drbenvincent / delay-discounting-analysis

Hierarchical Bayesian estimation and hypothesis testing for delay discounting tasks
http://www.inferencelab.com/delay-discounting-analysis/
MIT License
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Hyperboloid model: incorporate subjective time aspect #193

Closed drbenvincent closed 7 years ago

drbenvincent commented 7 years ago

It has been shown by Takahashi (2016) that exponential discounting of logarithmic scaled time (i.e. Weber's Law)

t(delay) = b.In(1+a.delay)

is equal to this hyperboloid discount function

1/(1+a.delay)^(k.b)

We cannot identify k.b on a discounting only experiment, and the hyperboloid discount function we use is

1/(1+a.delay)^S

and so the corresponding inferred subjective time function is

t(delay) \propto S.In(1+a.delay)