Using an endogenous growth model with physical and human capital accumulation, this paper considers the sustainability of economic growth when the use of a polluting input (e.g., fossil fuels) intensifies the risk of capital destruction through natural disasters. We find that growth is sustainable only if the tax rate on the polluting input increases over time. The long-term rate of economic growth follows an inverted V-shaped curve relative to the growth rate of the environmental tax, and it is maximized by the least aggressive tax policy of those that asymptotically eliminate the use of polluting inputs. Unavailability of insurance can accelerate or decelerate the growth-maximizing speed of the tax increase depending on the relative significance of the risk premium and precautionary savings effects. Welfare is maximized under a milder environmental tax policy, especially when the pollutants accumulate gradually.

This paper explores optimal environmental tax policy under which duopoly firms strategically choose the location of their plants in a simple three-stage game. We examine how the relationship between the optimal emission tax and the choice of location of duopoly firms affects the welfare of the home country. We characterize the relationship between the optimal emission tax and the fixed cost, depending on the degree of environmental damage from production. Finally, we show the existence of asymmetric equilibrium in which either firm chooses relocation of its plant even if the duopoly firms are identical ex ante.

A mutual link between poverty and environmental degradation is examined in an overlapping generations model. Environmental quality affects labor productivity and wealth dynamics, whereas wealth distribution determines the degree to which agents rely on technology that has a large environmental load, and therefore the evolution of environmental quality. This interaction creates a "poverty-environment trap," where a deteriorated environment lowers income, which, in turn, accelerates environmental degradation. We show that greater wealth heterogeneity is the key to escaping from the poverty-environment trap, although it can have negative effects on both the environment and output when not in the trap.

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In searching for an appropriate utility function in the expected utility framework, we formulate four properties that we want the utility function to satisfy. We conduct a search for such a function, and we identify Pareto utility as a function satisfying all four desired properties. Pareto utility is a flexible yet simple and parsimonious two-parameter family. It exhibits decreasing absolute risk aversion and increasing but bounded relative risk aversion. It is applicable irrespective of the probability distribution relevant to the prospect to be evaluated. Pareto utility is therefore particularly suited for catastrophic risk analysis. A new and related class of generalized exponential (gexpo) utility functions is also studied. This class is particularly relevant in situations where absolute risk tolerance is thought to be concave rather than linear.