[From Rick Marken (960121.1530)]
Bruce Abbott (950120.1630 EST) --
^ Talk about delays;-)
I've created a little simulation program called KILLEEN.PAS that implements
Killeen's equations for steady-state responding on fixed ratio schedules,
and it does reproduce the curves he fits to several example datasets when I
plug in the fitted parameters.
This is somewhat surprising since it looks to me like Killeen has
behavior occurring in a positive feedback loop; incentive rate increases
response rate which increases incentive rate. This suggests that the
model would predict an increase in response rate with a _decrease_ in
ratio schedule response requirement (which would produce a higher
incentive rate for a given response rate). This seems to be what is
predicted by the equation you presented for fixed ratio behavior rate:
FR behavior rate: B' = (lamda/delta) - (N/a)
I presume N is the ratio requirement. If this is true then, regardless
of one's choice of values for fudge factors (lambda, delta and a) it
looks like an increase in ratio requirement results in a decrease in
behavior rate. Is this actually what Killeen's model predicts? Is this
the way your simulation of Killen's model behaves? If so, how does Killeen's
model account for data (like those presented this morning by Bill
Powers (960121.0900 MST)) that shows increases in response rate with
increases in ratio requirement?
Best
Rick