We develop an endogenous growth model in which long-run growth is driven by three engines: private abatement R&D, expanding-variety R&D, and capital accumulation. We show that an environmental tax activates private abatement by directing researchers from the variety R&D sector to the abatement R&D sector, which helps the economy avoid the environmental disaster. Our results also show that the effect of the environmental tax on long-run growth is uncertain, depending mainly on the relative productivity between the two R&D sectors. If the abatement R&D sector is sufficiently productive, increasing the environmental tax will enhance the balanced output growth rate and social welfare.
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Beladi et al. (2021) studied this question.