The mathematical notion of quasitransitivity is a weakened version of transitivity that is used in social choice theory and microeconomics. Informally, a relation is quasitransitive if it is symmetric for some values and transitive elsewhere. The concept was introduced by Sen (1969) to study the consequences of Arrow's theorem.
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notion of quasitransitivity is a weakened version of transitivity that is used in social choice theory and microeconomics. Informally, a relation is quasitransitive...
applications of in decision theory, psychometrics and utility models. A quasitransitiverelation is another generalization; it is required to be transitive only...
reasonable that the relation ">" is a semi-order while ≥ is quasitransitive. Conversely, from a given semi-order > the indifference relation ≈ can be reconstructed...
equivalence relation Partial function Partially ordered set Preorder Prewellordering Propositional function Quasitransitiverelation Reflexive relation Serial...
tolerance relation of a sublattice of a direct product of two-element lattices.: 40, Theorem 3 Dependency relationQuasitransitiverelation—a generalization...
preorder. Quasitransitive. A relation is quasitransitive if the relation on distinct elements is transitive. Transitive implies quasitransitive and quasitransitive...
or yRz. This is used in pseudo-orders in constructive mathematics. Quasitransitive for all x, y, z ∈ X, if xRy and yRz but neither yRx nor zRy, then xRz...
results in a Hasse diagram for a relation that is still quasitransitive, but violates both axiom 2 and 3; this relation might no longer be useful as a preference...
set. A right Euclidean relation is always quasitransitive, as is a left Euclidean relation. A connected right Euclidean relation is always transitive;...