In the monograph of Doctor of Technical Sciences D. A Novikov examines mathematical models of incentive mechanisms in socio-economic (active) systems A system of classifications of incentive tasks is introduced ; There is a class of basic models, incentive mechanisms (in two-level, single-elimination, static systems), covering the main known incentive models studied in the theory of active systems, the theory of hierarchical games, the theory of contracts and the theory of feasibility. The results of the analysis and synthesis of optimal incentive systems and optimal solution properties. are presented. For specialists in the theory of management of socio-economic systems, students of universities and graduate students of relevant specialties .