Game theory is a branch of applied mathematics that has been expanded in various sciences, including social sciences, economics, and political sciences, due to its strong foundations. However, this theory has not been used in issues related to literature and its related subjects so far. The issue of poetic music and poetic authority in quatrains and the mutual influence of the two on each other in order to achieve balance and emergence in the real world is one of these issues. The purpose of this study is to investigate the extent to which poetic music is affected by poetic authority in quatrains and to determine the optimal weight based on these two actors. In this study, the objective functions of the problem were specified and a multi-criteria decision structure was formed. Then, the structure of the game matrix was designed using the transfer matrix. Also, GMCR II software was used to analyze the game between the actors. The adjusted standard deviation method was used to calculate the severity of the weights under study, and the corresponding numerical values for music in each weight were estimated based on the number of consonants. The results show that the equilibrium point in the game between the two actors is strategy number. This point indicates a situation that is more likely to occur in real conditions, and this is exactly the strategy that corresponds to meter number 2 among the 12 meters studied,