On some relations between several generalized convex DEA models. (3rd April 2017)

• Record Type: Journal Article
• Authors: Andriamasy, Louisa; Briec, Walter; Mussard, Stéphane
• Is Part Of: Optimization. Volume 66:Number 4(2017)
• Page Start: 547
• Page End: 570
• Publication Date: 2017-04-03
• Subjects: Non-parametric production models -- Painlevé–Kuratowski limit -- lattice -- CES–CET model -- generalized convexity -- -returns to scale; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2017.1279159
• Languages: English
• ISSNs: 0233-1934

Abstract

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.