Preference for mixed- versus fixed-ratio schedules.
Organisms often prefer mixed schedules even when the payoff is the same — use this to boost engagement.
01Research in Context
What this study did
Fantino (1967) let pigeons choose between two keys. One key gave a mixed-ratio schedule. The other gave a fixed-ratio schedule with the same average payoff.
The birds could switch keys at any time. The team recorded which key the bird pecked more.
What they found
The pigeons usually picked the mixed-ratio key. They did this even when both keys paid off at the same rate.
Preference flipped only when the fixed-ratio key clearly paid more.
How this fits with other research
Mullane et al. (2017) later saw the same pattern in kids. Children chose to do math problems under a mixed schedule that tossed in an easy FR-1 now and then.
Mellott et al. (2023) stretched the idea to duration. Students also liked mixed-duration schedules and worked harder because of it.
HERRNSTEISLOANE (1964) set the stage by showing pigeons prefer variable intervals. Fantino (1967) moved the question to ratio schedules and proved the variability effect still holds.
Why it matters
If your client can pick the task, slip a tiny ratio into the mix. A single easy response that earns a token can make the whole job feel better. The learner may stay longer and need less prompting, even when the overall work stays the same.
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02At a glance
03Original abstract
Pigeons' pecks on one key produced a stimulus correlated with a mixed-ratio schedule of food reinforcement. Pecks on a second key produced a stimulus correlated with a fixed-ratio schedule. When the arithmetic mean of the mixed ratios equaled the fixed ratio, the former stimulus maintained a higher rate of pecking. When the fixed ratio was sufficiently smaller, preference shifted to it. The pigeons' relative preference for the schedules could be described by comparing the geometric mean of the reinforcement rates in the several mixed-ratio components with the reinforcement rates in the fixed-ratio components.
Journal of the experimental analysis of behavior, 1967 · doi:10.1901/jeab.1967.10-35