Constrained game formulations and interpretations for data envelopment analysis
type: Item
instance of: scholarly article
title: Constrained game formulations and interpretations for data envelopment analysis
zbMATH Open document ID: 0669.90061
DOI: 10.1016/0377-2217(89)90422-0
author: S. H. Smith
published in: European Journal of Operational Research
publication date: 1989-01-01T00:00:00Z
review text: Constrained game formulations are provided for DEA (Data Envelopment Analysis) which extend the original (unconstrained) game formulations of \textit{R. Banker} [ibid. 5, 262-266 (1980; Zbl 0444.90058)]. Interpretations are also supplied which show how the optimal solutions may be used to improve the efficiency of DMUs (Decision Making Units) being evaluated with repeated uses of DEA. Uses of these ideas in testing for the presence of `organization slack', are described, as in the literature of organization theory. Possibilities are also suggested for uses of game theory to study tendencies toward specialization by some DMUs, including specializing tendencies which take the form of developing new products or undertaking other activities in escape pressures from the repeated use of relative evaluations that are present in market competition as well as DEA.
Mathematics Subject Classification ID: 90B50
Mathematics Subject Classification ID: 90C90
Mathematics Subject Classification ID: 91A80
Mathematics Subject Classification ID: 90C05
zbMATH DE Number: 4097122
zbMATH Keywords: Constrained game formulations
zbMATH Keywords: Data Envelopment Analysis
zbMATH Keywords: Decision Making
zbMATH Keywords: organization theory
MaRDI profile type: Publication
full work available at URL: 0377-2217(89)90422-0
OpenAlex ID: W1982127619
cites work: A game theoretic approach to measuring efficiency
cites work: Estimating most productive scale size using data envelopment analysis
cites work: Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis
cites work: Constrained Games and Linear Programming
cites work: Q3294638
cites work: Foundations of data envelopment analysis for Pareto-Koopmans efficient empirical production functions
cites work: Q3861184
cites work: Invariant multiplicative efficiency and piecewise Cobb-Douglas envelopments
cites work: Classifying and characterizing efficiencies and inefficiencies in data development analysis
description: scientific article; zbMATH DE number 4097122