The work contains the results of studies of applied theoretical and game models of controlling the behavior of agents who make decisions based on a hierarchy of representations about significant parameters, representations of opponents, representations of representations, etc. d. In particular, the tasks of information management in the field of economics, marketing, politics, etc. are considered. d. The given general theoretical and particular applied results reflect the unified methodology of construction and study of applied mathematical models of information management , which can be effectively used in solving a wide class of problems of managing socio-economic systems. The work is designed for specialists (theoreticians and practitioners) in the management of socio-economic systems .