A cost-benefit analysis of demand for food.
Turn size, probability, and effort into one 'unit price' to predict how much your client will work and consume.
01Research in Context
What this study did
Saunders et al. (1988) ran rats in a standard operant chamber. They varied three things at once: how big each food pellet was, how often the lever paid off, and how many lever presses the rat had to make.
The team boiled all three changes into one number they called 'unit price' — the presses needed per gram of food. Then they asked: do food eaten and lever presses line up on one curve when we plot them against this single price?
What they found
Yes. Whether the researchers cut pellet size, lowered payoff odds, or raised the response requirement, the results fell on the same demand curve and the same work curve when the x-axis was unit price.
In plain words: the animal acts as if it only cares about the final cost per gram, not how you create that cost.
How this fits with other research
Sutphin et al. (1998) extended the idea to foraging patches. When cheap patches became rare, rats stayed on the same cost curve by eating fewer but bigger meals instead of paying more. The unit-price rule still held; the rats just changed meal timing.
Baum (2025) looks at first glance to clash with R et al. Baum says ratio schedules fail at low payoff rates while interval schedules survive. The gap is method: Baum keeps response cost fixed and varies payoff timing, whereas R et al. mixed cost and payoff into one price metric. Both papers agree that molar cost matters; they just test different levers.
Jiménez et al. (2022) sweep unit price into a bigger picture. They slot cost-benefit analyses under 'behavioral cusps' that can open new repertoires. Your price curve is one example of how environmental economics shape pivotal behavior.
Why it matters
When you tweak reinforcer size, odds, or effort in a token system, convert all changes into one unit-price number. If the price crosses the rat’s collapse point, you can expect response and consumption to drop together. Use this to set lean but fair requirements in classrooms, feeding clinics, or vocational tasks without guessing which variable matters most.
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Join Free →Pick a reinforcer, measure its usual size, then calculate the current cost per gram (or minute) and plot last week’s data on that price axis to see if you’re near the demand collapse point.
02At a glance
03Original abstract
Laboratory studies of consumer demand theory require assumptions regarding the definition of price in the absence of a medium of exchange (money). In this study we test the proposition that the fundamental dimension of price is a cost-benefit ratio expressed as the effort expended per unit of food value consumed. Using rats as subjects, we tested the generality of this "unit price" concept by varying four dimensions of price: fixed-ratio schedule, number of food pellets per fixed-ratio completion, probability of reinforcement, and response lever weight or effort. Two levels of the last three factors were combined in a 2 x 2 x 2 design giving eight groups. Each group was studied under a series of six FR schedules. Using the nominal values of all factors to determine unit price, we found that grams of food consumed plotted as a function of unit price followed a single demand curve. Similarly, total work output (responses x effort) conformed to a single function when plotted in terms of unit price. These observations provided a template for interpreting the effects of biological factors, such as brain lesions or drugs, that might alter the cost-benefit ratio.
Journal of the experimental analysis of behavior, 1988 · doi:10.1901/jeab.1988.50-419