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Journal of Applied Behavior Analysis logoLink to Journal of Applied Behavior Analysis
. 1984 Fall;17(3):367–380. doi: 10.1901/jaba.1984.17-367

Practical implications of the matching law

Joel Myerson 1,2, Sandra Hale 1,2
PMCID: PMC1307953  PMID: 16795677

Abstract

Many problem situations in applied settings are best conceptualized as choice situations. In addition, applied behavior analysts create choice situations when they reinforce a competing response to decrease inappropriate behavior. When such situations are analyzed using the matching law, variable interval (VI) schedules of reinforcement prove to be a superior intervention strategy regardless of the nature of the schedule maintaining other, less appropriate behavior. This conclusion is robust in that VI schedule superiority is observed in situations in which choice behavior is highly biased or shows pronounced undermatching as well as those in which the matching law holds precisely. Our analysis demonstrates the potential practical value of mathematical descriptions of behavior.

Keywords: matching law, concurrent reinforcement schedules, operant choice behavior, basic and applied behavior analysis

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Bacotti A. V. Matching under concurrent fixed-ratio variable-interval schedules of food presentation. J Exp Anal Behav. 1977 Jan;27(1):171–182. doi: 10.1901/jeab.1977.27-171. [DOI] [PMC free article] [PubMed] [Google Scholar]
  2. Baum W. M. Matching, undermatching, and overmatching in studies of choice. J Exp Anal Behav. 1979 Sep;32(2):269–281. doi: 10.1901/jeab.1979.32-269. [DOI] [PMC free article] [PubMed] [Google Scholar]
  3. Baum W. M. On two types of deviation from the matching law: bias and undermatching. J Exp Anal Behav. 1974 Jul;22(1):231–242. doi: 10.1901/jeab.1974.22-231. [DOI] [PMC free article] [PubMed] [Google Scholar]
  4. Baum W. M. Optimization and the matching law as accounts of instrumental behavior. J Exp Anal Behav. 1981 Nov;36(3):387–403. doi: 10.1901/jeab.1981.36-387. [DOI] [PMC free article] [PubMed] [Google Scholar]
  5. Baum W. M., Rachlin H. C. Choice as time allocation. J Exp Anal Behav. 1969 Nov;12(6):861–874. doi: 10.1901/jeab.1969.12-861. [DOI] [PMC free article] [PubMed] [Google Scholar]
  6. Baum W. M. The correlation-based law of effect. J Exp Anal Behav. 1973 Jul;20(1):137–153. doi: 10.1901/jeab.1973.20-137. [DOI] [PMC free article] [PubMed] [Google Scholar]
  7. Baum W. M. Time allocation in human vigilance. J Exp Anal Behav. 1975 Jan;23(1):45–53. doi: 10.1901/jeab.1975.23-45. [DOI] [PMC free article] [PubMed] [Google Scholar]
  8. Bradshaw C. M., Szabadi E., Bevan P. Behavior of humans in variable-interval schedules of reinforcement. J Exp Anal Behav. 1976 Sep;26(2):135–141. doi: 10.1901/jeab.1976.26-135. [DOI] [PMC free article] [PubMed] [Google Scholar]
  9. Brownstein A. J., Pliskoff S. S. Some effects of relative reinforcement rate and changeover delay in response-independent concurrent schedules of reinforcement. J Exp Anal Behav. 1968 Nov;11(6):683–688. doi: 10.1901/jeab.1968.11-683. [DOI] [PMC free article] [PubMed] [Google Scholar]
  10. HERRNSTEIN R. J. Relative and absolute strength of response as a function of frequency of reinforcement. J Exp Anal Behav. 1961 Jul;4:267–272. doi: 10.1901/jeab.1961.4-267. [DOI] [PMC free article] [PubMed] [Google Scholar]
  11. Hayes S. C., Rincover A., Solnick J. V. The technical drift of applied behavior analysis. J Appl Behav Anal. 1980 Summer;13(2):275–285. doi: 10.1901/jaba.1980.13-275. [DOI] [PMC free article] [PubMed] [Google Scholar]
