Analyses were also performed using the area under the empirical discounting curve (AUC), another popular index of discounting closely related to ln(k) (Myerson et al., 2001). Lower AUC values indicate steeper discounting of delayed rewards. The additional analyses yielded the same results. Results using AUC are displayed in the Supplementary Material (Tables S.3 and S.4, Figures S.2, and S.5–S.9).