The work defines the features of financing the company's commercial projects, taking into account the formulated additional functions of financing based on the possible variability of alternatives for the long-term management of the company. The possibility of using a decomposition approach when choosing a solution to a global problem is substantiated, as well as an algorithm for generating a complete set of target indicators that satisfy specified restrictions at the lower hierarchical level. The possibility of using elements of the graph approach in the procedure for comparing budget options is substantiated, and statements are formulated that guarantee the reliability of preference relations for a specific criterion.
This paper provides an overview of the economic state of the market, taking into account objective risks affecting economic security. The possibility of constructing simulation models using systems of nonlinear equations is considered and justified. The understanding of global and local sustainability is substantiated. By using mathematical apparatus, the possibility of the existence of a negative impact of competing players operating in a particular market sector is considered. We define the conditions necessary for the existence of civilized competition, taking into account the peculiarities of matrix calculus. The possibility of presenting the described conditions of local stability of the stationary state of the system using a parametric approach is substantiated, and the conditions of stable competitive equilibrium of the system are formulated.
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