DATA MODEL SPECIFIC MATRIX AND GAME THEORY APPLICATIONS

Under conventional game theory models, a deeper analysis of players' mixed strategies through probabilistic methods has become a mainstream analytical approach. By infinitely approaching a fixed probabilistic expected value point, traditional equilibrium algorithms in game theory can calculate equilibrium points. However, in most cases, it is not possible to directly make relevant final predictions in games through probabilistic means. As a result, the practical application of game theory is very limited, making it difficult to be widely applied as a module of applied mathematics. This paper provides an overview of the model architecture for the application of game theory through computational mathematical methods based on matrix model calculations. Although it considers fundamentals similar to Nash equilibrium, there are still essential differences.