A sequential truel is a generalisation of duel. This type of games is known because of the «survival of the weakest» paradox, where weakest player have the highest probability of survival. We analyse a typical variation of this model, in which players are allowed to shoot in the air. We show...

We consider a simplified model of finance market where two players carry on direct multistage bidding with risky assets (shares). One of the players (the insider) is informed on the liquidation price of a share, the other player knows its probability distribution only. It is shown that the...

The paper discusses convergence of evolutionary dynamics to mixed equiliria including different behavior strategies. Models of cooperative and altruistic behavior spreading are considered. The paper reveals special features of human behavior evolution in comparison with behavior in biological...

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...

We propose a new model of equipment degradation. In it, the machine is subjected to random latent failures, the danger of which depends on the equipment condition and after each failure the intensity of the equipment's benefits decreases by a random amount. Equipment that brings negative...

The purpose of the article is modeling the efficiency system assessment of network infrastructure subsystems development and identifying their natural monopoly properties. Methods and models of natural monopoly theory, nonlinear network transport projection and variation analysis are used. The...

New mathematical algorithm is proposed to find the controlling influences in a problem described by the system of ordinary differential equations but containing some unknown parameters which cannot be measured. The only restriction is that these parameters change slowly on the considered time...

The analysis of the content of kinds of performance of future Bachelor of Economics has been conducted to detail the means of competency development, to identify common cultural and professional competencies which are focused on the usage of information technologies in teaching Mathematics....