Mathematical modeling of conflicts

Subject of research: conflicts of various origins. Purpose of research: to develop a mathematical model of the conflict, to obtain a single strict definition of the conflict, allowing to formalize any conflict and describe it mathematically. Methods and objects of research: the methods of control theory and methods of the theory of dynamical systems are used in the work. The conflict model is described by difference equations. Main results of research: the definition of conflict is formulated, which allows to formalize any conflict. A mathematical model of conflicts is constructed. The possible ways of the conflicting parties' influence on each other are considered and analyzed. The analysis has shown that the management of conflict situations is fundamentally different from the management of technical facilities. If in management theory it is possible to influence the cause of the mismatch, then in a conflict situation, as a rule, there is no such possibility. Based on the presented model, the conflict between an employee and an employer is considered and an analysis of this conflict is carried out from the point of view of management theory. The necessary and sufficient conditions for a conflict-free state of a system with two subjects are obtained.