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Discrete Colonel Blotto and General Lotto games

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Abstract

A class of integer-valued allocation games—“General Lotto games”—is introduced and solved. The results are then applied to analyze the classical discrete “Colonel Blotto games”; in particular, optimal strategies are obtained for all symmetric Colonel Blotto games.

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Correspondence to Sergiu Hart.

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Dedicated with great admiration to David Gale on his 85th birthday.

Research partially supported by a grant of the Israel Science Foundation. The author thanks Judith Avrahami and Yaakov Kareev for raising the problem, Abraham Neyman for useful suggestions, and Tom Ferguson, Benny Moldovanu, and Aner Sela for comments and discussions.

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Hart, S. Discrete Colonel Blotto and General Lotto games. Int J Game Theory 36, 441–460 (2008). https://doi.org/10.1007/s00182-007-0099-9

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  • DOI: https://doi.org/10.1007/s00182-007-0099-9

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