A yoked-chamber comparison of concurrent and multiple schedules.
Matching between response and reinforcement proportions holds whether the learner controls schedule changes or the schedule changes on its own.
01Research in Context
What this study did
Killeen (1972) put pigeons in two linked chambers.
Each bird faced two keys.
One schedule ran on the left key, another on the right.
The study compared two set-ups.
In the concurrent set-up, the bird could hop between keys any time.
In the multiple set-up, the chamber lights changed every few seconds and only one key worked at a time.
Both set-ups used the same variable-interval food rates.
The question: do birds still match their pecks to the payoff rates when they cannot choose when the schedule changes?
What they found
Peck ratios matched food ratios in both set-ups.
If the left key paid twice as often, birds pecked it twice as much.
The exact number of pecks differed between concurrent and multiple, but the proportions stayed the same.
Matching held even when the bird had no control over schedule switches.
How this fits with other research
PLISKOFF (1963) first showed matching in concurrent schedules.
Killeen (1972) adds that the same rule works when schedules alternate on their own.
SHETTLEWORTCHARNEY et al. (1965) already saw response-rate shifts in multiple schedules tied to richer components.
Killeen (1972) links that earlier work to the matching law, showing the law is about proportions, not absolute counts.
Hopkins et al. (1977) later found pigeons usually undermatch — they split closer to 50-50 than strict math predicts.
Killeen (1972) did not test for this slight bend, so today we expect the proportions in both set-ups to fall short of perfect matching.
Why it matters
You can trust the matching law in both child-led and adult-controlled conditions.
If a client can freely move between tasks, reinforce each at the planned rate.
If you control task order with timers or signals, still reinforce at the same rate ratio.
The child’s behavior will follow the payoff ratio either way.
Check for undermatching after a week; adjust rates slightly if the split looks too even.
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02At a glance
03Original abstract
Pigeons were exposed to alternative pairs of variable-interval schedules correlated with red and green lights on one key (the food key). In one experimental chamber, responses on a white key (the changeover key) changed the color of the food key and initiated a 2-sec changeover delay. Pigeons in a second chamber obtained food by pecking on a colored key whenever the pigeons in the first (concurrent) chamber had obtained food for a peck on that key color. There was no changeover key in the second (multiple) chamber: changeover responses in the first chamber alternated the schedules and colors in both chambers. The pigeons in both chambers emitted the same proportion of responses on each of the variable-interval schedules, and mastered discrimination reversals at the same rate. The pigeons differed only in their absolute response rates, which were greater under the concurrent schedules. In a second experiment, changes in key color occurred automatically, with different proportions of time allocated to the two variable-interval schedules. Matching of relative response frequency to relative reinforcement frequency was affected by the relative amounts of time in each component, by rate of changeovers, and by manipulations of the variable-interval scheduling.
Journal of the experimental analysis of behavior, 1972 · doi:10.1901/jeab.1972.18-13