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[alpha]-Returns to scale and multi-output production technologies

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  • Boussemart, Jean-Philippe
  • Briec, Walter
  • Peypoch, Nicolas
  • Tavéra, Christophe

Abstract

This contribution proposes a specification of strictly increasing and decreasing returns to scale in multi-output technologies. Along this line a notion of [alpha]-returns to scale is derived from that of homogeneous multi-output technology. For a large class of technologies we establish necessary and sufficient conditions characterizing strictly increasing and strictly decreasing returns to scale to scale. Furthermore, a relationship between input, output and graph distance functions is established. These connections lead naturally to a link between the various Malmquist indexes and the Chavas-Cox productivity index. Finally, we show that these concepts can be implemented in a DEA context using a piecewise homogeneous constant elasticity substitution-transformation model due to [Färe, R., Grosskopf, S., Njinkeu, D., 1988b. On piecewise reference technologies. Management Science 34, 1507-1511].

Suggested Citation

  • Boussemart, Jean-Philippe & Briec, Walter & Peypoch, Nicolas & Tavéra, Christophe, 2009. "[alpha]-Returns to scale and multi-output production technologies," European Journal of Operational Research, Elsevier, vol. 197(1), pages 332-339, August.
  • Handle: RePEc:eee:ejores:v:197:y:2009:i:1:p:332-339
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    References listed on IDEAS

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    Cited by:

    1. Miningou, Élisé Wendlassida & Vierstraete, Valérie, 2013. "Households' living situation and the efficient provision of primary education in Burkina Faso," Economic Modelling, Elsevier, vol. 35(C), pages 910-917.
    2. J-P Boussemart & W Briec & H Leleu, 2009. "Linear programming solutions and distance functions under a constant returns to scale technology," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, pages 72-78.
    3. Leleu, Hervé & Moises, James & Valdmanis, Vivian, 2012. "Optimal productive size of hospital's intensive care units," International Journal of Production Economics, Elsevier, vol. 136(2), pages 297-305.
    4. Yu Sheng & Shiji Zhao & Katarina Nossal & Dandan Zhang, 2015. "Productivity and farm size in Australian agriculture: reinvestigating the returns to scale," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, pages 16-38.
    5. Rosa, Franco & Weaver, Robert D. & Vasciaveo, Michela, 2015. "Structural Changes and Dairy Chain Efficiency in Italy," International Journal on Food System Dynamics, International Center for Management, Communication, and Research, vol. 6(3).
    6. Kumbhakar, Subal C., 2012. "Specification and estimation of primal production models," European Journal of Operational Research, Elsevier, vol. 217(3), pages 509-518.
    7. Briec, Walter & Peypoch, Nicolas & Ratsimbanierana, Hermann, 2011. "Productivity growth and biased technological change in hydroelectric dams," Energy Economics, Elsevier, vol. 33(5), pages 853-858, September.
    8. Pestana Barros, Carlos & Peypoch, Nicolas, 2010. "Productivity changes in Portuguese bus companies," Transport Policy, Elsevier, vol. 17(5), pages 295-302, September.

    More about this item

    Keywords

    D24 Returns to scale Distance function Productivity growth Malmquist index;

    JEL classification:

    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

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