The time course of perceptual choice is discussed in a model of gradual, le
aky, stochastic. and competitive information accumulation in nonlinear deci
sion units. Special cases of the model match a classical diffusion process,
but leakage and competition work together to address several challenges to
existing diffusion, random walk, and accumulator models. The model account
s for data from choice tasks using both time-controlled (e.g., response sig
nal) and standard reaction time paradigms and its adequacy compares favorab
ly with other approaches. A new paradigm that controls the time of arrival
of information supporting different choice alternatives provides further su
pport. The model captures choice behavior regardless of the number of alter
natives, accounting for the log-linear relation between reaction time and n
umber of alternatives (Hick's law) and explains a complex pattern of visual
and contextual priming in visual word identification.