We give variants on Berge's Maximum Theorem in which the lower and the upper semicontinuities of the preference relation are assumed for two different topologies on the action set, i.e., the set of actions availabe a priori to the decision-maker (e.g. a household with its consumption set). Two...

Duality methods of linear and convex programming are applied to impute definite marginal values to the fixed inputs of a hydroelectric plant from the operating profit. Our earlier analysis of pumped storage (of energy and other cyclically priced goods) is thus extended to valuation of an...

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.

We apply duality methods of linear and convex programming to the problems of operation and rental valuation of facilities for conversion and storage of cyclically priced goods, e.g. , energy. Both problems are approached by shadow-pricing the stock (which is a purely intermediate commodity); and...

An extension of Berge's Maximum Theorem is given, with two different topologies on the choice set used for the two semicontinuity assumptions on preferences. It is used to establish the norm-to-weak* continuity of (truncated) excess-demand, announced without proof by Jones (1986). This...

A partial competitive equilibrium model is set up for the determination of profit-maximising investment in a production technique which has constant returns to scale itself, but at least one of its inputs has an increasing price schedule, so that its price is determined in equilibrium....

Localization techniques which facilitate verification of the topological properties of sets, functions and correspondences needed for equilibrium analysis in infinite-dimensional spaces are given. For example, it is shown that weak* upper semicontinuity (w*-u.s.c.) of a concave function (or a...

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...

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...