Undesirable outputs are often produced together with desirable outputs. This joint production of good and bad outputs brings about a difficulty for productivity measurement. Here we introduce a directional distance function and use it as a component in a new productivity index. This index, as an...

The purpose of this paper is to develop models with and without emissions trading and to compare industry profits under the two regimes. The model in which emissions trading is permitted is a nonparametric industry frontier model in the spirit of Fare, Grosskopf and Li (1992). It is relative to...

This paper introduces an intertemporal variable cost indirect technology which permits technological change over time, as well as allowing for intertemporal financial flexibility. It characterizes firms or agencies which maximize outputs or services subject to a budget constraint. We define...

The purpose of this paper is to introduce a frontier model for productivity measurement that explicitly recognizes that some inputs are produced and consumed within the production technology. Here we differ from Koopmans (1951) by assuming that the intermediate inputs may also be final output....

A dual representation of a technology, e.g., a cost function, may not contain all of the technological information, but it will contain all of the information about input vectors that would be chosen by a cost-minimizing firm. At least this much is clear for deterministic technologies. The main...

This paper critiques a recent attempt to model pollution prevention using data envelopment analysis (DEA). We contribute an alternative model which explicitly models joint provision of desirable and undesirable outputs (a la Shephard and Fare (1974)), using weak disposability of output. We also...