This article proposes a new method of modeling active elements in production systems, including formulation of management tasks in hierarchical active systems in the circumstances of unidentifiability of reactions of the lower levels (workers); offers a game-theoretic model of active systems of corrective type; studies the mathematical models of incentives for the personnel in workflows; carries out parameters identification and validation of the basic and applied models; as well as develops a set of specific mathematical models to stimulate the performers of workflows.