In this paper, we make use of the Sobolev space W 1,1 (R +, R n) to derive at once the Pontryagin conditions for the standard optimal growth model in continuous time, including a necessary and sufficient transversality condition. An application to the Ramsey model is given. We use an order ideal...

Dynamic optimization is widely used in financial economics, macroeconomics and resource economics. This is accounting for some tension between the undergraduate and graduate teaching of economics because most undergraduate programs still concentrate on static economic analysis. This paper shows...

The present paper is concerned with the optimal control of stochastic differential equations, where uncertainty stems from one or more independent Poisson processes. Optimal behavior in such a setup (e.g., optimal consumption) is usually determined by employing the Hamilton-Jacobi-Bellman...

We examine the relationship between a tree price and a tree age (height) using a Hotelling-Faustmann model of optimal plantation management, which accounts for the possibility of replanting and biological growth. The model's predictions are tested using the data on Christmas tree prices in North...