4 problems

Averaging conjecture. As $\varepsilon\downarrow0$, the optimal strategies $U^{\varepsilon,*}$ converge to the optimal strategy $\bar U^*$ of the averaged system.

Threshold bang-bang conjecture. Under these assumptions, the optimal harvesting strategy can be constructed using the environmental-state-dependent thresholds $u^*(k)$ in the displ…

Bang-bang strategy conjecture. If the cost function is not convex in the harvesting rate, then the optimal strategies are bang-bang, with thresholds that may depend on the states…

Consider a population evolving continuously in time under environmental stochasticity, with harvesting described by an adapted, non-negative, non-decreasing, right-continuous proce…