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Shadow Profit Maximization and a Generalized Measure of Inefficiency

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Author Info
Subhash C. Ray (University of Connecticut)

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Abstract

Determining the profit maximizing input-output bundle of a firm requires data on prices. This paper shows how endogenously determined shadow prices can be used in place of actual prices to obtain the optimal input-output bundle where the firm.s shadow profit is maximized. This approach amounts to an application of the Weak Axiom of Profit Maximization (WAPM) formulated by Varian (1984) based on shadow prices rather than actual prices. At these prices the shadow profit of a firm is zero. Thus, the maximum profit that could have been attained at some other input-output bundle is a measure of the inefficiency of the firm. Because the benchmark input-output bundle is always an observed bundle from the data, it can be determined without having to solve any elaborate programming problem. An empirical application to U.S. airlines data illustrates the proposed methodology.

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File URL: http://www.econ.uconn.edu/working/2005-14.pdf
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Publisher Info
Paper provided by University of Connecticut, Department of Economics in its series Working papers with number 2005-14.

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Length: 22 pages
Date of creation: May 2005
Date of revision:
Handle: RePEc:uct:uconnp:2005-14

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Related research
Keywords: DEA; Shadow Prices; Non-radial Efficiency;

Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
D21 - Microeconomics - - Production and Organizations - - - Firm Behavior

This paper has been announced in the following NEP Reports:

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  1. Varian, Hal R, 1984. "The Nonparametric Approach to Production Analysis," Econometrica, Econometric Society, vol. 52(3), pages 579-97, May. [Downloadable!] (restricted)
  2. Athanassopoulos, Antreas D. & Lambroukos, Nikos & Seiford, Lawrence, 1999. "Data envelopment scenario analysis for setting targets to electricity generating plants," European Journal of Operational Research, Elsevier, vol. 115(3), pages 413-428, June. [Downloadable!] (restricted)
  3. Chambers, Robert G. & Chung, Yangho & Fare, Rolf, 1996. "Benefit and Distance Functions," Journal of Economic Theory, Elsevier, vol. 70(2), pages 407-419, August. [Downloadable!] (restricted)
  4. Douglas W. Caves & Laurits R. Christensen & Michael W. Tretheway, 1984. "Economies of Density versus Economies of Scale: Why Trunk and Local Service Airline Costs Differ," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 471-489, Winter. [Downloadable!] (restricted)
  5. Ray, Subhash C & Mukherjee, Kankana, 1996. "Decomposition of the Fisher Ideal Index of Productivity: A Non-parametric Dual Analysis of US Airlines Data," Economic Journal, Royal Economic Society, vol. 106(439), pages 1659-78, November. [Downloadable!] (restricted)
  6. Pastor, J. T. & Ruiz, J. L. & Sirvent, I., 1999. "An enhanced DEA Russell graph efficiency measure," European Journal of Operational Research, Elsevier, vol. 115(3), pages 596-607, June. [Downloadable!] (restricted)
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This page was last updated on 2009-10-28.


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