We analyze how the threat of a potential future regime shift affects optimal management. We
use a simple general growth model to analyze four cases that involve combinations of stock …

Due to developing countries' original intention of implementing circular development,
secondary resource factories should have reduced environmental pollution. However, the …

Growing concerns over climate change and the potential for large damages due to nonlinear
processes underscore the need for a meaningful sustainability assessment of an economy …

Maintaining safe operating spaces for exploited natural systems in the face of uncertainty is
a key sustainability challenge. This challenge can be viewed as a problem in which human …

The purpose of this paper is to derive necessary conditions for optimal control in the
presence of threshold effects when the threshold is a curve in n-dimensional space of …

We consider a discrete-time version of the fish war model, where a regulator imposes a
moratorium on fishing activities whenever the stock reaches a predetermined critical low …

We study optimal climate policy in the presence of climate tipping points and solar
geoengineering. Solar geoengineering reduces temperatures without reducing greenhouse …

We establish some elementary results on solutions to the Bellman equation without
introducing any topological assumption. Under a small number of conditions, we show that …

Eutrophication of water bodies is a common problem in many countries. Eutrophication
processes are guided by thresholds, which must be taken into account in the formulation of …

Nine planetary boundaries have been proposed, capturing essential biophysical processes
that sustain the Earth System and its biosphere in an accommodating state for humanity …