Bewley's programme of excluding price singularities in equilibrium solutions for commodity spaces of bounded functions is reconsidered. From two recent examples in which singularities are indispensable, viz., marginal cost pricing in continuous time and an overlapping generations model, it is...

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...

Using subdifferentials we develop a marginal-analytical approach to equilibrium and use it in the commodity space L? to derive new results on the representation of prices by a density. Apart from conferring advantages when the intepretation of prices as marginal costs is required, the calculus...

The standard Wong-Viner envelope theorem is of little use in the context of production with multiple outputs because the differentiability assumptions its builds on are so severely restrictive that even the simplest of applications fail to satisfy them. Common sources of this failure are...

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...

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....

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...

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...

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...