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The Density Form of Equilibrium Prices in Continuous Time and Boiteuxs Solution to the Shifting-Peak Problem- (Now published as Boiteuxs solution to the shifting-peak problem and the equilibrium price density in continuous time, in Economic Theory, vol. 20 (2002), pp.503-537.)

  • Anthony Horsley
  • Andrew J Wrobel

Bewley's condition on production sets, imposed to ensure the existence of an equilibrium price density when L? is the commodity space, is weakened to allow applications to continuous-time problems, and especially to peak-load pricing when the users' utility and production function are Mackey continuous. A general form of the production sets with the required property is identified, and examples are given of technologies which meet the weakened but not the original condition: these include industrial use and storage of cyclically priced goods. General equilibrium results are supplemented by those for prices supporting individual consumer or producer optima. Also, to make clear the restriction implicit in Mackey continuity, we interpret it as interruptibility of demand; and we point out that, without this assumption, the equilibrium can feature pointed peaks with singular, instantaneous capacity charges.

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Paper provided by Suntory and Toyota International Centres for Economics and Related Disciplines, LSE in its series STICERD - Theoretical Economics Paper Series with number 371.

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Date of creation: Oct 1999
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Handle: RePEc:cep:stitep:371
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  1. Horsley, A. & Wrobel, A.J., 1990. "The Closedness of the Free-Disposal Hull of a Production Set," Discussion Paper 1990-13, Tilburg University, Center for Economic Research.
  2. Anthony Horsley & Andrew J Wrobel, 1996. "Efficiency Rents of Storage Plants in Peak-Load Pricing, I: Pumped Storage," STICERD - Theoretical Economics Paper Series /1996/301, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  3. Richard, Scott F., 1989. "A new approach to production equilibria in vector lattices," Journal of Mathematical Economics, Elsevier, vol. 18(1), pages 41-56, February.
  4. Anthony Horsley & Andrew J. Wrobel & Timothy Van Zandt, 1998. "Berge's maximum theorem with two topologies on the action set," LSE Research Online Documents on Economics 19358, London School of Economics and Political Science, LSE Library.
  5. Gerard Debreu, 1961. "New Concepts and Techniques for Equilibrium Analysis," Cowles Foundation Discussion Papers 129, Cowles Foundation for Research in Economics, Yale University.
  6. Back, Kerry, 1988. "Structure of consumption sets and existence of equilibria in infinite-dimensional spaces," Journal of Mathematical Economics, Elsevier, vol. 17(1), pages 89-99, February.
  7. Horsley, A. & Wrobel, A., 1990. "The Existence Of An Equilibrium Density For Marginal Cost Prices, And The Solution To The Shifting-Peak Problem," Papers 9012, Tilburg - Center for Economic Research.
  8. Anthony Horsley & Andrew J Wrobel, 1992. "Continuity of Demand and the Direct Approach to Equilibrium Existence in Dual Banach Commodity Spaces - (Now published as 'Berge's Maximum Theorem with two topologies on the action set', in Economics ," STICERD - Theoretical Economics Paper Series /1992/246, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  9. Anthony Horsley & Andrew J Wrobel, 1996. "Uninterruptible Consumption, Concentrated Charges, and Equilibrium in the Commodity Space of Continuous Functions," STICERD - Theoretical Economics Paper Series /1996/300, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  10. Bewley, Truman F., 1972. "Existence of equilibria in economies with infinitely many commodities," Journal of Economic Theory, Elsevier, vol. 4(3), pages 514-540, June.
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