Dual Farrell measures of efficiency

Abstract

This paper provides several definitions of efficiency measures in the price space. Economic and scale aspects of inefficiency are considered to give empirical content to the measurement of efficiency when the production technology is described by cost functions models. It shows, in the Hanoch’s symmetric duality approach, how the new definitions preserve the ranking of efficiency, are formally dually symmetric to the ones defined in the input space, and both are established with respect to different descriptions of the same technology. In addition, graphical procedures are utilized to make an insight into the achievement of polar technologies from primal ones and into the relationship between Shephard’s lemma and Roy’s identity.