Abstract
The extant data for pigeons' performance on concurrent variable-interval schedules were examined in detail. Least-squares lines relating relative pecks and time to the corresponding relative reinforcements were obtained for four studies. The between-study group slopes for time and pecks and five of seven within-study group slopes from individual studies were less than 1.00. This suggested the generality that pigeons respond less to the richer reinforcement schedule than predicted by matching. For pecks, a nonparametric test for distribution of points also supported this concept of undermatching (to the richer reinforcement schedule). In addition, using mean squared error as the criterion, a cubic curve fit the peck proportion data better than any line or other polynomial. This indicates that the relation between peck and reinforcement proportions may be nonlinear.
Keywords: undermatching concurrent variable-interval schedules, matching, pigeons
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- 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]
- 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]
- Brownstein A. J. Concurrent schedules of response-independent reinforcement: duration of a reinforcing stimulus. J Exp Anal Behav. 1971 Mar;15(2):211–214. doi: 10.1901/jeab.1971.15-211. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 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]
- CATANIA A. C. Concurrent performances: reinforcement interaction and response independence. J Exp Anal Behav. 1963 Apr;6:253–263. doi: 10.1901/jeab.1963.6-253. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Fantino E., Herrnstein R. J. Secondary reinforcement and number of primary reinforcements. J Exp Anal Behav. 1968 Jan;11(1):9–14. doi: 10.1901/jeab.1968.11-9. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Fantino E., Squires N., Delbrück N., Peterson C. Choice behavior and the accessibility of the reinforcer. J Exp Anal Behav. 1972 Jul;18(1):35–43. doi: 10.1901/jeab.1972.18-35. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Findley J. D. Preference and Switching under Concurrent Scheduling. J Exp Anal Behav. 1958 Apr;1(2):123–144. doi: 10.1901/jeab.1958.1-123. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 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]
- 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]
- 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]
- Killeen P. The matching law. J Exp Anal Behav. 1972 May;17(3):489–495. doi: 10.1901/jeab.1972.17-489. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 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]
- Lander D. G., Irwin R. J. Multiple schedules: effects of the distribution of reinforcements between component on the distribution of responses between conponents. J Exp Anal Behav. 1968 Sep;11(5):517–524. doi: 10.1901/jeab.1968.11-517. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Lobb B., Davison M. C. Performance in concurrent interval schedules: a systematic replication. J Exp Anal Behav. 1975 Sep;24(2):191–197. doi: 10.1901/jeab.1975.24-191. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 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]
- REYNOLDS G. S. Some limitations on behavioral contrast and induction during successive discrimination. J Exp Anal Behav. 1963 Jan;6:131–139. doi: 10.1901/jeab.1963.6-131. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 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]
- Schneider J. W. Reinforcer effectiveness as a function of reinforcer rate and magnitude: a comparison of concurrent performances. J Exp Anal Behav. 1973 Nov;20(3):461–471. doi: 10.1901/jeab.1973.20-461. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Shull R. L., Pliskoff S. S. Changeover delay and concurrent schedules: some effects on relative performance measures. J Exp Anal Behav. 1967 Nov;10(6):517–527. doi: 10.1901/jeab.1967.10-517. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Silberberg A., Fantino E. Choice, rate of reinforcement, and the changeover delay. J Exp Anal Behav. 1970 Mar;13(2):187–197. doi: 10.1901/jeab.1970.13-187. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Stubbs D. A., Pliskoff S. S. Concurrent responding with fixed relative rate of reinforcement. J Exp Anal Behav. 1969 Nov;12(6):887–895. doi: 10.1901/jeab.1969.12-887. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Todorov J. C. Interaction of frequency and magnitude of reinforcement on concurrent performances. J Exp Anal Behav. 1973 May;19(3):451–458. doi: 10.1901/jeab.1973.19-451. [DOI] [PMC free article] [PubMed] [Google Scholar]
- 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]
- White A. J., Davison M. C. Performance in concurrent fixed-interval schedules. J Exp Anal Behav. 1973 Jan;19(1):147–153. doi: 10.1901/jeab.1973.19-147. [DOI] [PMC free article] [PubMed] [Google Scholar]