The Game Theory is a fundamental substrate to the understanding of conflicts and to the decision-making processes preceding its resolution. Therefore, this theory becomes important for the analysis of conflict resolution methods, which are commonly used to settle various types of games observed in the daily routine. Specifically in the mediation process, the theory’s importance is even greater as it has a profound impact on the behavior of the third impartial party who conducts the practice: the mediator. It is thus interesting to investigate how the game identification may be relevant to the mediator’s choice not only of the appropriate techniques and tools, but also of the mediation’s approach itself.