Discrete Colonel Blotto and General Lotto Games

Sergiu Hart

(Acrobat PDF files)

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.

(*) Errata: Two misprints on page 459, where the inequality signs have been reversed. Thanks to Ron Siegel for pointing this out.

(**) Addendum: A simple unifying formula for the values of the Discrete General Lotto games.

See also:


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© Sergiu Hart