A game theoretic approach to measuring efficiency
European Journal of Operational ResearchPublished 1 October 1980
Rajiv D. Banker
Citations95
SJR quartileQ1
SJR score2.24
SNIP2.62
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
Abstract
Correspondence with a new mathematical programming definition for efficiency as proposed by Charnes, Cooper and Rhodes (CCR) is established by means of game theoretical models. Contact with all of the CCR results is also maintained so that their results extend to our new game theoretic interpretations. The latter proceeds by means of a family of games related to a linear programming problem. The games-to-programming relations which we establish also open new possibilities for further relations between families of games and linear programs.
Keywords
Decision SciencesEngineeringBusiness, Management and Accounting
European Journal of Operational ResearchMeasuring the efficiency of decision making units
28,688 Citations1978A. Charnes, W. W. Cooper +1 more
A nonlinear (nonconvex) programming model provides a new definition of efficiency for use in evaluating activities of not-for-profit entities participating in public programs and methods for objectively determining weights by reference to the observational data for the multiple outputs and multiple inputs that characterize such programs.
Lecture notes in economics and mathematical systemsCost and Production Functions
1,916 Citations1981Ronald W. Shephard
Management ScienceManagement Models and Industrial Applications of Linear Programming
1,899 Citations1957A. Charnes, W. W. Cooper
Management Science Relations for Evaluation and Management Accountability
41 Citations1979A. Charnes, W. W. Cooper
A new mathematical programming model for deriving analytic representations of extremal frontiers or envelopes from empirical data and for measuring the efficiency of not-for-profit entities is devoted.