Literature, American Economic Association, vol. 36(2), pages 669-721, June. [Downloadable!] (restricted)
  5. Varian, Hal R, 1984. "The Nonparametric Approach to Production Analysis," Econometrica, Econometric Society, vol. 52(3), pages 579-97, May. [Downloadable!] (restricted)
  6. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November. [Downloadable!] (restricted)
  7. Hanoch, Giora & Rothschild, Michael, 1972. "Testing the Assumptions of Production Theory: A Nonparametric Approach," Journal of Political Economy, University of Chicago Press, vol. 80(2), pages 256-75, March-Apr. [Downloadable!] (restricted)
  8. Afriat, Sidney N, 1972. "Efficiency Estimation of Production Function," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 13(3), pages 568-98, October. [Downloadable!] (restricted)
  9. Cherchye, L. & Rock, B. de & Vermeulen, F.M.P., 2004. "The collective model of household consumption : a nonparametric characterization," Discussion Paper 76, Tilburg University, Center for Economic Research. [Downloadable!]
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  10. Cazals, Catherine & Florens, Jean-Pierre & Simar, Leopold, 2002. "Nonparametric frontier estimation: a robust approach," Journal of Econometrics, Elsevier, vol. 106(1), pages 1-25, January. [Downloadable!] (restricted)
  11. Varian, Hal R., 1990. "Goodness-of-fit in optimizing models," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 125-140. [Downloadable!] (restricted)
  12. Banker, Rajiv D & Maindiratta, Ajay, 1988. "Nonparametric Analysis of Technical and Allocative Efficiencies in Production," Econometrica, Econometric Society, vol. 56(6), pages 1315-32, November. [Downloadable!] (restricted)
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  1. Cherchye, Laurens & De Rock, Bram & Vermeulen, Frederic, 2008. "An Afriat Theorem for the Collective Model of Household Consumption," IZA Discussion Papers 3794, Institute for the Study of Labor (IZA). [Downloadable!]
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