Top-down models usually include piecewise-smooth functions to describe marginal cost curves, while bottom-up models describe those curves with a step function. When a bottom-up cost curve is available, we can explicitly represent this curve with a top-down model in order to replicate its shape...

We explore two methods of incorporating bottom-up abatement cost estimates into top-down modeling: economy-wide and sector-specific. Carbon emissions depend basically on technology and scale. Given the technology options, abatement is possible without a substantial reduction in scale. Otherwise...

The paper discusses three general classes of nonlinear programming models. Our objective is to show how to represent optimization problem, such as nonlinear programs, in a compact format using extended mathematical programming. This is a useful tool, especially in cases when complementarity...