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The colonel blotto game based on probability and statistics
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Abstract
The Colonel Blotto Game is famous as zero-sum game. The game asked players to get more passes(objects) than their opponents to win the game with limited regiments(resources). The one who put more regiments on the pass would get it, and player who has more passes would win the game. The Colonel Blotto Game could be used in athletics, business and competition in other forms: how the player uses specific amount of resource with strategies to gain more benefits than competitors. In this case, the Colonel Blotto Game could be seen transfer to a linear program problem, with constraints about limited resources to maximize what players get in the game. This article would analyze the strategy for the Colonel Blotto game in probability of winning and build the model by extending the Colonel Blotto Game with more regiments, more passes and weighted some passes to look for how these variables impact each other and find the general solution for this game. Then using linear program to check the final results. This article would focus on the resources, benefits and weighted of the benefits for the Colonel Blotto game to find out the directly relationship among these variables of the model with the strategy to win the game.
Keywords
colonel blotto game, zero-sum game, game theory.
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Cite this article
Hu,S. (2023). The colonel blotto game based on probability and statistics. Theoretical and Natural Science,11,207-213.
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Volume title: Proceedings of the 2023 International Conference on Mathematical Physics and Computational Simulation
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