Asymmetric Hat Game with three players and three colors
  Winning probabilities of The Hat Game (Ebert's Hat Problem) with three players and three colors are only known in the symmetric case: all probabilities of the colors are equal. This paper solves the asymmetric case: probabilities may be different. We find winning probabilies and optimal strategies in all cases. 
Theo van Uem
math.CO cs.DM cs.IT math.IT