Disclosed is a non-transitive casino game which utilizes a group of non-transitive gaming devices, One embodiment uses dice. Accordingly, each pair of dice has advantage over one other pair of non-transitive dice in the group. Each pair of dice has a different color to allow a banker or dealer to identify the hierarchy of the dice. In a table game version, a player first selects one pair of non-transitive dice from a group of non-transitive dice. A dealer then selects one of the remaining pair of the non-transitive dice. The dealer's selection ensures the dealer dice have a better than fifty percent advantage over the player-selected dice, neglecting any ties. A game comprises the player rolling the player-selected dice and the dealer rolling the dealer selected dice three successive times. Each of the player roll outcomes are compared to the corresponding dealer roll outcomes. Players are able to wager on either the player or dealer, and on a number of ties and other related outcomes. Another embodiment employs non-transitive card decks. The method of play is exactly the same as in the dice embodiment, except that the card decks must be shuffled after every card is dealt.
NON-TRANSITIVE WAGERING GAME