A theorem of existence of ruptures in the probability scale has been proven. The theorem can be used, e.g., in economics and forecasting. It can assist to solve paradoxes such as Allais paradox and the “four-fold-pattern” paradox and to create the correcting formula of forecasting.

The theorem of existence of the ruptures in the probability scale has been proved for a discrete case. The theorem can be used, e.g., in economics and forecasting. It can assist to solve paradoxes such as Allais paradox and the “four-fold-pattern” paradox and to create the correcting formula...

We develop a turnpike theory for a class of dynamic general equilibrium models where total demand function satisfy monotonicity conditions. As special cases, we receive well known results about asymptotic behavior of optimal paths.

We discuss the classification of local generic singularities of so called transitivity zones, arising in control theory and determined by a family of closed submanifolds in a linear space depending on parameters. Transitivity zone consists of parameter values such that the origin belongs to the...

The dynamic method of forecasting of the economy development is substantiated and the characteristics of its state are appointed. Presented are variants of the prognoses of changing the state of the economy, which were obtained by the method of dynamic modeling.

Using a statistical approach that is widespread in the natural sciences, a model of the production and technical system is built. The state of the production system is set by a multitude of objects of labour. The state of the subject of labor is given by a point in the phase of technological...