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Set-up costs and the existence of competitive equilibrium when extraction capacity is limited

UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
Stephen P. Holland, Associate Professor (Creator)
Institution
The University of North Carolina at Greensboro (UNCG )
Web Site: http://library.uncg.edu/

Abstract: Although set-up costs are prevalent and substantial in natural resource extraction, it is known that a Walrasian competitive equilibrium cannot exist in simple extraction models with set-up costs. This paper demonstrates that this result is sensitive to the assumption of unlimited extraction capacity and derives sufficient conditions for existence. An equilibrium exists if extraction is limited such that each firm earns sufficient surplus to cover its set-up costs or if firms choose extraction capacity subject to non-increasing returns. The resulting competitive equilibrium price either grows at the rate of interest when total extraction is below industry capacity or is constant when industry capacity is fully utilized. In the equilibrium, identical deposits are opened simultaneously, and set-up costs for new deposits are incurred when the industry has excess capacity rather than when capacity is fully utilized.

Additional Information

Publication
Journal of Environmental Economics and Management 46(3) November 2003, p. 539-56.
Language: English
Date: 2003
Keywords
Natural resource extraction, Exhaustible resources, Extraction constraints, Set-up costs, Competitive equilibrium, Non-convexity, Capacity installation