(a) For the single-stage model μ1 = 0.2,
σ1 = 0.1 and x0 = 0, while for
the two-stage model μ1 = 0.1,
μ2 = 0.5, σ1 =
σ2 = 0.1, x0 = 0 and
t1 = 0.15. The non-decision time Tnd =
0.3. The reward rate for the single-stage model is a unimodal function and achieves a unique
local maximum, while the reward rate for the two-stage model has two local maxima. (b) Optimal
threshold for two-stage model obtained by maximizing reward rate. The left panel shows the
variation of the optimal threshold as a function of t1 and
μ1. The other parameters are
μ2 = 0.5, σ1 =
σ2 = 0.1, and x0 = 0. The
regions of the contour plot associated with t1 = 0 and
μ1 = 0.5 correspond to the single-stage model.