A comparison of game theory and learning theory

It is shown that Estes' formula for the asymptotic behavior of a subject under conditions of partial reinforcement can be derived from the assumption that the subject is behaving rationally in a certain game-theoretic sense and attempting to minimax his regret. This result illustrates the need for specifying the frame of reference or set of the subject when using the assumption of rationality to predict his behavior.     

A closed-loop theory of motor learning

Following a discussion of the meaning of the term "skills" and a review of historical influences on their learning, a closed-loop theory for learning simple movements is presented. Empirical generalizations from the literature are stated, and the theory is used to explain them. The generalizations are of 2 classes: learning through the application of knowledge of results, and the effects of withdrawing knowledge of results.     

A learning theory account of depression

Learning theory provides a foundation for understanding and deriving treatment principles for impacting a spectrum of functional processes relevant to the construct of depression. While behavioral interventions have been commonplace in the cognitive behavioral tradition, most often conceptualized within a cognitive theoretical framework, recent years have seen renewed interest in more purely behavioral models. These modern learning theory accounts of depression focus on the interchange between behavior and the environment, mainly in terms of lack of reinforcement, extinction of instrumental behavior, and excesses of aversive control, and include a conceptualization of relevant cognitive and emotional variables. These positions, drawn from extensive basic and applied research, cohere with biological theories on reduced reward learning and reward responsiveness and views of depression as a heterogeneous, complex set of disorders. Treatment techniques based on learning theory, often labeled Behavioral Activation (BA) focus on activating the individual in directions that increase contact with potential reinforcers, as defined ideographically with the client. BA is considered an empirically well‐established treatment that generalizes well across diverse contexts and populations. The learning theory account is discussed in terms of being a parsimonious model and ground for treatments highly suitable for large scale dissemination.     

A mathematical theory of learning transformational grammar

How to explain the fact that children learn language is a central problem for both psychology and linguistics. Suppes says that “the linguists' insistence that they will accept nothing less than a complete and detailed account will probably turn out to be the most important conceptual demand on psychology in this century”. This paper speaks to that demand by presenting a complete formal characterization of the learning process and the language environment in which it operates. The assumptions are in general accord with psychological and linguistic principles. It is proved that the system converges; that is, the learning process, acting on the linguistic information it receives, learns the language, according to a formal criterion.     

A modular theory of learning and performance

We describe a theory to account for the acquisition and extinction of response rate (conditioning) and pattern (timing). This modular theory is a development of packet theory (Kirkpatrick, 2002; Kirkpatrick & Church, 2003) that adds a distinction between pattern and strength memories, as well as contributing closed-form equations. We describe the theory using equations related to a flow diagram and illustrate it by an application to an experiment with repeated acquisitions and extinctions of a multiple-cued-interval procedure using rats. The parameter estimates for the theory were based on a calibration sample from the data, and the predictions for different measures of performance on a validation sample from the same data (cross-validation). The theory’s predictions were similar to predictions based on the reliability of the behavior.     

A theory of learning and transfer: II

The theory of discrimination learning developed in Part I of this paper is extended to more complex learning situations such as those used for differentiating relative from absolute habits. The greater difficulty of learning an absolute discrimination than of learning a relative discrimination is predicted. The theory is also extended to cover cases of transfer. It predicts that under the ordinary training conditions transfer to new stimulus situations will be on a relative basis, and it predicts the type of transfer to be expected under other training conditions. A number of additional established facts of learning and transfer can be deduced from the theory. Methods of testing the adequacy of the theory by new and more crucial experiments are suggested.     

A theory of learning and transfer: I

A rational theory of discrimination learning is developed for the special case in which the subject must discriminate between two stimuli which differ with respect to one variable such as size or brightness. It is shown that the previous equations developed by Gulliksen and Thurstone are special cases of the present one. It is predicted that the ultimate level of accuracy of the discrimination is inversely related to the difference, as determined psychophysically, between the two stimuli. Other implications of the theory for experimental work are presented.We are grateful to the members of Professor Thurstone's Seminar in Mathematical Psychology for criticism of this paper and particularly to Mr. John Reiner for assistance in the derivations involved.     

Contingent associations and the double-function,verbal-discrimination task

Three experiments examined the role of contingent associations in learning double-function, verbal-discrimination lists. Some 15-pair lists of category instances were constructed in such a way that the learning of three contingent associations based on category names would mediate correct performance for all 15 pairs. The first experiment gave no evidence that the three contingencies aided learning. The second experiment showed that subjects could be taught the three contingent associations in isolation and that they could then apply them successfully to the double-function list. To make the contingencies more apparent to the subjects, the category names were used during feedback in the third experiment. The learning was not facilitated by such feedback. It was concluded that the learning observed for the usual double-function list does not involve contingent associations.     

Physiological learning theory

Attention or concentration requires control of activity in those excess neurons that are not necessary for the present task. The control is probably not a massive inhibitory suppression but may be a recruiting process, a function of complex perceptual and associative learning that begins with early experience. Inhibition, however, may still be of crucial importance as a sharpener of associative mechanisms, and the child with minimal brain damage may have suffered a selective loss of inhibitory neurons.Paper prepared for reading at the Ciba Medical Horizons conference on MBD (minimal brain dysfunction), Omaha, Nebraska, April 2, 1976.