Production function regressions, returns to scale, and externalities

Characterization of efficient points of the production possibility set under variable returns to scale in DEA

  We suggest a method for finding the non-dominated points of the production possibility set (PPS) with variable returns to scale (VRS) technology in data envelopment analysis (DEA). We present a multiobjective linear programming (MOLP) problem whose feasible region is the same as the PPS under variable returns to scale for generating non-dominated points. We demonstrate that Pareto solutions o...

Two-stage Production Systems under Variable Returns to Scale Technology: A DEA Approach

Data envelopment analysis (DEA) is a non-parametric approach for performance analysis of decision making units (DMUs) which uses a set of inputs to produce a set of outputs without the need to consider internal operations of each unit. In recent years, there have been various studies dealt with two-stage production systems, i.e. systems which consume some inputs in their first stage to produce ...

Marginal Values and Returns to Scale for Nonparametric Production Frontiers

A Non-substitution Theorem with Non-constant Returns to Scale and Externalities

An input-output model with non-constant returns to scale and externalities is presented, and it is shown that in this model, the non-substitution theorem is still valid. More precisely, the quantity side of the theorem, i.e., the proposition on efficiency, remains valid, while there can be no equilibrium prices independent of final demand.

An input-oriented radial measure for returns to scale aggregation.

In production theory, it is necessary to be capable of predicting the production func- tion’s long-run behaviors. Hereof, returns to scale is a helpful concept. Returns to scale describes the reaction of a production function to the proportionally scaling all its input variables. In this regard, Data envelopment analysis (DEA) provides a com- prehensive framework for returns to scale evaluation...