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...

A mood-utility link is incorporated into a theory of rational consumption and investment in personal health, whereby one’s mood worsens as instantaneous utility falls below a threshold but improves as instantaneous utility rises above it. The analysis is conducted within an intertemporal...

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' livelihood at least expected cost is therefore developed. The qualitative properties of the model are analysed...