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

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Listed:
  • Bram De Rock
  • Laurens Cherchye
  • Frederic Vermeulen

Abstract

In designing a production model for firms that generate multiple outputs, we take as a starting point that such multioutput 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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Suggested Citation

  • Bram De Rock & Laurens Cherchye & Frederic Vermeulen, 2008. "Analyzing cost efficient production behavior under economies of scope: a nonparametric methodology," ULB Institutional Repository 2013/7536, ULB -- Universite Libre de Bruxelles.
  • Handle: RePEc:ulb:ulbeco:2013/7536
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    References listed on IDEAS

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    1. 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.
    2. Baumol, William J, 1982. "Contestable Markets: An Uprising in the Theory of Industry Structure," American Economic Review, American Economic Association, vol. 72(1), pages 1-15, March.
    3. 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.
    4. 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 568-598, October.
    5. Varian, Hal R., 1990. "Goodness-of-fit in optimizing models," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 125-140.
    6. Niels Christian Petersen, 1990. "Data Envelopment Analysis on a Relaxed Set of Assumptions," Management Science, INFORMS, vol. 36(3), pages 305-314, March.
    7. 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.
    8. 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.
    9. Myles,Gareth D., 1995. "Public Economics," Cambridge Books, Cambridge University Press, number 9780521497695, April.
    10. Kuosmanen, Timo & Cherchye, Laurens & Sipilainen, Timo, 2006. "The law of one price in data envelopment analysis: Restricting weight flexibility across firms," European Journal of Operational Research, Elsevier, vol. 170(3), pages 735-757, May.
    11. Léopold Simar & Paul W. Wilson, 1998. "Sensitivity Analysis of Efficiency Scores: How to Bootstrap in Nonparametric Frontier Models," Management Science, INFORMS, vol. 44(1), pages 49-61, January.
    12. 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 256-275, March-Apr.
    13. Banker, Rajiv D & Maindiratta, Ajay, 1988. "Nonparametric Analysis of Technical and Allocative Efficiencies in Production," Econometrica, Econometric Society, vol. 56(6), pages 1315-1332, November.
    14. Adonis Yatchew, 1998. "Nonparametric Regression Techniques in Economics," Journal of Economic Literature, American Economic Association, vol. 36(2), pages 669-721, June.
    15. Peter Bogetoft, 1996. "DEA on Relaxed Convexity Assumptions," Management Science, INFORMS, vol. 42(3), pages 457-465, March.
    16. Varian, Hal R, 1984. "The Nonparametric Approach to Production Analysis," Econometrica, Econometric Society, vol. 52(3), pages 579-597, May.
    17. 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.
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    Cited by:

    1. repec:eee:jomega:v:75:y:2018:i:c:p:1-12 is not listed on IDEAS
    2. Stephanie McWhinnie & Kofi Otumawu-Apreku, 2013. "Evaluating Profit Efficiency of the South Australian Rock Lobster Fishery: Nerlovian and Directional Distance Function Approach," School of Economics Working Papers 2013-18, University of Adelaide, School of Economics.
    3. Cherchye, Laurens & De Rock, Bram & Vermeulen, Frederic, 2010. "An Afriat Theorem for the collective model of household consumption," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1142-1163, May.
    4. Laurens Cherchye & Bram De Rock & Barnabé Walheer, 2013. "Efficiency Analysis in the Presence of Bad Outputs," Working Papers ECARES ECARES 2013-12, ULB -- Universite Libre de Bruxelles.
    5. Carvalho, Pedro & Marques, Rui Cunha, 2014. "Computing economies of vertical integration, economies of scope and economies of scale using partial frontier nonparametric methods," European Journal of Operational Research, Elsevier, vol. 234(1), pages 292-307.
    6. De Witte, Kristof & Rogge, Nicky & Cherchye, Laurens & Van Puyenbroeck, Tom, 2013. "Economies of scope in research and teaching: A non-parametric investigation," Omega, Elsevier, vol. 41(2), pages 305-314.
    7. Cherchye, Laurens & Rock, Bram De & Walheer, Barnabé, 2015. "Multi-output efficiency with good and bad outputs," European Journal of Operational Research, Elsevier, vol. 240(3), pages 872-881.
    8. Laurens Cherchye & Bram De Rock & Veerle Hennebel, 2017. "Coordination efficiency in multi-output settings: a DEA approach," Annals of Operations Research, Springer, vol. 250(1), pages 205-233, March.
    9. Cherchye, Laurens & De Rock, Bram & Walheer, Barnabé, 2016. "Multi-output profit efficiency and directional distance functions," Omega, Elsevier, vol. 61(C), pages 100-109.
    10. Laurens Cherchye & Bram De Rock & Antonio Estache & Marijn Verschelde, 2015. "Efficiency Measures in Regulated Industries: History, Outstanding Challenges and Emerging Solutions," Working Papers ECARES ECARES 2015-09, ULB -- Universite Libre de Bruxelles.
    11. repec:kap:jproda:v:49:y:2018:i:1:d:10.1007_s11123-017-0523-5 is not listed on IDEAS
    12. Laurens Cherchye & Bram De Rock & Antonio Estache & Barnabé Walheer, 2013. "Reducing Energy Use without Affecting the Economic Objectives: a Sectoral Analysis," Working Papers ECARES ECARES 2013-11, ULB -- Universite Libre de Bruxelles.
    13. Blancard, Stéphane & Boussemart, Jean-Philippe & Chavas, Jean-Paul & Leleu, Hervé, 2016. "Potential gains from specialization and diversification further to the reorganization of activities," Omega, Elsevier, vol. 63(C), pages 60-68.
    14. Fabrice Talla Nobibon & Laurens Cherchye & Bram De Rock & Jeroen Sabbe & Frits Spieksma, 2011. "Heuristics for Deciding Collectively Rational Consumption Behavior," Computational Economics, Springer;Society for Computational Economics, vol. 38(2), pages 173-204, August.
    15. Cherchye, Laurens & De Rock, Bram & Hennebel, Veerle, 2014. "The economic meaning of Data Envelopment Analysis: A ‘behavioral’ perspective," Socio-Economic Planning Sciences, Elsevier, vol. 48(1), pages 29-37.
    16. Kwansoo Kim & Donghwan An, 2015. "Nonparametric Evaluation of Economies of Scope in the Context of Technical Efficiency: The Case of Rice and Vegetable Farms in Korea," Asian Economic Journal, East Asian Economic Association, vol. 29(3), pages 285-301, September.
    17. Stephanie McWhinnie & Kofi Otumawu-Apreku, 2013. "Profit Efficiency of the South Australian Rock Lobster Fishery: Nerlovian and Directional Distance Function Approach," School of Economics Working Papers 2013-13, University of Adelaide, School of Economics.

    More about this item

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • 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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