Abstract. 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 propose a model for an economy where risk neutral firms produce goods to satisfy an inelastic demand and are endowed with permits by the regulator in order to offset their pollution at compliance time and avoid having to pay a penalty. Firms that can easily reduce emissions do so, while those for which it is harder buy permits from those firms anticipating that they will not need them, creating a financial market for pollution credits. Our model...