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Intransitivity

Index Intransitivity

In mathematics, intransitivity (sometimes called nontransitivity) is a property of binary relations that are not transitive relations. [1]

25 relations: Binary relation, Condorcet method, Condorcet paradox, Consensus decision-making, Cycle (graph theory), Economics, Equivalence relation, Food chain, Freemasonry, Game theory, Majority rule, Mathematics, Nontransitive dice, Penney's game, Preference, Preference (economics), Probability vector, Psychology, Reflexive relation, Rock–paper–scissors, Single-elimination tournament, Taste (sociology), Transitive relation, Transposition (logic), Value (ethics).

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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Condorcet method

A Condorcet method is an election method that elects the candidate that would win a majority of the vote in all of the head-to-head elections against each of the other candidates, whenever there is such a candidate.

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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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Consensus decision-making

Consensus decision-making is a group decision-making process in which group members develop, and agree to support a decision in the best interest of the whole.

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Cycle (graph theory)

In graph theory, a cycle is a path of edges and vertices wherein a vertex is reachable from itself.

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Economics

Economics is the social science that studies the production, distribution, and consumption of goods and services.

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Equivalence relation

In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive.

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Food chain

A food chain is a linear network of links in a food web starting from producer organisms (such as grass or trees which use radiation from the Sun to make their food) and ending at apex predator species (like grizzly bears or killer whales), detritivores (like earthworms or woodlice), or decomposer species (such as fungi or bacteria).

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Freemasonry

Freemasonry or Masonry consists of fraternal organisations that trace their origins to the local fraternities of stonemasons, which from the end of the fourteenth century regulated the qualifications of stonemasons and their interaction with authorities and clients.

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Game theory

Game theory is "the study of mathematical models of conflict and cooperation between intelligent rational decision-makers".

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Majority rule

Majority rule is a decision rule that selects alternatives which have a majority, that is, more than half the votes.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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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.

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Penney's game

Penney's game, named after its inventor Walter Penney, is a binary (head/tail) sequence generating game between two players.

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Preference

A preference is a technical term in psychology, economics and philosophy usually used in relation to choosing between alternatives; someone has a preference for A over B if they would choose A rather than B.

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Preference (economics)

In economics and other social sciences, preference is the ordering of alternatives based on their relative utility, a process which results in an optimal "choice" (whether real or theoretical).

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Probability vector

In mathematics and statistics, a probability vector or stochastic vector is a vector with non-negative entries that add up to one.

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Psychology

Psychology is the science of behavior and mind, including conscious and unconscious phenomena, as well as feeling and thought.

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Reflexive relation

In mathematics, a binary relation R over a set X is reflexive if every element of X is related to itself.

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Rock–paper–scissors

Rock-paper-scissors (also known as scissors-paper-rock or other variants) is a hand game usually played between two people, in which each player simultaneously forms one of three shapes with an outstretched hand.

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Single-elimination tournament

A single-elimination, knockout, or sudden death tournament is a type of elimination tournament where the loser of each match-up is immediately eliminated from the tournament.

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Taste (sociology)

In sociology, taste is an individual's personal and cultural patterns of choice and preference.

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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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Transposition (logic)

In propositional logic, transposition is a valid rule of replacement that permits one to switch the antecedent with the consequent of a conditional statement in a logical proof if they are also both negated.

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Value (ethics)

In ethics, value denotes the degree of importance of some thing or action, with the aim of determining what actions are best to do or what way is best to live (normative ethics), or to describe the significance of different actions.

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Redirects here:

Antitransitive, Antitransitive relation, Antitransitivity, Intransitive preference, Intransitive relation, Intrasitive, Non-transitive relation, Nontransitive relation.

References

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

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