In most of the studies of the DM process the dynamics
of the information gathering and elaboration are modeled under the so called
Two-Alternative Forced-Choice (TAFC) task [1-3].
Choosing between two alternatives, even under time pressure and with uncertain
information, is a simplification of many situations, but it is representative
of many problems faced by animals in their natural environments (e.g., whether
to approach or avoid a novel stimulus). The reduction of complex problems into
nested easier dichotomous problems may also respond to evolutionary strategies
for optimizing the speed-and-accuracy tradeoff. Bogacz and coauthors [4] evidenced that the TAFC task models typically
make three fundamental assumptions:
a) evidence favoring each alternative is
integrated over time;
b) the process is subject to random fluctuations;
c)
the decision is made when sufficient evidence has accumulated favoring one
alternative over the other.
The major issue about the modality of integration
of evidence is generally solved in favor of the integration of the difference
in evidence, rather than the independent integration of evidence for each
alternative. The leading theories, by assuming that the difference in evidence
drives the decision, consider that the
differences can be computed by inhibitory mechanisms. Those theories
essentially distinguish themselves by the mechanisms of inhibition that they
adopt, by which they get to different behavioral predictions. The application of the diffusion
models in the study of cognitive processes had been introduced by Ratcliff [1] and since then on they had kept their theoretical soundness in the
context of the analysis of decision making under uncertainty [2,5-12] because it is relatively simple and well
characterized [13] and it has been proven to
implement the optimal mechanism for TAFC decision making [14,15].
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- Usher M., McClelland J.L.
(2001). The time course of perceptual choice: the leaky, competing
accumulator model. Psychol Rev. 108:550-592.
- Ratcliff, R., Smith, P.L. (2004). A comparison of sequential
sampling models for two-choice reaction time. Psychol Rev. 111:333-367.
- Bogacz, R., Brown, E., Moehlis, J., Holmes, P., Cohen, J.D. (2006). The Physics of Optimal Decision Making: A Formal Analysis of Models of Performance in Two-Alternative Forced-Choice Tasks. Psychol Rev. 113(4): 700–765.
- Schall, J. D. (2001). Neural basis of deciding, choosing and acting. Nat Rev Neurosci, 2(1), 33-42.
- Shadlen, M. N., Newsome, W. T. (2001). Neural basis of a perceptual decision in the parietal cortex (area LIP) of the rhesus monkey. J Neurophysiol, 86(4), 1916-1936.
- Smith, P.L., Ratcliff, R. (2004). Psychlogy and biology of simple decisions. Trends Neurosci. 27(3): 161-168.
- Gold, J.I., Shadlen, M.N. (2002). Banburismus and
the brain: decoding the relationship between sensory stimuli, decisions
and reward. Neuron 36: 299-308.
- Hanes, D.P.,
Schall, J.D. (1996). Neural control of voluntary movement
initiation. Science 274:427-430.
- Ratcliff, R. (1998). The role of mathematical
psychology in experimental psychology.
Aust J Psychol. 50: 129-130.
- Ratcliff, R., Tuerlinckx, F. (2002). Estimating parameters of the
diffusion model: Approaches to dealing with contaminant reaction times and
parameter variability. Psychon Bull Rev. 9: 438-481.
- Ratcliff, R., Cherian, A., Segraves, M. (2003). A comparison of macaque behavior
and superior colliculus neuronal activity to predictions from models of
simple two-choice decisions. Journal Neurophysiol. 90:1392-1407.
- Smith P.L. (2000).
Stochastic dynamic models of response time and accuracy: a fundational
primer. J Math Psychol. 44: 408-463.
- Bogacz, R., Gurney, K. (2007). The basal ganglia and cortex implement optimal decision making between alternative actions. Neural Comput 19(2):442-477.
- Laming, D. R. J. (1968). Information theory of choice-reaction times. Wiley, NewYork.
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