• Corpus ID: 245329763

# Distance Functions and Generalized Means: Duality and Taxonomy

@inproceedings{Briec2021DistanceFA,
title={Distance Functions and Generalized Means: Duality and Taxonomy},
author={Walter Briec},
year={2021}
}
• W. Briec
• Published 17 December 2021
• Economics
This paper defines a new distance function in production theory that generalizes several existing efficiency measures. The new distance function is inspired from the Atkinson inequality index and maximizes the generalized sum of netput expansions until an efficient point is reached. Along this line, many measures of technical efficiency are derived from the maximization of a utility function built on the StoneGeary model. In particular, the directional distance function is expressed from the…

## References

SHOWING 1-10 OF 42 REFERENCES

### Benefit and Distance Functions

• Economics
• 1995
Abstract We explore the relationship between R. W. Shephard's input distance function (“Cost and Production Functions,” Princeton Univ. Press, Princeton, 1953) and D. G. Luenberger's benefit function

### Profit, Directional Distance Functions, and Nerlovian Efficiency

• Economics
• 1998
The directional technology distance function is introduced, given an interpretation as a min-max, and compared with other functional representations of the technology including the Shephard input and

### A Generalized Distance Function and the Analysis of Production Efficiency

• Economics
• 1999
A generalization of Shephard’s distance functions is proposed, extending the usefulness of distance functions in economic analysis. Applications to efficiency measurements and productivity analysis

### New optimality principles for economic efficiency and equilibrium

This paper develops several optimization principles relating the fundamental concepts of Pareto efficiency and competitive equilibria. The beginning point for this development is the introduction of

### Efficiency Estimation of Production Functions

• Economics
• 2013
Data Envelopment Analysis (DEA) is a Mathematical Programming technique that finds a number of applications to measure the performance of similar units. The performance of these units say Decision

### Properties of inefficiency indexes on 〈input, output〉 space

• Economics
• 2011
We analyze efficiency measurement in the full $$\langle$$input, output$$\rangle$$ space. We posit four types of axioms: indication (of efficient production bundles), monotonicity, independence of