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Technical Efficiency in Firm Games with Constant Returns to Scale and α-Returns to Scale

Author

Listed:
  • Walter Briec

    (CRESEM - Centre de Recherche sur les Sociétés et Environnements en Méditerranées - UPVD - Université de Perpignan Via Domitia)

  • Marc Dubois

    (GREDI - Groupe de recherche en économie et développement international [Sherbrooke] - École de gestion de l'Université de Sherbrooke - UdeS - Université de Sherbrooke)

  • 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 & Marc Dubois & Stéphane Mussard, 2019. "Technical Efficiency in Firm Games with Constant Returns to Scale and α-Returns to Scale," Working Papers hal-02344310, HAL.
    • Handle: RePEc:hal:wpaper:hal-02344310
    Note: View the original document on HAL open archive server: https://hal.science/hal-02344310v2
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    References listed on IDEAS

    as
    1. 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.
    2. Lozano, S., 2012. "Information sharing in DEA: A cooperative game theory approach," European Journal of Operational Research, Elsevier, vol. 222(3), pages 558-565.
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    5. Li, Sung-Ko, 1995. "Relations between convexity and homogeneity in multioutput technologies," Journal of Mathematical Economics, Elsevier, vol. 24(4), pages 311-318.
    6. Lozano, S., 2013. "DEA production games," European Journal of Operational Research, Elsevier, vol. 231(2), pages 405-413.
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Directional Distance func- tion; Returns to scale; D24; Productivity and competitiveness; Aggregation; Cooperative games; Distance functions; Technical efficiency JEL Codes: D21; Complementarity;
    All these keywords.

    JEL classification:

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

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