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The eventological theory of decision-making, the theory of event-based decision-making is a theory of decision-making based on eventological principles and using results of mathematical eventology ; a theoretical basis of the practical eventology. The beginnings of this theory which have arisen from event-based representation of the reasonable subject and his decisions in the form of eventological distributions (E-distributions) of sets of events and which are based on the eventological H-theorem are offered. The illustrative example of the eventological decision-making by the reasonable subject on his own event-based behaviour in the financial or share market is considered.
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