Coordinated management mechanisms in active systems

The background and recent researches of the incentive compatible mechanisms in active systems performed by the author are presented. These include the correct mechanisms optimality with full awareness of the center, the optimality of open control principle, the optimality of the incentive compatible mechanisms with incomplete awareness of the center, building optimal incentive compatible mechanisms in network active systems, coordination of network partitions, mechanisms in multi-element active systems with a dual network communication structure. The first parts of the article bring together the methods of coordinated management published at different times, and the last part describes the new results of constructing and analyzing coordinated mechanisms for dual network structures based on the results of previous studies. The dual relationships of agents are determined by the totality of relationships between the sets of acceptable values of agent strategies, and the totality of relationships in the goal functions of agents.