This article studies the trade-off between efficiency and equity objectives
within a model of commodity taxation. It derives two formulations for a ma
ny-person Ramsey tax rule in the presence of externalities. The first tax r
ule reveals that the aggregate compensated decrease in the demand for a tax
ed good should be the larger (i,) the more luxurious the good and (ii) the
stronger the tared and the polluting goods complement each other. The secon
d tar rule shows that the standard many-person Ramsey rule holds for the no
nenvironmental part of a commodity tar provided that the consumption of the
polluting good is already subject to a second-best optimal internalization
tax.