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The short-run approach to LRMC pricing for multiple outputs with nondifferentiable costs

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  • Horsley, Anthony
  • Wrobel, Andrew J.

Abstract

Using convex calculus, we extend the Wong-Viner Theorem to nondifferentiable costs by equating the capital inputs' rental prices to their profit-imputed marginal values. Thus extended, the short-run approach to LRMC pricing is applied to peak-load pricing with storage.

Suggested Citation

  • Horsley, Anthony & Wrobel, Andrew J., 2000. "The short-run approach to LRMC pricing for multiple outputs with nondifferentiable costs," LSE Research Online Documents on Economics 19338, London School of Economics and Political Science, LSE Library.
    • Handle: RePEc:ehl:lserod:19338
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    File URL: http://eprints.lse.ac.uk/19338/
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    References listed on IDEAS

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    1. repec:cep:stitep:300 is not listed on IDEAS
    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. 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.
    4. Horsley, Anthony & Wrobel, Andrew J., 1999. "Efficiency rents of storage plants in peak-load pricing, ii: hydroelectricity," LSE Research Online Documents on Economics 19342, London School of Economics and Political Science, LSE Library.
    5. Anthony Horsley & Andrew J Wrobel, 1996. "The Wong-Viner Envelope Theorem or Nonsmooth Joint Costs, Rental Valuation and the Short-Run Approach to Long-Run Equilibrium," STICERD - Theoretical Economics Paper Series /1996/299, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    6. repec:cep:stitep:301 is not listed on IDEAS
    7. repec:cep:stitep:299 is not listed on IDEAS
    8. 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.
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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. Horsley, Anthony & Wrobel, Andrew J., 2002. "Efficiency rents of pumped-storage plants and their uses for operation and investment decisions," Journal of Economic Dynamics and Control, Elsevier, vol. 27(1), pages 109-142, November.

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    More about this item

    Keywords

    Wong-Viner theorem; multiple outputs; peak-load pricing; energy storage;
    All these keywords.

    JEL classification:

    • D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models
    • D46 - Microeconomics - - Market Structure, Pricing, and Design - - - Value Theory
    • L94 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Electric Utilities
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

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