Axiomatic Foundations of Inefficiency Measurement on Space
AbstractWe provide an axiomatic foundation for efficiency measurement in the full space, referred to as “graph efficiency” measurement by Färe, Grosskopf, and Lovell . We posit four types of axioms: indication, monotonicity, independence of units of measurement, and continuity. We analyze six well-known inefficiency indexes from the operations-research and economics literature and discuss several other related indexes. We present two impossibility results demonstrating that no index can satisfy all of the axioms on a general class of (well-behaved) technologies. Specifically, no inefficiency index can satisfy both indication and continuity (in either quantities or technologies), and no inefficiency index can satisfy both monotonicity and unit independence. We present a full evaluation of the trade-offs involved in selecting among the indexes.
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Bibliographic InfoPaper provided by School of Economics, The University of New South Wales in its series Discussion Papers with number 2009-07.
Length: 27 pages
Date of creation: Apr 2009
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More information through EDIRC
Technical efficiency indexes; technical efficiency axioms;
Find related papers by JEL classification:
- C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
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- Steven Levkoff & R. Russell & William Schworm, 2012. "Boundary problems with the “Russell” graph measure of technical efficiency: a refinement," Journal of Productivity Analysis, Springer, vol. 37(3), pages 239-248, June.
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- Salnykov, Mykhaylo & Zelenyuk, Valentin, 2005. "On the Commensurability of Directional Distance Functions," MPRA Paper 7068, University Library of Munich, Germany.
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- Chambers, Robert G. & Chung, Yangho & Fare, Rolf, 1996. "Benefit and Distance Functions," Journal of Economic Theory, Elsevier, vol. 70(2), pages 407-419, August.
- R. Robert Russell & William Schworm, 2007.
"Axiomatic Foundations of Efficiency Measurement on Data-Generated Technologies,"
2007-35, School of Economics, The University of New South Wales.
- R. Russell & William Schworm, 2009. "Axiomatic foundations of efficiency measurement on data-generated technologies," Journal of Productivity Analysis, Springer, vol. 31(2), pages 77-86, April.
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