The aim of this article is to give a general introduction to the theory of interacting particle methods, and an overview of its applications to computational finance. We survey the main techniques and results on interacting particle systems and explain how they can be applied to the numerical...

The main thrust of the paper is the design and the numerical analysis of new cap- and-trade schemes for the control and the reduction of atmospheric pollution. The tools developed are intended to help policy makers and regulators understand the pros and the cons of the emissions markets. We...