Search for ways to resolve conflicts using the Monte Carlo method

The paper describes a general approach to finding ways to resolve conflict situations with discrete mismatch using a mathematical apparatus. Within the framework of mathematical modeling of conflicts, a general method for constructing a conflict function for each subject participating in the conflict has been developed. The main tasks of conflict resolution have been identified. Using the example of two subjects participating in the conflict, the conditions have been obtained that link the dissatisfaction functions of the subjects, under which the considered problems of conflict resolution will have a solution. The application of the Monte Carlo method to the search for a solution to conflict situations with discrete disagreement for each conflict resolution task has been shown. The considered approach to constructing a dissatisfaction function described using individual psychological characteristics of a person involved in a conflict allows one to better understand the causes of a conflict and make the right decision on resolving a conflict situation. The identified main problems of conflict resolution from the point of view of mathematical modeling of conflicts and the given diagram for constructing the objective function for these tasks can be applied to any type of conflict of any complexity.