Abstract

The aim of the study is to develop a basic model that takes into account several stakeholders and allows one to determine the equilibrium positions of all the players participating in the Scrum methodology project; in addition, to highlight recommendations for using the model, its advantages and future improvements. The article is devoted to developing a tool that can correct the governing body’s work when making strategically important decisions. Research methods include an analytical review of articles in the Scopus and RSCI scientific publication databases; comparison and selection of stakeholders, the Scrum process stages and approaches to the solution; forming a mathematical description of the model, and a numerical experiment. The novelty of the work lies in considering a dynamic game based on various stakeholders’ strategic interaction in the project using the Scrum methodology, which predetermines some of the features and limitations of the game. The study results contain a description of the implemented model assumptions, the interpretation of the formulas used in it, the equilibrium position found, a visual display of the game process, a numerical experiment, and recommendations for using the basic model. The results obtained allow forming recommendations for making strategic decisions and conducting a series of experiments to display possible scenarios for the project development. In the future, this model can be improved by adding supplemental parameters to obtain more correct and realistic results. Eventually, the above model provides an opportunity to influence managerial decision-making and increase both overall and individual profits.

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