Modern mathematical methods and approaches to solving various applied problems in frames of the general decision making theory are considered. The decision making theory deals with the process of optimal alternative selection from a set of possible alternatives and corresponding models. Exposition includes types of conditions for making the decision: full information condition (criteria analysis),
A new approach to an investigation and modeling of dynamical systems in the economics is considered. Using a cellular automaton model, we show that stock markets, as complex systems with many coupled degrees of freedom, can operate in a stationary critical state associated with the regime of self-organized criticality (SOC). It is suggested that SOC
New diagnostics and modeling approaches for dynamic processes of economics have been considered. It has been shown that most of economic variables exhibit complex fractal temporal behavior rather than simple trends or cycles implied by traditional approaches of economic time series analysis. Fractal analysis indices are suggested that allow to obtaining valuable information about degree
