Malmquist productivity index decompositions: a unifying framework1

Abstract

In two widely cited but unpublished working papers, Simar and Wilson (1998) and Zofío and Lovell (1998) proposed an alternative decomposition of the Malmquist Productivity Index, which retained what seemed to be the strongholds of previous proposals with regard to the contribution of technological and efficiency change to productivity change. Namely, a technical change term with regard to the best practice variable returns to scale (VRS) technology, which is to be found in Ray and Desli (1997) and a scale efficiency change term that illustrates a firm's situation with regard to optimal scale (benchmark technology), Färe et al . (1994). Attaining this objective required the introduction of an additional term in the Malmquist Productivity Index decomposition, which would reflect the scale bias of technical change. It is our objective to provide economic rationale for this term within a theory of production context, the existing decompositions and recent articles that further elaborate on this issue. The ideas are illustrated using productivity trends in 17 OECD countries. 1 This article has benefited from conversations with C. A. Knox Lovell, Leopold Simar and Paul Wilson. The author is the sole responsible for any errors in the text.