Automata with Multivalued Input and Their Behavior in Random Environments

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Abstract
In the last quarter century, the interests of the investigators of automata have ranged over many problems, from algorithms for economical and reliable relay-type automata to abstract theory, including problems of representability of events in various automata. Among the many topics of that theory, much attention has recently been devoted to behavior of automata in competitive situations and games. The interest in these topics was stimulated by developments in physiology and psychology, by attempts to explain the development of purposeful behavior in animals and by the desire to simulate behavioral acts. Later, it was found that the results achieved in this field were useful in several complex control problems, in particular, the control of industrial plants, and this led to new problems in the theory. In this paper we shall sketch out an approach to the problem of behavior of automata in various situations (environments).

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