A hypothesis of uncertain future was created and first applied in the field of utility and prospect theories. An extension of application of the hypothesis to the field of forecasting is considered in the article. The concept of inevitability of unforeseen events is a part of the hypothesis of...

A forbidden zones theorem, mathematical approach and model are proposed in the present article. In particular, the approach supposes that people decide as if there were some biases of the expectations of measurement data. The article is motivated by the need of a theoretical support for the...

This paper is a brief review and development of a part of the plenary report in the Moscow Institute of Physics and Technology. Two existing tools of sub-interval analysis (the sub-interval arithmetic, including incomplete data analysis, and sub-interval images) are reviewed and elements of two...

In the main random-lottery incentive system of experiments, the choices of certain outcomes are stimulated by random, uncertain lotteries. This “certain-uncertain” inconsistency is quite evident, but only recently revealed. Because of this inconsistency, conclusions from a random-lottery...

An existence theorem for a bias of the mean in the presence of data dispersion is proved. The aims are to use this theorem in experiments interpretation, probability theory, statistics, economics and management. The ultimate aims are to explain the well-known problems of utility and decision...