Envelope theorems are established for locally differentiable Stackelberg equilibria of a general class of finite horizon differential games with an open-loop information structure. It is shown that the follower's envelope results agree in form with those of any player in an open-loop Nash...

Intercommunity disease spread can be modeled using a collection of discrete community “patches” with continuous population flow between them. In a susceptible–infected–susceptible (SIS) model residents of a community may either be classified as susceptible or infected. Infected...

We establish four necessary and sufficient conditions for the existence of the Averch-Johnson effect in a generalized version of their famous model of the rate-of-return regulated firm. The four necessary and sufficient conditions are then compared to the two stronger sufficient conditions for...

An exhaustive comparative statics analysis of a model of a monopolistic firm facing price-cap regulation and a variety of commonly implemented command-and-control environmental regulations is carried out. The comparative statics are intrinsic to each of the models and thus form their basic,...

A theory of a wealth maximizing, capital accumulating, price taking firm facing adjustment costs and operating in the presence of disembodied and price-induced technical progress is developed. The testable implications of the extended theory are derived under mild assumptions and are thus...

Optimal control theory is employed to characterize the socially optimal trajectory of the royalty per channel and the number of royalty-paying users of state-owned spectrum for broadcasting. The spectrum royalty is set by an omniscient public planner to maximize the sum of the discounted...

The intrinsic comparative statics properties of a general rate-of-return regulated, profitmaximizing model of a monopolist facing a command-and-control pollution constraint are derived. Recent advances in the theory of comparative statics are used to derive the basic comparative statics of the...