Figure 4.

The HDTD model of hyperbolic discounting cannot produce precommitment behavior. (A) At the selected parameters, SS was preferred to LL and C was preferred to N. This bar graph represents the same data as (B) at R_S = 1.5. (B) As R_S increased, the preference for C overtook N exactly at the same point as the preference for SS overtook LL, meaning that this model would not precommit to avoid an impulsive choice. (C) In the HDTD model, the undiscounted value of C is between the discounted values of SS and LL. However, the values of C and N never cross, so C is preferred to N whenever SS is preferred to LL.