Forest management aims at building ecological networks that minimize the impacts on timber production. We formalize the construction of ecological networks in forest environments as the optimal control dynamic graph-theoretic problem. The ecological network is based on a set of bioreserves and...

This paper presents an optimal control model to analyze reforestations with two different species, including commercial values, carbon sequestration and biodiversity or scenic values. We solve the model qualitatively with general functions and discuss the implications of partial or total...

The paper develops a version of Pontryagin's maximum principle for optimal control problems with monotonicity constraints on control variables. Whereas the literature handles such constraints by imposing an assumption of piecewise smoothness on the control variable and treating the slope of this...

In this paper we analyze disinflation policy when a central bank has imperfect information about private sector inflation expectations but learns about them from economic outcomes, which are in part the result of the disinflation policy. The form of uncertainty is manifested as uncertainty about...

This paper extends economic models of optimal resource extraction by integrating biodiversity indicators. So far, biodiversity was only implicitly treated in models of multiple renewable resources, or it was considered in terms of (genetic) diversity or species richness only, but not in terms of...

In recent years, government aid agencies and international organizations have increased their financial commitments to controlling and eliminating malaria from the planet. This renewed emphasis on elimination is reminiscent of a previous worldwide campaign to eradicate malaria in the 1960s, a...

We study optimal experimentation by a monopolistic platform in a two-sided market framework. The platform provider faces uncertainty about the strength of the externality each side is exerting on the other. It maximizes the expected present value of its profit stream in a continuous-time...

This essay studies the optimal timing for a firm to adopt a new process innovation in the presence of learning. A policy that has been implemented by governments throughout the world to reduce the cost level of infant industries with positive externalities, is to either subsidize the research of...

We study optimal experimentation by a monopolistic platform in a two-sided mar- ket. The platform provider faces uncertainty about the strength of the externality each side is exerting on the other. It maximizes the expected present value of its profit stream in a continuous-time...

We study a two-phase endogenous growth model in which the adoption of a backstop technology (e.g. solar) yields a sustained supply of essential energy inputs previously obtained from exhaustible resources (e.g. oil). Growth is knowledge-driven and the optimal timing of technology switching is...