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Uninterruptible Consumption, Concentrated Charges, and Equilibrium in the Commodity Space of Continuous Functions

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  • Anthony Horsley
  • Andrew J Wrobel

Abstract

Many consumption/production processes cannot be interrupted without significant loss of utility/ouput. In continuous-time equilibrium analysis, the structure of the demand for flows that results can lead to prices containing, in addition to charge accumulating over time at a finite rate, other charges which are concentrated in time and, in extreme cases, levied instantaneously. Mathematically, rates can be represented by the price densities familiar from Bewley's model, but instantaneous charges can be adequately represented only by pure-point measures. This means using the space of measures for price systems, and the space of continuous functions for commodity bundles. The known difficulties with equilibrium existence for this commodity space are removed by the local compactness properties of the feasible consumption/production sets (which hold in the case of utility/output derived only from completed processes).

Suggested Citation

  • 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.
    • Handle: RePEc:cep:stitep:/1996/300
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    Cited by:

    1. Anthony Horsley & Andrew Wrobel, 2005. "Continuity of the equilibrium price density and its uses in peak-load pricing," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 839-866, November.
    2. Anthony Horsley & Andrew J Wrobel, 1999. "Efficiency Rents of Storage Plants in Peak-Load Pricing, II: Hydroelectricity - (Now published as Efficiency rents of hydroelectric storage plants in continuous-time peak-load pricing, in The Current ," STICERD - Theoretical Economics Paper Series 372, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    3. Anthony Horsley & Andrew J Wrobel, 2000. "The Short-Run Approach to LRMC Pricing for Multiple Outputs with Nondifferentiable Costs," STICERD - Theoretical Economics Paper Series 393, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    4. Anthony Horsley & Andrew J Wrobel, 1999. "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," STICERD - Theoretical Economics Paper Series 371, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.

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