Fat Tails, Thin Tails, and Climate Change Policy

Working Paper: NBER ID: w16353

Authors: Robert S. Pindyck

Abstract: Climate policy is complicated by the considerable compounded uncertainties over the costs and benefits of abatement. We don't even know the probability distributions for future temperatures and impacts, making cost-benefit analysis based on expected values challenging to say the least. There are good reasons to think that those probability distributions are fat-tailed, which implies that if social welfare is based on the expectation of a CRRA utility function, we should be willing to sacrifice close to 100% of GDP to reduce GHG emissions. I argue that unbounded marginal utility makes little sense, and once we put a bound on marginal utility, this implication of fat tails goes away: Expected marginal utility will be finite even if the distribution for outcomes is fat-tailed. Furthermore, depending on the bound on marginal utility, the index of risk aversion, and the damage function, a thin-tailed distribution can yield a higher expected marginal utility (and thus a greater willingness to pay for abatement) than a fat-tailed one.

Keywords: No keywords provided

JEL Codes: D81; Q51; Q54


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
temperature increases (T) (O39)consumption (C) (E20)
consumption (C) (E20)social welfare (U) (I38)
temperature increases (T) with fat-tailed distribution (C46)marginal utility (U_C) approaches infinity (D11)
bounded marginal utility (U_C) (D11)expected marginal utility remains finite (D11)
consumption (C) with thin-tailed distribution (C46)expected marginal utility (U_C) higher than fat-tailed (D81)

Back to index