The model of rational stimulation of project team members based on game theory tools

Abstract

This work is devoted to the development of recommendations for managing a project team at the conflict stage of its formation using game theory tools. In the course of the study, the main approaches to modeling the activities of the project team were described, as well as the features of the process of its formation were considered in detail. To model business activity at the conflict stage of team formation, a game-theoretic model of a hierarchical type was selected and adapted. The constructed model of team stimulation, as a kind of hierarchical game, allows us to consider the interaction of the management center both with the team as a whole and with individual participants. The adapted model is used in the task of finding a common team solution. Unlike the basic model, the adapted model does not use the type of each of the team members, which significantly reduces the amount of information needed for calculations, and also simplifies the calculations themselves. At the same time, information about the complexity of the task, the relationship between team members, as well as the priority of the task assigned to the participants was added to the basic model. In comparison with the empirical decision-making on incentives, the developed model allows the management center not only to achieve the tasks assigned to the project team with guarantee and on time, but also to use the company's monetary resources rationally.