Software market is considered as a new object for the mathematical economics. A statistical study of the server operating systems market is provided, static and dynamic models of for-profit and non-for-profit software developers mixed duopoly are built (taking into account market growth,...

The article analyzes the ways of making investment decisions. The use of net present value (NPV) and internal rate of return (IRR) are criticized. Describes the indicator « the indicator of the speed of specific increment in value» (IS). The numerical example, proposed in the form of a...

A game-theoretical model of the investment value formation of the instruments of corporate control (shares or stakes in equity) is formulated and analyzed. It is shown that this value depends significantly on the allocation of equity among the owners, and the on the possibilities of the...

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...

The high level of uncertainty in the development of the Russian economy at the current stage is predetermined by the negative impact of the Covid-19 pandemic and the growth of sanctions restrictions. The socio-economic consequences of these factors continue to constrain the development of all...