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Improvement of Technical Efficiency of Firm Groups

Author

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  • Walter Briec

    (IAE Perpignan - Institut d'Administration des Entreprises - Perpignan - UPVD - Université de Perpignan Via Domitia, LAMPS - LAboratoire de Modélisation Pluridisciplinaire et Simulations - UPVD - Université de Perpignan Via Domitia)

  • Stéphane Mussard

    (CHROME - Détection, évaluation, gestion des risques CHROniques et éMErgents (CHROME) / Université de Nîmes - UNIMES - Université de Nîmes)

Abstract

Cooperation between firms can never improve the technical efficiency of any firm coalition. The directional distance function, by virtue of its additive nature, is a useful tool that outlines this impossibility. In this paper, the additive aggregation scheme of input/output vectors is generalized according to an aggregator. Accordingly, cooperation between firms may increase the technical efficiency of the firm group. This improvement is shown to be compatible with nonjoint semilattice technologies that bring out either output or input (weak) complementarity. Firm games are investigated to show that firms may merge on the basis of their inputs due to constraints imposed on outputs. Conversely, they may merge with respect to the outputs they can produce because of limitations imposed on inputs.

Suggested Citation

  • Walter Briec & Stéphane Mussard, 2019. "Improvement of Technical Efficiency of Firm Groups," Post-Print hal-02387847, HAL.
  • Handle: RePEc:hal:journl:hal-02387847
    DOI: 10.1016/j.ejor.2019.11.048
    Note: View the original document on HAL open archive server: https://hal.science/hal-02387847
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    References listed on IDEAS

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    1. Charles Blackorby & R. Russell, 1999. "Aggregation of Efficiency Indices," Journal of Productivity Analysis, Springer, vol. 12(1), pages 5-20, August.
    2. Briec, Walter & Mussard, Stéphane, 2014. "Efficient firm groups: Allocative efficiency in cooperative games," European Journal of Operational Research, Elsevier, vol. 239(1), pages 286-296.
    3. Lozano, S., 2012. "Information sharing in DEA: A cooperative game theory approach," European Journal of Operational Research, Elsevier, vol. 222(3), pages 558-565.
    4. Peyrache, Antonio, 2013. "Industry structural inefficiency and potential gains from mergers and break-ups: A comprehensive approach," European Journal of Operational Research, Elsevier, vol. 230(2), pages 422-430.
    5. Mussard, Stephane & Peypoch, Nicolas, 2006. "On multi-decomposition of the aggregate Malmquist productivity index," Economics Letters, Elsevier, vol. 91(3), pages 436-443, June.
    6. repec:bla:scandj:v:94:y:1992:i:4:p:599-608 is not listed on IDEAS
    7. W. Briec & K. Kerstens, 2009. "Infeasibility and Directional Distance Functions with Application to the Determinateness of the Luenberger Productivity Indicator," Journal of Optimization Theory and Applications, Springer, vol. 141(1), pages 55-73, April.
    8. Rolf Fare & Shawna Grosskopf & Valentin Zelenyuk, 2008. "Aggregation of Nerlovian profit indicator," Applied Economics Letters, Taylor & Francis Journals, vol. 15(11), pages 845-847.
    9. Li, Sung-Ko, 1995. "Relations between convexity and homogeneity in multioutput technologies," Journal of Mathematical Economics, Elsevier, vol. 24(4), pages 311-318.
    10. Chambers,Robert G., 1988. "Applied Production Analysis," Cambridge Books, Cambridge University Press, number 9780521314275, September.
    11. Walter Briec & Benoit Dervaux & Hervé Leleu, 2003. "Aggregation of Directional Distance Functions and Industrial Efficiency," Journal of Economics, Springer, vol. 79(3), pages 237-261, July.
    12. Chambers,Robert G. & Quiggin,John, 2000. "Uncertainty, Production, Choice, and Agency," Cambridge Books, Cambridge University Press, number 9780521785235.
    13. R. G. Chambers & Y. Chung & R. Färe, 1998. "Profit, Directional Distance Functions, and Nerlovian Efficiency," Journal of Optimization Theory and Applications, Springer, vol. 98(2), pages 351-364, August.
    14. Lozano, S., 2013. "DEA production games," European Journal of Operational Research, Elsevier, vol. 231(2), pages 405-413.
    15. Robert G. Chambers, 2002. "Exact nonradial input, output, and productivity measurement," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(4), pages 751-765.
    16. Luenberger, David G., 1992. "Benefit functions and duality," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 461-481.
    17. Charles Blackorby & David Donaldson & Maria Auersperg, 1981. "A New Procedure for the Measurement of Inequality within and among Population Subgroups," Canadian Journal of Economics, Canadian Economics Association, vol. 14(4), pages 665-685, November.
    18. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "The Economic Theory of Index Numbers and the Measurement of Input, Output, and Productivity," Econometrica, Econometric Society, vol. 50(6), pages 1393-1414, November.
    19. Louisa Andriamasy & Walter Briec & Stephane Mussard, 2016. "On Some Relations between Several Generalized Convex DEA Models," Cahiers de recherche 16-02, Departement d'économique de l'École de gestion à l'Université de Sherbrooke.
    20. Ravelojaona, Paola, 2019. "On constant elasticity of substitution – Constant elasticity of transformation Directional Distance Functions," European Journal of Operational Research, Elsevier, vol. 272(2), pages 780-791.
    21. Briec, Walter & Liang, Qi Bin, 2011. "On some semilattice structures for production technologies," European Journal of Operational Research, Elsevier, vol. 215(3), pages 740-749, December.
    22. Walter Briec & K. Kerstens, 2009. "Infeasibilities and directional distance functions: with application to the determinateness of the luenberger productivity indicator," Post-Print hal-00372560, HAL.
    23. Ulrich Kohli, 1983. "Non-joint Technologies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(1), pages 209-219.
    24. Robert G. Chambers & Rolf Färe, 1998. "Translation homotheticity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(3), pages 629-641.
    25. Kohli, Ulrich R, 1981. "Nonjointness and Factor Intensity in U.S. Production," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(1), pages 3-18, February.
    26. Chambers, Robert G. & Chung, Yangho & Fare, Rolf, 1996. "Benefit and Distance Functions," Journal of Economic Theory, Elsevier, vol. 70(2), pages 407-419, August.
    27. Post, Thierry, 2001. "Transconcave data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 132(2), pages 374-389, July.
    28. Luenberger, David G., 1995. "Externalities and benefits," Journal of Mathematical Economics, Elsevier, vol. 24(2), pages 159-177.
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    4. Wang, Ding & Guo, Peng & Kilgour, D. Marc & Ponnambalam, Kumaraswamy & Hipel, Keith W., 2022. "The evolution of R&D collaboration in inter-organizational project networks: Effects of reference points for competitive preference," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 591(C).

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    More about this item

    Keywords

    Productivity and competitiveness; Aggregation; Cooperative games; Distance functions; Technical efficiency JEL Codes: D21; D24;
    All these keywords.

    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

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