The analysis of the optimum equilibrium to a game and theory model of hierarchic game under conditions of a mixed joint project management

ITPM 2024: pp. 103 - 113

Authors:

  1. Liubava Chernova
  2. Sergiy Titov
  3. Serhii Chernov
  4. Lyudmila Chernova
  5. Nataliia Kunanets

1 Admiral Makarov National University of Shipbuilding, Heroes of Stalingrad, 9, Mykolaiv, 54025, Ukraine

2 Admiral Makarov National University of Shipbuilding, Heroes of Stalingrad, 9, Mykolaiv, 54025, Ukraine

3 Admiral Makarov National University of Shipbuilding, Heroes of Stalingrad, 9, Mykolaiv, 54025, Ukraine

4 Admiral Makarov National University of Shipbuilding, Heroes of Stalingrad, 9, Mykolaiv, 54025, Ukraine

5 Lviv Polytechnic National University, Bandery, 12, Lviv, 79013, Ukraine; Lviv National University named after I.Franko Universitetska, 1, 79000, Lviv, Ukraine

Abstract 

The article provides an analysis of the optimum equilibrium to a game and theory model of
hierarchic game under conditions of a mixed joint project management. The authors considered
a situation providing for a project being managed both by the head organization and by several
contractor companies. They proposed a mathematic model enabling determination of the
optimum strategies of each party and finding the Nash equilibrium in the game. The analysis
results can be useful for efficient management of joint projects under conditions of competition
and cooperation between contractors and the head organization.
The paper shows an approach to analysis and synthesis of management in matrix structures of
the project management based on the game and theory modeling in hierarchic game systems.

Keywords

IT project, Agile management methodology, management of organizational processes,
evolutionary modeling, management efficiency, theory model, hierarchic game

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