Abstract
A forbidden zone theorem, hypothesis, and applied mathematical method and model are introduced in the present article. The method and model are based on the forbidden zones and hypothesis. The article is initiated by the well-known generic problems concerned with the mathematical description of the behavior of a man. The essence of the problems consists in biases of preferences and decisions of a man in comparison with predictions of the probability theory. The model is uniformly and successfully applied for different domains. The ultimate goal of the research is to solve some generic problems of behavioral economics, decision theories, and the social sciences.
Highlights
Random variables whose values lie within a finite interval and whose variances are non-zero are analyzed in the present article
A theorem is proven that establishes the existence of certain non-zero boundary bounds on the expectations of these r.v.s
2) A mathematical model that is uniformly true for different domains
Summary
Preliminaries Main Contributions Organization of the Article. Random variables whose values lie within a finite interval and whose variances are non-zero are analyzed in the present article. Such r.v.s can represent diverse types of data and information including measurement data. Two main contributions of the article can be preliminary noted.
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