Abstract
The Colonel Blotto Game is a game theory that can be applied to various social phenomena in reality, and prior research on various variations is also being conducted. This study attempted to build a strategy selection model using the concept of Quantal Response Equilibrium, an extension of the Nash Equilibrium, in the Colonel Blotto Game that assigned weights to each battlefield arrangement, identify the effectiveness of different strategies, and visualize the results. For this purpose, the rules and progression of the Colonel Blotto Game were mathematically defined and the optimal probabilistic strategy was analyzed. The results obtained using C++ were visualized and presented in two ways (a method based on troop deployment characteristic indicators and a method applying the PCA algorithm for dimensionality reduction). It was found that the smaller the model’s strategy selection volatility, the more dominant the equal distribution strategy is, and as the volatility increases, several characteristic strategies, including the equal distribution strategy, form a cyclical relationship.
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