Infeasibility and Directional Distance Functions with Application to the Determinateness of the Luenberger Productivity Indicator

Walter Briec () and Kristiaan Kerstens
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Walter Briec: University of Perpignan, LAMPS

No 2008-ECO-11, Working Papers from IESEG School of Management

Abstract: The purpose of this contribution is to highlight an underexplored property of the directional distance function, a recently introduced generalization of the Shephard distance function. It diagnoses in detail the economic conditions under which infeasibilities may occur for the case of directional distance functions and explores whether there exist any solutions that remedy the problem in an economically meaningful way. This discussion is linked to determinateness as a property in index theory and illustrated by analyzing the Luenberger total factor productivity indicator, based upon directional distance functions. This indicator turns out to be impossible to compute under certain weak conditions. A fortiori, the same problems can also occur for less general productivity indicators and indexes.

Keywords: Directional distance function; Shortage function; Well-definedness; Infeasibility; Determinateness (search for similar items in EconPapers)
Pages: 48 pages
Date: 2008-09
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (9)

Published in Journal of Optimization Theory and Applications,April 2009, 14(1), pp. 55-73

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Journal Article: Infeasibility and Directional Distance Functions with Application to the Determinateness of the Luenberger Productivity Indicator (2009)
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