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Figure 1 | The Journal of Mathematical Neuroscience

Figure 1

From: Drift–diffusion models for multiple-alternative forced-choice decision making

Figure 1

Hick’s Law for multi-alternative DDMs. If the accuracy is held fixed as the number of alternatives n is increased, then the mean reaction time increases as the logarithm of n. This is shown for both an accuracy of 0.8 (circles) and 0.6 (squares). The inset shows that the variance in the RT increases proportional to the mean RT. Parameter values are \(\sigma = 1\), \(\tau = 20\text{ ms}\). The thresholds \(\theta _{P_{c} = 0.8} = 3\) and \(\theta _{P_{c} = 0.6} = 0.9\) for \(n = 2\), and are increased for \(n>2\) to achieve the same accuracy. The initial condition is always taken to be \(X_{i} = 0\) for all i. The symbols are the average of 10,000 runs. The solid curves in the main panel are fits to the function \(RT = a+b\ln {(c+n)}\). The solid lines in the inset are best-fit linear regressions

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