The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
A mathematical model for simple learning.
Abstract
A mathematical model for simple learning is presented. Changes in the probability of occurrence of a response in a small time h are described with the aid of mathematical operators. The parameters which appear in the operator equations are related to experimental variables such as the amount of reward and work. Relations between the probability and empirical measures of rate of responding and latent time are defined. Acquisition and extinction of behavior habits are discussed for the simple runway and for the Skinner box. Equations of mean latent time as a function of trial number are derived for the runway problem; equations for the mean rate of responding and cumulative numbers of responses versus time are derived for the Skinner box experiments. An attempt is made to analyze the learning process with various schedules of partial reinforcement in the Skinner type experiment. Wherever possible, the correspondence between the present model and the work of Estes [2] is pointed out.
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Cites
Skinner, B. F., & Hull, C. L. (1944) · The American Journal of Psychology · doi:10.2307/1416955 · Cited by 4,051
Skinner, B. F. (1938) · Cited by 3,571
Toward a statistical theory of learning.
Estes, W. K. (1950) · Psychological Review · doi:10.1037/h0058559 · Cited by 994
Quantitative Variation of Incentive and Performance in the White Rat
Crespi, L. P. (1942) · The American Journal of Psychology · doi:10.2307/1417120 · Cited by 891
(2014) · Fundamentals of Psychology · doi:10.4324/9781315736945-15 · Cited by 694
Partial reinforcement: a review and critique.
Jenkins, W. O., & Stanley, J. C. (1950) · Psychological Bulletin · doi:10.1037/h0060772 · Cited by 278
Statistical behavioristics and sequences of responses.
Miller, G. A., & Frick, F. C. (1949) · Psychological Review · doi:10.1037/h0060413 · Cited by 192
The influence of work on behavior.
Solomon, R. L. (1948) · Psychological Bulletin · doi:10.1037/h0055527 · Cited by 156
Resistance to extinction as a function of the number of reinforcements.
Williams, S. B. (1938) · Journal of Experimental Psychology · doi:10.1037/h0053675 · Cited by 146
The acquisition, extinction, and spontaneous recovery of a conditioned operant response.
Graham, C. H., & Gagné, R. M. (1940) · Journal of Experimental Psychology · doi:10.1037/h0060674 · Cited by 87
Cited by
The theory of decision making.
Edwards, W. (1954) · Psychological Bulletin · doi:10.1037/h0053870 · Cited by 2,697
The Stag Hunt and the Evolution of Social Structure
Skyrms, B. (2003) · Cambridge University Press eBooks · doi:10.1017/cbo9781139165228 · Cited by 1,524
What do we mean by prediction in language comprehension?
Kuperberg, G. R., & Jaeger, T. F. (2016) · Language, Cognition and Neuroscience · doi:10.1080/23273798.2015.1102299 · Cited by 1,087
Understanding dopamine and reinforcement learning: the dopamine reward prediction error hypothesis
Glimcher, P. W. (2011) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1014269108 · Cited by 955
Interactive machine learning for health informatics: when do we need the human-in-the-loop?
Holzinger, A. (2016) · Brain Informatics · doi:10.1007/s40708-016-0042-6 · Cited by 906
Metadata
- Authors
- Bush, R. R., & Mosteller, F.
- Venue
- Psychological Review
- Published
- 1951
- Volume
- 58
- Issue
- 5
- Pages
- 313-323
- ISSN
- 0033-295X (ISSN-L)
- 1939-1471
- OpenAlex
- W2088247534
- Cited by
- 586
- References
- 10
- FWCI
- 11.96
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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