In game behavior a small subset of possibilitiesderek_farn writes "A group of physics grad students at Cornell have found that some players of a game with over 10^100 combinations can successfully predict the behavior of other players well enough to beat the majority of them. With such a huge number of possibilities it is surprising that people use such a small number of playing strategies.
Colonel Blotto is a game in which players assign soldiers to fields. In this implementation there are 10 fields and 100 soldiers. You must specify how many soldiers to send to each of the 10 fields. You don't know what the opposing general will do. Then, in each field, the soldiers face off: whoever has more soldiers wins the battle. Whoever wins more battles wins the war.
For example, a one strategy is "10 10 10 10 10 10 10 10 10 10" and another is "1 11 11 11 11 11 11 11 11 11". The second strategy will lose in the first field, but win the other 9, and therefore win the war."
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