A two-state model of simple reaction time

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Many models have been proposed, each of which emphasizes
a different aspect of choice reaction time. To the author,
Falmagne(1965)'s two-state model is most interesting because
of the following two reasons;
1). It has very simple structure, i.e., it assumes only two
states. Comparing two-state, three-state and four-state models,
Lupker and Theios(1975) concluded that the two-state model
could be accepted, but the three-state and four-state models could
be rejected. That is, the model with the smallest number of
states was the best.
2). The two-state model is a discrete one. The question
whether psychological states are discrete or continuous is one
of fundamental problems. But, to determine experimentally whether
the state is discrete or not is difficult, because the prediction
made by a particular model is also dependent on the assumptions
other than the one to test. The author is interested in the
question how well models with discrete states can do.