The aim of this study is to examine the literature on game theory, behavioral game theory, and bargaining method, and to find out the role of game bargaining in the employer-employee relationship by using a case study. To achieve the objectives, the author researched scientific articles published in reputable scientific journals and analyzed the case study by using a systematic trial-and-error method along with game theory and the bargaining method. This study makes a significant contribution to our understanding of negotiations and decision-making processes in labor markets. The methodology applied combines the principles of game theory, which analyzes strategic interactions between employer and employee, with the systematic trial-and-error method, which involves iteratively testing different negotiation strategies to identify the most effective ones. By using this method, employer-employee relationships can benefit from improved communication, collaboration, and more mutually satisfactory agreements.