We study the optimal design of a carbon tax when a group of countries
seeks to maximize its net income minus its environmental costs, which
depend on the sum of CO2 emissions from all countries. When both produ
ction and consumption of internationally traded fossil fuels are taxed
, a particular combination of producer and consumer taxes exists which
is optimal. It is also shown that with this tax the sum of the consum
er tax and producer tax should be equal across all fossil fuels per un
it of carbon. On the other hand, when the cooperating countries use a
tax on consumption (or production) of fossil fuels as the only policy
instrument, the tax per unit of carbon should in general be differenti
ated across fossil fuels. We close the paper by giving an empirical il
lustration of the theoretical analysis, assuming that the cooperating
countries are those of the OECD.