NON-TRANSITIVE GAMING ELEMENTS AND GAMING METHODS
First Claim
1. Non-transitive gaming elements, comprising:
- a) a first one or more gaming elements configured for providing a first random outcome associated with a score;
b) a second one or more gaming elements configured for providing a second random outcome associated with a score; and
c) a third one or more gaming elements configured for providing a third random outcome associated with a score, wherein;
the second one or more gaming elements provides an advantage represented by higher scores, on average, as compared with the scores of the first one or more gaming elements, the third one or more gaming elements provides an advantage represented by higher scores, on average, as compared with the scores of the second one or more gaming elements and the first one or more gaming elements provides an advantage represented by higher scores, on average, as compared with the scores of the third one or more gaming elements, and wherein each of the three respective advantages are all less than 3 percent and each advantage does not differ from the mean of the three advantages by more than 20 percent.
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Abstract
Non-transitive gaming elements, including a first, a second and a third one or more gaming elements, respectively, wherein the second provides an advantage represented by higher scores, on average, as compared with the scores of the first, the third provides an advantage represented by higher scores, on average, as compared with the scores of the second and the first provides an advantage represented by higher scores, on average, as compared with the scores of the third, and wherein each of the three respective advantages are all less than 3 percent and each advantage does not differ from the mean of the three advantages by more than 20 percent.
17 Citations
27 Claims
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1. Non-transitive gaming elements, comprising:
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a) a first one or more gaming elements configured for providing a first random outcome associated with a score; b) a second one or more gaming elements configured for providing a second random outcome associated with a score; and c) a third one or more gaming elements configured for providing a third random outcome associated with a score, wherein; the second one or more gaming elements provides an advantage represented by higher scores, on average, as compared with the scores of the first one or more gaming elements, the third one or more gaming elements provides an advantage represented by higher scores, on average, as compared with the scores of the second one or more gaming elements and the first one or more gaming elements provides an advantage represented by higher scores, on average, as compared with the scores of the third one or more gaming elements, and wherein each of the three respective advantages are all less than 3 percent and each advantage does not differ from the mean of the three advantages by more than 20 percent. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10)
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11. Non-transitive gaming elements, comprising:
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a) a first one or more dice configured for generating a first random roll outcome associated with a score; b) a second one or more dice configured for generating a second random roll outcome associated with a score; and c) a third one or more dice configured for generating a third random roll outcome associated with a score, wherein; the second one or more dice is further configured to provide a higher roll score at a statistical advantage of x as compared with the roll score of the first one or more dice, the third one or more dice is further configured to provides a higher roll score at a statistical advantage of y as compared with the roll score of the second one or more dice and the first one or more dice is further configured to provide a higher roll score at a statistical advantage of z as compared with the roll score of the third one or more dice, wherein x, y and z are each values that are greater than zero percent and less than 5 percent. - View Dependent Claims (12, 13, 14, 15, 16, 17, 18)
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19. Gaming apparatus for producing non-transitive random outcomes, comprising:
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a) a first one or more gaming elements configured for providing a first randomly generated score; b) a second one or more gaming elements configured for providing a second randomly generated score; and c) a third one or more gaming elements configured for providing a third randomly generated score, wherein the first, second and third gaming elements are configured for; the second randomly generated score to be a higher score, on average, than the first randomly generated score by an advantage between greater than zero percent and less than 5 percent, and the third randomly generated score to be a higher score, on average, than the second randomly generated score by an advantage between greater than zero percent and less than 5 percent, the first randomly generated score to be a higher score, on average, than the third randomly generated score by an advantage between greater than zero percent and less than 5 percent, with each of the three pairings of the first, second or third randomly generated scores having a probability of greater than 5 percent and less than 15 percent of being a tie. - View Dependent Claims (20, 21, 22, 23, 24, 25, 26, 27)
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Specification