Nonparametric Analysis of Multi-Output Production with Joint Inputs

39 Pages Posted: 14 Jan 2012

See all articles by L. Cherchye

L. Cherchye

KU Leuven; Erasmus Research Institute of Management (ERIM)

Thomas Demuynck

Catholic University of Leuven (KUL) - Campus Kortrijk (KULAK) - Subfaculty of Economics and Applied Economics

Bram De Rock

Université Libre de Bruxelles (ULB) - European Center for Advanced Research in Economics and Statistics (ECARES)

K. De Witte

University of Leuven (KUL); Maastricht University

Date Written: December 14, 2011

Abstract

We present a novel framework for analyzing cost minimizing production behavior in multi-output settings. Our specific focus is on dealing with joint inputs, i.e. inputs that are simultaneously used for the production of multiple outputs. Here, we distinguish between two possible approaches. The cooperative approach takes a centralized perspective and assumes cost minimization at the aggregate firm level. By contrast, the noncooperative approach adopts a decentralized view and assumes cost minimization at the level of the individual output departments, which implies the possibility of free riding behavior for the joint inputs. Our framework is non-parametric in nature, which means that it allows for analyzing production behavior while avoiding (nonverifiable) prior functional structure for the production technology. We show that it naturally extends the existing nonparametric framework for analyzing single output production. We establish rationalizability conditions for cooperative as well as noncooperative production behavior. In addition, we introduce goodness-of-fit measures for evaluating the degree of violation of these conditions. An empirical application to the English and Welsh drinking water and sewerage sector shows the practical usefulness of our framework. Specifically, we compare the empirical validity of the cooperative and noncooperative models for describing the observed production behavior.

Keywords: cooperative behavior, noncooperative behavior, multi-output production, joint inputs, nonparametric analysis, water sector

JEL Classification: C14, D21, D22, D24

Suggested Citation

Cherchye, Laurens and Demuynck, Thomas and De Rock, Bram and De Witte, Kristof, Nonparametric Analysis of Multi-Output Production with Joint Inputs (December 14, 2011). Available at SSRN: https://ssrn.com/abstract=1984546 or http://dx.doi.org/10.2139/ssrn.1984546

Laurens Cherchye (Contact Author)

KU Leuven ( email )

Oude Markt 13
Leuven, Vlaams-Brabant
Belgium

Erasmus Research Institute of Management (ERIM)

P.O. Box 1738
3000 DR Rotterdam
Netherlands

Thomas Demuynck

Catholic University of Leuven (KUL) - Campus Kortrijk (KULAK) - Subfaculty of Economics and Applied Economics ( email )

Etienne Sabbelaan 53
Kortrijk, B-8500
Belgium

Bram De Rock

Université Libre de Bruxelles (ULB) - European Center for Advanced Research in Economics and Statistics (ECARES) ( email )

Av. F. D. Roosevelt, 50
CP 114
Brussels, B-1050
Belgium

Kristof De Witte

University of Leuven (KUL) ( email )

Naamsestraat 69
Leuven, Vlaams Brabant B-3000
Belgium

HOME PAGE: http://www.feb.kuleuven.be

Maastricht University ( email )

Boschstraat 24
Maastricht, Vlaams-Brabant 6211 AX
Netherlands
003216326656 (Phone)

HOME PAGE: http://www.feb.kuleuven.be

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