On some relations between several generalized convex DEA models

Louisa Andriamasy (), Walter Briec () and Stéphane Mussard
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Louisa Andriamasy: UEVE - Université d'Évry-Val-d'Essonne, LAMPS - LAboratoire de Modélisation Pluridisciplinaire et Simulations - UPVD - Université de Perpignan Via Domitia
Walter Briec: LAMPS - LAboratoire de Modélisation Pluridisciplinaire et Simulations - UPVD - Université de Perpignan Via Domitia

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Abstract: The purpose of this paper is to establish a topological relation between several known production models, precisely a link between -convex and Cobb–Douglas production models. The framework is based on the algebraic structures of the technology sets, issued from data envelopment, respecting either the assumption of constant elasticity of substitution and transformation (CES–CET) or -returns to scale. It is shown that the Painlevé–Kuratowski limit of the CES–CET technology provides either -convex or inverse -convex technologies. Also, -returns to scale models have topological limits relevant with constant return to scale -convex (or inverse -convex) technologies.

Keywords: Non-parametric production models; Painlevé–Kuratowski limit; lattice; CES–CET model; generalized convexity; alpha-returns to scale (search for similar items in EconPapers)
Date: 2017-02-07
New Economics Papers: this item is included in nep-eff
Note: View the original document on HAL open archive server: https://hal.science/hal-01781483v1
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Citations: View citations in EconPapers (4)

Published in Optimization, 2017, 66 (4), pp.547 - 570. ⟨10.1080/02331934.2017.1279159⟩

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Related works:
Working Paper: On Some Relations between Several Generalized Convex DEA Models (2016)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-01781483

DOI: 10.1080/02331934.2017.1279159

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