A Meta-Analysis of Quasi-Hyperbolic Discounting
This paper reports a meta-analysis of 86 studies of the two parameters of quasi-hyperbolic ([Formula: see text]) discounting, the dominant model of self-control failures in behavioral economics. The central tenet of the model is that decision makers have a “present bias,” [Formula: see text], for immediate rewards, on top of standard exponential discounting of the future, [Formula: see text]. After correcting for selective reporting, we obtain a meta-analytic estimate of [Formula: see text] for money of 0.938, with 95% confidence interval [0.905, 0.972]. For nonmonetary rewards, our estimate of [Formula: see text] is 0.750, with 95% confidence interval [0.643, 0.857], and there is no evidence of selective reporting. We find that present bias for real effort, although stronger than for money, is weaker than for other rewards such as real consumption.