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Shadow Prices for a Nonconvex Public Technology in the Presence of Private Constant Returns

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Author Info
John A. Weymark () (Department of Economics, Vanderbilt University)

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Abstract

Diamond and Mirrlees have shown that public sector shadow prices should be set equal to the private producer prices in some circumstances even if taxes are not optimal when the public production technology is convex and some of the private sector firms have constant-returns-to-scale technologies. In this article, it is shown that the optimal public production plan maximizes profits using the private producer prices on a subset of the public production set if this set is nonconvex. Sufficient conditions for profit maximization using these prices to identify the optimal public production plan on the whole public production set are also identified.

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File URL: http://www.vanderbilt.edu/Econ/wparchive/workpaper/vu05-w01.pdf
File Format: application/pdf
File Function: First version, 2005
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Publisher Info
Paper provided by Department of Economics, Vanderbilt University in its series Working Papers with number 0501.

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Date of creation: Jan 2005
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Handle: RePEc:van:wpaper:0501

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Postal: Box 1819, Station B, Nashville, TN 37235
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Web page: http://sitemason.vanderbilt.edu/econ/
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Related research
Keywords: Shadow prices; public sector pricing; Diamond and Mirrlees;

Find related papers by JEL classification:
D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation

This paper has been announced in the following NEP Reports:

References listed on IDEAS
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  1. Weymark, John A, 1981. "On Sums of Production Set Frontiers," Review of Economic Studies, Blackwell Publishing, vol. 48(1), pages 179-83, January. [Downloadable!] (restricted)
  2. Peter A. Diamond & J. A. Mirrlees, 1968. "Optimal Taxation and Public Production," Working papers 22, Massachusetts Institute of Technology (MIT), Department of Economics.
  3. Bos, Dieter, 1985. "Public sector pricing," Handbook of Public Economics, in: A. J. Auerbach & M. Feldstein (ed.), Handbook of Public Economics, edition 1, volume 1, chapter 3, pages 129-211 Elsevier. [Downloadable!] (restricted)
  4. Diamond, P A & Mirrlees, James A, 1976. "Private Constant Returns and Public Shadow Prices," Review of Economic Studies, Blackwell Publishing, vol. 43(1), pages 41-47, February. [Downloadable!] (restricted)
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  5. repec:cup:cbooks:9780521629560 is not listed on IDEAS
  6. Moore, James C & Whinston, Andrew B & Wu, Joseph S, 1972. "Resource Allocation in a Non-convex Economy," Review of Economic Studies, Blackwell Publishing, vol. 39(3), pages 303-23, July. [Downloadable!] (restricted)
  7. Guesnerie, Roger, 1979. "General statements on second best pareto optimality," Journal of Mathematical Economics, Elsevier, vol. 6(2), pages 169-194, July. [Downloadable!] (restricted)
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