Strategy Analysis of the Colonel Blotto Game and Variations

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Sean Groathouse, Westminster College

Mathematics

Strategies for the Colonel Blotto game common in human play are generalized and compared through computer simulation. Furthermore, a variation on the game where the opponent’s resources are unknown is introduced, and differences between the variation and the classic game are explored with simulations on the common human strategies. Another variation on the scoring of the game is introduced and analyzed through simulations and a partial solution to the Nash equilibria in the two-front case.