Abstract:
In this paper it is considered a hierarchical system consisted of the State and several companies (investors). The purpose of the work is to define conditions for the existence of the rational strategy behavior of all members of the examined social-economic system. The State assumed to get the tax scheme and the tax rate. Investors maximize their utility functions knowing the State strategy and considering it fixed.
Keywords:discrete models, hierarchical system, accumulation–consumption, taxation of property, flat rate.