  12. Herrnstein R. J., Heyman G. M. Is matching compatible with reinforcement maximization on concurrent variable interval variable ratio? J Exp Anal Behav. 1979 Mar;31(2):209–223. doi: 10.1901/jeab.1979.31-209. [DOI] [PMC free article] [PubMed] [Google Scholar]
  13. Herrnstein R. J., Loveland D. H. Maximizing and matching on concurrent ratio schedules. J Exp Anal Behav. 1975 Jul;24(1):107–116. doi: 10.1901/jeab.1975.24-107. [DOI] [PMC free article] [PubMed] [Google Scholar]
  14. Herrnstein R. J. On the law of effect. J Exp Anal Behav. 1970 Mar;13(2):243–266. doi: 10.1901/jeab.1970.13-243. [DOI] [PMC free article] [PubMed] [Google Scholar]
  15. Hollard V., Davison M. C. Preference for qualitatively different reinforcers. J Exp Anal Behav. 1971 Nov;16(3):375–380. doi: 10.1901/jeab.1971.16-375. [DOI] [PMC free article] [PubMed] [Google Scholar]
  16. Killeen P. R. Incentive theory: II. Models for choice. J Exp Anal Behav. 1982 Sep;38(2):217–232. doi: 10.1901/jeab.1982.38-217. [DOI] [PMC free article] [PubMed] [Google Scholar]
  17. Labounty C. E., Reynolds G. S. An analysis of response and time matching to reinforcement in concurrent ratio-interval schedules. J Exp Anal Behav. 1973 Jan;19(1):155–166. doi: 10.1901/jeab.1973.19-155. [DOI] [PMC free article] [PubMed] [Google Scholar]
  18. McDowell J. J., Kessel R. A multivariate rate equation for variable-interval performance. J Exp Anal Behav. 1979 Mar;31(2):267–283. doi: 10.1901/jeab.1979.31-267. [DOI] [PMC free article] [PubMed] [Google Scholar]
  19. McDowell J. J. The importance of Herrnstein's mathematical statement of the law of effect for behavior therapy. Am Psychol. 1982 Jul;37(7):771–779. doi: 10.1037//0003-066x.37.7.771. [DOI] [PubMed] [Google Scholar]
  20. Miller H. L. Matching-based hedonic scaling in the pigeon. J Exp Anal Behav. 1976 Nov;26(3):335–347. doi: 10.1901/jeab.1976.26-335. [DOI] [PMC free article] [PubMed] [Google Scholar]
  21. Myers D. L., Myers L. E. Undermatching: a reappraisal of performance on concurrent variable-interval schedules of reinforcement. J Exp Anal Behav. 1977 Jan;27(1):203–214. doi: 10.1901/jeab.1977.27-203. [DOI] [PMC free article] [PubMed] [Google Scholar]
  22. Nevin J. A. Rates and patterns of responding with concurrent fixed-interval and variable-interval reinforcement. J Exp Anal Behav. 1971 Sep;16(2):241–247. doi: 10.1901/jeab.1971.16-241. [DOI] [PMC free article] [PubMed] [Google Scholar]
  23. Rachlin H. A molar theory of reinforcement schedules. J Exp Anal Behav. 1978 Nov;30(3):345–360. doi: 10.1901/jeab.1978.30-345. [DOI] [PMC free article] [PubMed] [Google Scholar]
  24. Rachlin H. On the tautology of the matching law. J Exp Anal Behav. 1971 Mar;15(2):249–251. doi: 10.1901/jeab.1971.15-249. [DOI] [PMC free article] [PubMed] [Google Scholar]
  25. Schroeder S. R., Holland J. G. Reinforcement of eye movement with concurrent schedules. J Exp Anal Behav. 1969 Nov;12(6):897–903. doi: 10.1901/jeab.1969.12-897. [DOI] [PMC free article] [PubMed] [Google Scholar]
  26. Trevett A. J., Davison M. C., Williams R. J. Performance in concurrent interval schedules. J Exp Anal Behav. 1972 May;17(3):369–374. doi: 10.1901/jeab.1972.17-369. [DOI] [PMC free article] [PubMed] [Google Scholar]
  27. Wearden J. H., Burgess I. S. Matching since Baum (1979). J Exp Anal Behav. 1982 Nov;38(3):339–348. doi: 10.1901/jeab.1982.38-339. [DOI] [PMC free article] [PubMed] [Google Scholar]

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