Abstract
Dominant Competitive Factors, unique solutions to a new class of two-person ratio efficiency games, are introduced as a means for distinguishing exceptional aspects of individual performance. The vectors of input-output multipliers thus obtained may be analyzed collectively so that commonalities within groups and differences across groups may be discovered. The method is applied to "Program Follow-Through", the original impetus for developing Data Envelopment Analysis. Our results are compared with those of the earlier study, whereupon substantial new insights are obtained.
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References
R.D. Banker, A game theoretic approach to measuring efficiency, European Journal of Operational Research 5(1980)262–266.
R.D. Banker, A. Charnes and W.W. Cooper, Models for estimation of technical and scale inefficiencies in Data Envelopment Analysis, Management Science 30(1984)1078–1092.
R.D. Banker, A. Charnes, W.W. Cooper and R. Clarke, Constrained game formulations and interpretations for Data Envelopment Analysis, European Journal of Operational Research 40(1989) 299–308.
A. Charnes, Optimality and degeneracy in linear programming, Econometrica 20(1952)160–170.
A. Charnes, Constrained games and linear programming, Proceedings of the National Academy of Sciences 39(1953)639–641.
A. Charnes and W.W. Cooper, Management Models and Industrial Applications of Linear Programming, Wiley, New York, 1961.
A. Charnes and W.W. Cooper, Programming with linear fractional functionals, Naval Research Logistics Quarterly 9(1962)181–186.
A. Charnes and W.W. Cooper, The non-Archimedean CCR ratio for efficiency analysis: A rejoinder to Boyd and Färe, European Journal of Operational Research 15(1984)333–334.
A. Charnes, W.W. Cooper, B. Golany, L. Seiford and J. Stutz, Foundations of Data Envelopment Analysis for Pareto-Koopmans efficient empirical production functions, Journal of Econometrics 30(1985)91–107.
A. Charnes, W.W. Cooper and E. Rhodes, Measuring the efficiency of decision making units, European Journal of Operational Research 2(1978)429–444.
A. Charnes, W.W. Cooper and E. Rhodes, Evaluating program and managerial efficiency: An application of Data Envelopment Analysis to Program Follow-Through, Management Science 27 (1981)668–697.
B. Golany and J.J. Rousseau, Efficiency evaluation games, in: Systems and Management Science by Extremal Methods, F.Y. Phillips and J.J. Rousseau, eds., Kluwer Academic, Boston, 1992, pp. 327–347.
J.J. Rousseau and J.H. Semple, Two-person ratio efficiency games, Management Science 41(1995) 435–441.
J.J. Rousseau and J.H. Semple, Radii of classification preservation in Data Envelopment Analysis: Summary theory and an application to Program Follow-Through, Journal of the Operational Research Society 46(1995)943–957.
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Rousseau, J.J., Semple, J.H. Dominant Competitive Factors for evaluating program efficiency in grouped data. Annals of Operations Research 73, 253–276 (1997). https://doi.org/10.1023/A:1018933329202
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DOI: https://doi.org/10.1023/A:1018933329202