Editing Intransitivity (section)

== Occurrences in preferences<!--This section is linked from [[Preference (economics)]]--> ==

* Intransitivity can occur under [[majority rule]], in probabilistic outcomes of [[game theory]], and in the [[Condorcet voting]] method in which ranking several candidates can produce a loop of preference when the weights are compared (see [[voting paradox]]). 
* [[Intransitive dice]] demonstrate that the relation "{{sic|die|hide=y}} ''X'' rolls a higher number than die ''Y'' more than half the time" need not be transitive.
* In [[psychology]], intransitivity often occurs in a person's [[Value system|system of values]] (or [[preference]]s, or [[Taste (sociology)|tastes]]), potentially leading to unresolvable conflicts.
* Analogously, in [[economics]] intransitivity can occur in a consumer's [[Preference (economics)|preferences]]. This may lead to [[consumer behaviour]] that does not conform to perfect [[Rationality#Economics|economic rationality]].  Economists and philosophers have questioned whether violations of transitivity must necessarily lead to 'irrational behaviour' (see Anand (1993)).