|This centre is a member of The LSE Research Laboratory [RLAB]: CASE | CVER | CEP | SERC | STICERD||Cookies?|
Paper No' TE/1996/301:
Save Reference as: BibTeX File | EndNote Import File
Is hard copy/paper copy available? NO - Paper Copy Out Of Print.
This Paper is published under the following series: Theoretical Economics
Share this page: Google Bookmarks | Facebook | Twitter
Abstract:Programming methods are given for rental valuation of storage and conversion facilities in cyclical, continuous-time pricing problems, e.g. pumped storage of electricity. By identifying the points of differentiability of the short-run profit function, unique and separate marginal values can be imputed to the different capital inputs, even though these are perfect complements (which, with multiple outputs, does not entail fixed input proportions). The short-run (profit-maximising) operation problem has a dual that gives the shadow prices of the stored intermediate good. Formulae for the quasi-rents are derived in terms of the shadow prices. In particular, the unit reservoir rent is shown to be equal to the total positive variation of the shadow price over the cycle. This is unique if the (given) market price for the final good is continuous over time. The shadow prices also determine the optimal storage policy. It is also shown, by studying input requirement functions, that continuous-time problems of this kind can be incorporated into a model of general competitive equilibrium with the space of bounded functions as the commodity space.
Copyright © RLAB & LSE 2003 - 2017 | LSE, Houghton Street, London WC2A 2AE | Contact: RLAB | Site updated 29 June 2017