Carbon tax and OPEC's rents under a ceiling constraint

We study the Markov-perfect Nash equilibrium (MPNE) of a game between oil-importing countries, who seek to maintain the atmospheric carbon concentration under a given ceiling, and oil-exporting countries. The oil-importing countries set a carbon tax and the oil-exporting countries control the producer price. We obtain implicit feedback rules and explicit non-linear time paths of extraction, carbon tax, and producer price. Consumers are always able to reap some share of the scarcity and monopoly rents, whereas producers partially pre-empt the carbon tax only if the marginal damage under the ceiling is small. We compare the MPNE to the efficient, open-loop, and cartel-without-tax equilibria.