Characterization of production sets through individual returns-to-scale: A non parametric specification and an illustration with the U.S industries

Jean-Philippe Boussemart (), Walter Briec, Raluca Parvulescu and Paola Ravelojaona ()
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Jean-Philippe Boussemart: LEM - Lille économie management - UMR 9221 - UA - Université d'Artois - UCL - Université catholique de Lille - Université de Lille - CNRS - Centre National de la Recherche Scientifique
Walter Briec: LAMPS - LAboratoire de Modélisation Pluridisciplinaire et Simulations - UPVD - Université de Perpignan Via Domitia
Raluca Parvulescu: LEM - Lille économie management - UMR 9221 - UA - Université d'Artois - UCL - Université catholique de Lille - Université de Lille - CNRS - Centre National de la Recherche Scientifique
Paola Ravelojaona: CEREFIGE - Centre Européen de Recherche en Economie Financière et Gestion des Entreprises - UL - Université de Lorraine

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Abstract: This paper proposes to estimate the returns-to-scale of production sets by considering the individual return of each observation, considered as a decision-making unit through the notion of -returns to scale assumption. Along this line, the global technology is then constructed as the intersection of all the individual technologies. Hence, an axiomatic foundation is proposed to present the notion of -returns to scale. This new characterization of the returns-to-scale encompasses the definition of -returns to scale, as a special case as well as the standard non-increasing and non-decreasing returns-to-scale models. A non-parametric procedure based on the goodness of fit approach is proposed to assess these individual returns-to-scale. To illustrate this notion of -returns to scale assumption, an empirical illustration is provided based on a dataset involving 63 industries constituting the whole American economy over the period 1987-2018.

Date: 2024-12
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Published in International Journal of Production Economics, 2024, pp.109433. ⟨10.1016/j.ijpe.2024.109433⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-04743241

DOI: 10.1016/j.ijpe.2024.109433

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