This paper discusses the unknown before property of adapting systems which consists in that the adapting system may be operated without any information about its condition. It is necessary to know only some characteristics of its elements. It was found, however, that the economic methods of management have limited possibilities, it is impossible to regulate with their help all those parameters which are not involved in the process of exchange. Another, more universal, economic management method is provided. The economic method of management discussed in the paper enables one to separate the management of economy from labour-management relations and to expand the application field of mathematics in the field of management. The provided management method gives opportunity to get rid of centuries old bureaucracy because it enables one to substitute the considerable part of administrative - bureaucratic apparatus as well as many standard acts with one functional relationship.