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Nontransitive dice

Index Nontransitive dice

A set of dice is nontransitive if it contains three dice, A, B, and C, with the property that A rolls higher than B more than half the time, and B rolls higher than C more than half the time, but it is not true that A rolls higher than C more than half the time. [1]

18 relations: Bill Gates, Binary relation, Blotto game, Bradley Efron, Conditional probability, Condorcet paradox, Dice, Edward O. Thorp, Freivalds' algorithm, Icosahedron, Nontransitive game, Oskar van Deventer, Pentagonal trapezohedron, Probability, Tetrahedron, Timothy Gowers, Transitive relation, Warren Buffett.

Bill Gates

William Henry Gates III (born October 28, 1955) is an American business magnate, investor, author, philanthropist, humanitarian, and principal founder of Microsoft Corporation.

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Binary relation

In mathematics, a binary relation on a set A is a set of ordered pairs of elements of A. In other words, it is a subset of the Cartesian product A2.

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Blotto game

A Blotto game, Colonel Blotto game, or divide-a-dollar game is a type of two-person zero-sum game in which the players are tasked to simultaneously distribute limited resources over several objects (or battlefields).

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Bradley Efron

Bradley Efron (born May 24, 1938) is an American statistician.

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Conditional probability

In probability theory, conditional probability is a measure of the probability of an event (some particular situation occurring) given that (by assumption, presumption, assertion or evidence) another event has occurred.

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Condorcet paradox

The Condorcet paradox (also known as voting paradox or the paradox of voting) in social choice theory is a situation noted by the Marquis de Condorcet in the late 18th century, in which collective preferences can be cyclic, even if the preferences of individual voters are not cyclic.

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Dice

Dice (singular die or dice; from Old French dé; from Latin datum "something which is given or played") are small throwable objects with multiple resting positions, used for generating random numbers.

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Edward O. Thorp

Edward Oakley Thorp (born August 14, 1932) is an American mathematics professor, author, hedge fund manager, and blackjack player.

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Freivalds' algorithm

Freivalds' algorithm (named after Rūsiņš Mārtiņš Freivalds) is a probabilistic randomized algorithm used to verify matrix multiplication.

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Icosahedron

In geometry, an icosahedron is a polyhedron with 20 faces.

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Nontransitive game

A non-transitive game is a game for which the various strategies produce one or more "loops" of preferences.

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Oskar van Deventer

Oskar van Deventer is a Dutch puzzle maker.

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Pentagonal trapezohedron

The pentagonal trapezohedron or deltohedron is the third in an infinite series of face-transitive polyhedra which are dual polyhedra to the antiprisms.

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Probability

Probability is the measure of the likelihood that an event will occur.

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Tetrahedron

In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners.

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Timothy Gowers

Sir William Timothy Gowers, (born 20 November 1963) is a British mathematician.

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Transitive relation

In mathematics, a binary relation over a set is transitive if whenever an element is related to an element and is related to an element then is also related to.

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Warren Buffett

Warren Edward Buffett (born August 30, 1930) is an American business magnate, investor, and philanthropist who serves as the chairman and CEO of Berkshire Hathaway.

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Redirects here:

Efron dice, Efron's dice, Intransitive dice, Non-Transitive Dice, Non-transitive dice, Paradoxical dice.

References

[1] https://en.wikipedia.org/wiki/Nontransitive_dice

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