Numerical dynamic programming algorithms typically use Lagrange data to approximate value functions. This paper uses Hermite data obtained from the optimization step and applies Hermite interpolation to construct approximate value functions. Several examples show that Hermite interpolation...

Continuous time is a superior representation of both the economic and climate systems that Integrated Assessment Models (IAM) aim to study. Moreover, continuous-time representations are simple to express. Continuous-time models are usually solved by discretizing time, but the quality of a...

We use a dynamic stochastic general equilibrium model of integrated climate and economy (DSICE) to account for abrupt and irreversible climate change. We model a climate shock in the form of a stochastic tipping point. We investigate the impact of the tipping point externality on optimal...

This paper introduces a dynamic stochastic integrated model of climate and economy (DSICE), and a numerical dynamic programming algorithm for its solution. More specifically, we solve an example with annual time periods, a six hundred year horizon, and shocks to the economic and climate system....