In this paper we intend to establish relations between the way efficiency is measured in the literature on efficiency analysis, and the notion of distance in topology. In particular we study the Holder norms and their relationship to the shortage function (Luenberger (1995) and the directional...

We have two goals we wish to accomplish in this article. The first is the development of a framework for measuring efficiency in the full input–output space. This approach introduces a graph-type extension of the Farrell measure of technical efficiency. The second is the introduction of a...