This cluster shows how people and animals split their time between two choices when each choice gives different amounts of rewards. It explains the matching rule: if one side gives 70 % of the rewards, you will do about 70 % of your responses there. BCBAs can use this rule to check if clients are picking the best behaviors and to spot when extra rewards are needed to balance choices.
The matching law describes a simple but powerful pattern: people and animals allocate their behavior in proportion to the reinforcement each option provides. If one activity delivers 70% of available reinforcement, it will attract roughly 70% of responses. This principle applies across species, from pigeons in lab settings to children choosing between on-task and off-task behavior in classrooms.
The matching law is not just a research curiosity — it is a practical diagnostic tool. When a client consistently chooses problem behavior over a replacement behavior, the problem behavior is likely delivering more reinforcement. It may come more often, arrive faster, or require less effort. Identifying which dimension is out of balance helps you design a more effective treatment plan.
Research has extended the matching law to real-world human choices including sport, conversation, strategic games, and classroom behavior. In one study, children's on-task and off-task behavior tracked reinforcement ratios the way the law predicts. In another, parents who shifted their reinforcement allocation at home saw predictable drops in problem behavior — exactly in line with matching law calculations.
There are limits to the law. In some conversational settings, people talk more to partners who talk less, which is the opposite of what matching predicts. This suggests context and social rules can override matching in some situations. As a BCBA, knowing both the strength and the boundaries of the law helps you apply it accurately.
Common questions from BCBAs and RBTs
It means that your client will do whichever behavior gets reinforced more often, more quickly, or with less effort. To change behavior, shift the reinforcement balance in favor of the behavior you want.
Identify the reinforcement parameters for both the problem behavior and the replacement behavior — rate, immediacy, and effort. Make the replacement behavior clearly win on at least two of those three, and behavior allocation will shift.
Yes. Research shows that children's on-task behavior tracks relative reinforcement rates. When teachers deliver more attention for on-task work than for off-task behavior, on-task responding increases in proportion.
No. Reinforcer rate is the strongest driver of choice, followed by immediacy. Magnitude matters but has less impact than how often and how quickly rewards arrive.
Not always. In some social contexts like conversation, other rules take over and matching breaks down. The law is most reliable in situations with clear, repeated reinforcement contingencies rather than complex social interactions.