The task in view objectively to describe economic, administrative, administrative, functionality from which necessary and sufficient conditions of rational management will be organized by tourist business and to show their universality. It is established that introduction of categories of economy and management in the analysis and synthesis of tourist systems by authors of the previous researches wasn't applied. Possibilities of the account of these categories on the basis of principles of formation of laws of the system approach and a relativity of the system analysis are defined. As a result of generalization the model of group decision-making process with actions, the initial data and criteria of an estimation is developed, conditions of losses of ability to resist to revolting influences are formulated and to restore the behavior through management parameters even after removal of this indignation, the condition of stabilization of a situation by creation of system of type the person - the person with object and a source of situational influence in tourist sphere is entered.