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This paper studies Ebert's hat problem for three and four players and twocolors, where the probabilities of the colors may be different for each player.Our goal is to maximize the probability of winning the game and to describewinning strategies We use the concept of an adequate set. The construction ofadequate sets is independent of underlying probabilities and we can use thisfact in the analysis of our general case.

Generalized Three and Four Person Hat Game