Keith Mack
The matching law, formulated by psychologist Richard Herrnstein in 1961, is a quantitative relationship between the relative rates of response and reinforcement in concurrent schedules of reinforcement. The law was formulated following an experiment conducted on pigeons, where they were presented with two buttons, each with varying rates of food reward. The pigeons tended to peck the button with a higher food reward, and the ratio of their rates to the two buttons matched the ratio of their rates of reward. The matching law has been applied in various fields, including clinical settings and Applied Behavior Analysis (ABA) therapy, to understand the relationship between behavior and reinforcement and promote positive behavior change.
| Characteristics | Values |
|---|---|
| Creator | R.J. Herrnstein |
| Year of formulation | 1961 |
| Subject of experiment | Pigeons |
| Type of experiment | Concurrent variable interval schedules |
| Number of response alternatives | 2 |
| Response alternatives | A and B |
| Example of response alternative | Pecking buttons in a Skinner box |
| Number of schedules | 2 |
| Schedules | Concurrent |
| Equation | i.e., \(\displaystyle \frac{R_{1}}{R_{1}+R_{2}}=\frac{Rf_{1}}{Rf_{1}+Rf_{2}}\) |
| Generalized matching equation | \(\displaystyle \log \left({\frac {R_{1}}{R_{2}}}\right)=\log \left(b\right)+s\cdot \log \left({\frac {Rf_{1}}{Rf_{2}}}\right)\) |
| Constants | b and s |
| What constant b refers to | Bias |
| What constant s refers to | Sensitivity |
| Who proposed the generalized matching equation | Baum |
| Year the generalized matching equation was proposed | 1974 |
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What You'll Learn
- The matching law was formulated by R.J. Herrnstein in 1961
- The law states that the ratio of response rates equals the ratio of reinforcements
- It challenges the idea that choice is an unpredictable outcome of free will
- The matching law has been applied to ABA therapy to promote positive behaviour change
- The generalized matching law was developed to account for deviations from the original equation
The matching law was formulated by R.J. Herrnstein in 1961
The matching law was formulated by psychologist Richard J. Herrnstein in 1961. It is a quantitative relationship between the relative rates of response and the relative rates of reinforcement in concurrent schedules of reinforcement. In simpler terms, the law states that behaviour matches reinforcement.
The law was formulated following an experiment with pigeons on concurrent variable interval schedules. In the experiment, pigeons were presented with two buttons, each of which led to varying rates of food reward. The pigeons tended to peck the button that yielded a greater food reward more often, and the ratio of their rates of pecking the two buttons matched the ratio of their rates of reward.
The matching law has been applied in recent years to clinical settings and populations to gain a better understanding of how naturally occurring events affect socially important behaviours. It has also been used in Applied Behaviour Analysis (ABA) therapy, where reinforcement plays a crucial role in shaping behaviour and increasing the likelihood of desired outcomes.
The matching law is theoretically important for several reasons. Firstly, it offers a simple quantification of behaviour that can be applied to a number of situations. Secondly, it offers a lawful account of choice, challenging the idea that choice is an unpredictable outcome of free will.
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The law states that the ratio of response rates equals the ratio of reinforcements
The matching law, first formulated by R.J. Herrnstein in 1961, is a quantitative relationship between the relative rates of response and the relative rates of reinforcement in concurrent schedules of reinforcement. In other words, it states that the ratio of response rates equals the ratio of reinforcements.
The law was formulated following an experiment with pigeons on concurrent variable interval schedules. In the experiment, pigeons were presented with two buttons, each of which led to varying rates of food reward. The pigeons tended to peck the button that yielded a greater food reward more often, and the ratio of their rates of pecking the two buttons matched the ratio of their rates of reward.
For example, if response B1 resulted in twice as many reinforcer deliveries relative to B2 (i.e., R1 is double the size of R2), the matching law predicts twice as many B1 responses. This law can be applied to situations involving a single response maintained by a single schedule of reinforcement, assuming that alternative responses are always available to an organism.
The matching law has important theoretical implications. Firstly, it offers a simple quantification of behaviour that can be applied to various situations. Secondly, it provides a lawful account of choice, challenging the idea that choice is an unpredictable outcome of free will. Finally, it has generated a significant amount of research that has widened our understanding of operant control.
The matching law has been applied in various fields, including clinical settings and Applied Behaviour Analysis (ABA) therapy, to understand and shape behaviour and increase the likelihood of desired outcomes. By adjusting the reinforcer used following each behaviour, therapists can promote positive behaviour change and maximise the potential for successful outcomes.
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It challenges the idea that choice is an unpredictable outcome of free will
The matching law was first formulated by R.J. Herrnstein in 1961. Herrnstein's formulation of the law followed an experiment with pigeons on concurrent variable interval schedules. In the experiment, pigeons were presented with two buttons, each of which led to varying rates of food reward. The pigeons tended to peck the button that yielded a greater food reward more often, and the ratio of their rates of pecking the two buttons matched the ratio of their rates of reward.
The matching law is theoretically important for several reasons. Firstly, it offers a simple quantification of behaviour that can be applied to numerous situations. Secondly, it offers a lawful account of choice. As Herrnstein (1970) expressed, under an operant analysis, choice is simply behaviour set into the context of other behaviour.
The matching law challenges the idea that choice is an unpredictable outcome of free will. This challenge becomes significant only if it applies to human behaviour, in addition to the behaviour of pigeons and other animals. When human participants perform under concurrent schedules of reinforcement, matching has been observed in some experiments, but wide deviations from matching have also been found.
