Over the last five decades, the modeling of characteristic functions has been the key focus of cooperative game theory research. Solutions for distributing goods among players have been extensively explored, while less emphasis has been placed on examining player interactions. This paper emphasizes the importance of player relationships, with the help of the ‘player interaction index’ to capture coalition formation needs. By representing interactions through a graph, this study deepens the understanding of player relationships and synergies. It elaborates a graphical representation using network analysis to visualize player interactions, enhancing the understanding of the dynamics within the game.