A model of optimal harvesting natural resources is presented to show the appropriate management decision rule a natural-based society should follow to prevent its environment from over-exploitation. This optimal control analysis is likely to produce some changes in the topological structure of...

We solve the problem of a social planner who seeks to minimize inequality via transfers with a fixed public budget in a distribution of exogenously given incomes. The appropriate solution method depends on the objective function: If it is convex, as in the case of the absolute mean deviation, it...