A socially desirable number of royalties-paying users of state-owned broadcasting spectrum is derived within an optimal control framework that allows free entry and exit. The analysis takes into account the trade-off between the benefits from higher variety and royalties’ revenues and the...

A socially desirable number of royalties-paying users of a state-owned broadcasting spectrum is derived within an optimal control framework where the adjustment of the number of users to above-normal profits is adversely affected by sunk costs. The optimal control takes into account the tradeoff...

Locust swarms hit subsistence-staple-crop-growing households at random and are not privately controllable. A regional aerial-spraying scheme that supports these households’ livelihood at the least cost is proposed. The properties of this scheme are analysed and two steady states are...

This paper uses optimal control theory to derive a desirable trajectory of the number of royalties-paying users of state-owned spectrum for broadcasting. The spectrum royalties are set by the public planner to maximize the consumers’ utilities over an infinite planning horizon. The...

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...

This paper deals dynamically with macroeconomic aspects of widespread substance abuse with a reference to illicit drugs as an example. Substance-abuse impedes the productivity of the labour force and subsequently economic growth. The labour force is divided into non-using and therefore fully...

A socially desirable number of royalties-paying users of a state-owned broadcasting spectrum is derived within an optimal control framework where the adjustment of the number of users to above-normal profits is adversely affected by sunk costs. The optimal control takes into account the tradeoff...

Locust swarms hit subsistence-staple-crop-growing households at random and are not privately controllable. An aerial-spraying optimal control model that supports the said households’ liveli-hood at least expected cost is therefore developed. The qualitative properties of the model are analysed...