Figure 5.

Qualitative predictions for the logistic versions of the drift-diffusion model using manually chosen parameters. Blue and red lines correspond to horizon 1 and 6, respectively. (A) With appropriately chosen parameter values, there are four ways in which the diffusion model reduces to the logistic choice model. All four models have identical choice behavior. However, they differ in the patterns of response times that they produce (B,C,D,E). (B,C) In the case where threshold is independent of reward and information, $c_R^{\beta }=c_I^{\beta }=0$, there is a maximum response time. A change in drift with horizon leads to slower response times in horizon 6 than horizon 1 (B), while a change in threshold with horizon leads to faster response times in horizon 6 than horizon 1 (C). (D,E) When drift rate is independent of reward and information, $c_R^{\mu }=c_I^{\mu }=0$, there is a minimum response time. A change in baseline drift with horizon leads to (mostly) an increase in response times in horizon 6, while a change in threshold leads to a decrease in response times in horizon 6. See section 3 of the Supplementary Material for parameter values.