Behaviour analysts have long been interested in the environmental determinants of why behaviours are allocated to particular choice alternatives. Behaviourally speaking, choice is regarded as the distribution of behaviour to reinforcement alternatives. Every instance of operant responding represents the choice to engage in that behaviour at that moment in time, whether due to positive or negative reinforcement. As behaviour analysts observe the relative distribution of behaviour to reinforcement alternatives, preference may be derived by the proportion of responses allocated to each. Within this framework, more responding to one alternative indicates a relative preference for that alternative.
The matching law has been applied in clinical settings and populations to gain a better understanding of how naturally occurring events affect socially important behaviours. In Applied Behaviour Analysis (ABA) therapy, the matching law serves as a fundamental principle in understanding behaviour and reinforcement relationships. By utilising reinforcement effectively, therapists can create a reinforcing environment that motivates individuals with autism to engage in desired behaviours.
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The matching law has been applied to ABA therapy to promote positive behaviour change
The matching law, formulated by psychologist Richard Herrnstein in the 1960s, explains the relationship between the rates of behavior and the rates of reinforcement for different response options. In other words, if one option consistently receives more reinforcement than another, individuals are inclined to choose the more frequently reinforced option. The law was first formulated following an experiment with pigeons on concurrent variable interval schedules. The pigeons tended to peck the button that yielded the greater food reward more often than the other button, and the ratio of their rates to the two buttons matched the ratio of their rates of reward on the two buttons.
The matching law has significant implications for ABA therapy, as it helps behavior analysts understand how individuals make choices based on the available reinforcement options. By applying the principles of the matching law, ABA therapists can design interventions that effectively shape behavior, reinforce desired behaviors, and address problem behaviors in a manner that promotes positive behavior change. ABA therapists utilize the matching law as a tool to assess and analyze behavior patterns by collecting data on the frequency of different behaviors and the corresponding reinforcement received.
Through careful design and implementation, reinforcement becomes a powerful tool in shaping behavior and achieving meaningful outcomes for individuals receiving ABA therapy. By understanding the concepts of continuous and intermittent reinforcement and personalizing the reinforcement strategies, ABA therapists can effectively apply the matching law in ABA therapy. Continuous reinforcement may be beneficial during the initial learning stages, while intermittent reinforcement helps promote long-term maintenance and generalization of skills.
By conducting assessments and designing interventions that adhere to the principles of the matching law, behavior analysts can effectively implement ABA therapy and create individualized treatment plans that maximize the chances of successful outcomes and promote positive behavior change. Understanding the matching law and its application in ABA therapy is essential for therapists and parents alike. By utilizing the principles of reinforcement and designing interventions based on the matching law, ABA therapy can effectively promote behavior change and support individuals with autism in achieving their full potential.
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The generalized matching law was developed to account for deviations from the original equation
The matching law was first formulated by R.J. Herrnstein in 1961. The formulation was based on an experiment with pigeons on concurrent variable interval schedules. The experiment involved presenting pigeons with two buttons in a Skinner box, each of which led to varying rates of food reward. The pigeons tended to peck the button that yielded a greater food reward more often than the other button, and the ratio of their rates to the two buttons matched the ratio of their rates of reward on the two buttons.
The matching law is a quantitative relationship that holds between the relative rates of response and the relative rates of reinforcement in concurrent schedules of reinforcement. However, the applicability of the matching law is limited to non-human subjects exposed to concurrent variable interval schedules, and its applicability in other situations is less clear. Researchers are not always successful in identifying or producing "perfect" matching, and deviations from the matching law have been observed. These deviations include undermatching, overmatching, and bias.
Undermatching refers to when the response proportions are less extreme than predicted by the law, which can occur when subjects switch between response options too frequently. Overmatching is the opposite, where response proportions are more extreme than reinforcement proportions, and is less common. Bias occurs when subjects spend more time on one alternative than predicted by the matching equation, such as due to a preference for a certain environment or response method.
To address these deviations, the generalized matching law was developed. The generalized matching law is a power function generalization of the strict matching law, first proposed by Baum in 1974. It introduces the parameters of "bias" and "sensitivity" to reflect deviations from the original matching law. "Bias" represents a subject's tendency to prefer one response over another, while "sensitivity" reflects the degree to which the reinforcement ratio impacts the choice ratio. By incorporating these parameters, the generalized matching law can account for high proportions of the variance in experiments on concurrent variable interval schedules in non-humans.
The development of the generalized matching law has expanded our understanding of complex human behaviors, particularly in clinical settings. It has provided a quantitative tool to analyze the relationship between behavior and the environment, helping behavior analysts understand the impact of naturally occurring events on socially important behaviors.
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Frequently asked questions
The matching law was formulated by psychologist Richard Herrnstein in 1961.
The matching law is a quantitative relationship between the relative rates of response and the relative rates of reinforcement in concurrent schedules of reinforcement.
In an experiment, pigeons were presented with two buttons, each of which led to varying rates of food reward. The pigeons tended to peck the button that yielded a greater food reward more often, and the ratio of their pecking rates to the two buttons matched the ratio of their rates of reward.
The matching law is important for several reasons. Firstly, it offers a simple quantification of behaviour that can be applied to various situations. Secondly, it provides a lawful account of choice, challenging the idea that choice is an unpredictable outcome of free will. Lastly, it has generated a significant amount of research that has widened our understanding of operant control.
