The Matching Law

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The Matching Law is a principle in behavioral psychology stating that organisms distribute their responses among available choices in proportion to the reinforcement they receive from each option.

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Matching Law 0

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Predicate Object
instanceOf principle in behavioral psychology
quantitative law of behavior
alsoKnownAs the law of matching NERFINISHED
appliesTo concurrent reinforcement schedules
operant conditioning
situations with two or more response alternatives
assumes organism has experience with both alternatives
steady-state behavior
basedOn rate of reinforcement
relative reinforcement frequency
relative response rate
category law of effect extensions
coreIdea responses are distributed in proportion to obtained reinforcement
describes allocation of responses among alternatives
choice behavior under concurrent schedules of reinforcement
explains preference for richer reinforcement schedules
undermatching and overmatching patterns
field behavior analysis
experimental psychology
firstDescribedIn Herrnstein 1961 paper on relative and absolute strength of response
formalizedBy Richard J. Herrnstein NERFINISHED
generalization applied to addiction research
applied to consumer choice
applied to organizational behavior management
applied to self-control and impulsivity
generalizedForm log(B1/B2) = a·log(R1/R2) + log b
hasExtension generalized matching law
hasParameter bias parameter (log b)
sensitivity parameter (a or s)
inBehaviorAnalysis forms basis for quantitative models of choice
influencedBy operant conditioning framework of B. F. Skinner
mathematicalForm B1/(B1+B2) = R1/(R1+R2)
R1/(R1+R2) = r1/(r1+r2)
originatedIn 1960s
predicts proportional allocation of behavior to reinforcement
relative response rate equals relative reinforcement rate
relatedConcept behavioral economics
concurrent variable-interval schedules
hyperbolic discounting
melioration theory NERFINISHED
testedWith concurrent variable-interval fixed-interval schedules
concurrent variable-interval variable-interval schedules
usedIn choice experiments with pigeons
choice experiments with rats
human operant choice research
variable B1 (response rate on alternative 1)
B2 (response rate on alternative 2)
R1 (reinforcement rate on alternative 1)
R2 (reinforcement rate on alternative 2)

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Richard J. Herrnstein notableWork The Matching Law