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A Note on a Class of Probability Matching Models

Published online by Cambridge University Press:  01 January 2025

Julian Feldman
Affiliation:
University of California, Berkeley
Allen Newell
Affiliation:
The RAND Corporation

Abstract

Probability matching is shown to be a property of a broad class of models of binary choice behavior.

Type
Original Paper
Copyright
Copyright © 1961 The Psychometric Society

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Footnotes

*

This note is based in part on a section of Feldman's doctoral dissertation submitted to the Graduate School of Industrial Administration, Carnegie Institute of Technology.

References

Anderson, N. H. and Grant, D. A. A test of a statistical learning theory model for two-choice behavior with double stimulus events. J. exp. Psychol., 1957, 54, 305317.CrossRefGoogle ScholarPubMed
Bryant, S. J. and Marica, J. G. Strategies and learning models. Psychometrika, 1959, 24, 253256.CrossRefGoogle Scholar
Burke, C. J. and Estes, W. K. A component model for stimulus variables in discrimination learning. Psychometrika, 1957, 22, 133145.CrossRefGoogle Scholar
Bush, R. R. and Mosteller, F. Stochastic models for learning, New York: Wiley, 1955.CrossRefGoogle Scholar
Edwards, W. Reward probability, amount, and information as determiners of sequential two-alternative decisions. J. exp. Psychol., 1956, 52, 177188.CrossRefGoogle ScholarPubMed
Engler, J. Marginal and conditional stimulus and response probabilities in verbal conditioning. J. exp. Psychol., 1958, 55, 303317.CrossRefGoogle ScholarPubMed
Estes, W. K. and Straughan, J. H. Analysis of a verbal conditioning situation in terms of statistical learning theory. J. exp. Psychol., 1954, 47, 225234.CrossRefGoogle Scholar
Grant, D. A., Hake, H. W. and Hornseth, J. P. Acquisition and extinction of verbal conditioned responses with differing percentages of reinforcement. J. exp. Psychol., 1951, 42, 15.CrossRefGoogle ScholarPubMed
Hake, H. W. and Hyman, R. Perceptions of the statistical structure of a random series of binary symbols. J. exp. Psychol., 1953, 45, 6474.CrossRefGoogle ScholarPubMed
Kochen, M. and Galanter, E. H. The acquisition and utilization of information in problem solving and thinking. Information and Control, 1958, 1, 267288.CrossRefGoogle Scholar
Luce, R. D. Individual choice behavior: a theoretical analysis, New York: Wiley, 1959.Google Scholar
Nicks, D. C. Prediction of sequential two-choice decisions from event runs. J. exp. Psychol., 1959, 57, 105114.CrossRefGoogle ScholarPubMed
Rubinstein, I. Some factors in probability matching. J. exp. Psychol., 1959, 57, 413416.CrossRefGoogle ScholarPubMed
Siegel, S. Theoretical models of choice and strategy behavior: stable state behavior in the two-choice uncertain outcome situation. Psychometrika, 1959, 24, 303316.CrossRefGoogle Scholar
Siegel, S. and Goldstein, D. A. Decision-making behavior in a two-choice uncertain outcome situation. J. exp. Psychol., 1959, 57, 3742.CrossRefGoogle Scholar
Simon, H. A. A comparison of game theory and learning theory. Psychometrika, 1956, 21, 267272.CrossRefGoogle Scholar
Sternberg, S. H. A path-dependent linear model. In Bush, R. R. and Estes, W. K. (Eds.), Studies in mathematical learning theory, Stanford: Stanford Univ. Press, 1959.Google Scholar