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In the standard Minority Game, players use historical minority choices as thesole public information to pick one out of the two alternatives. However,publishing historical minority choices is not the only way to present globalsystem information to players when more than two alternatives are available.Thus, it is instructive to study the dynamics and cooperative behaviors of thisextended game as a function of the global information provided. We numericallyfind that although the system dynamics depends on the kind of publicinformation given to the players, the degree of cooperation follows the sametrend as that of the standard Minority Game. We also explain most of ourfindings by the crowd-anticrowd theory.Comment: Extensively revised, to appear in New J Phys, 7 pages with 4 figure

Multiple choice minority game with different publicly known histories