Evoking the schoolyard game rock-paper-scissors, that image links thematically to a suite of unusually shaped dice (Nontransitive
Dodecahedron I, II, and III) that might be familiar to fantasy gamer communities--think Dungeons &c Dragons and its many online variations--and seems to transpose the imaginary to yet another principle: probability.
However, sensible decision makers can hold nontransitive
preferences, as illustrated by the Marquis de Condorcet's paradox in aggregating preferences over several voters.
Instead, we conducted a hypothetical monopolist test to evaluate whether a monopolist in North America profitably could implement a nontransitive
increase in price of five percent.
Also, thanks to consciousness, human beings possess an inwardness that renders possible an existence "in themselves." Moral actions reach beyond the self but also have a consistent "'in-self" or nontransitive
dimension whereby they re-echo in the life of that self thanks to consciousness.
These factors may explain the significant number of nontransitive
outcomes in the data.
Fishburn, Peter, C., "Nontransitive
Measurable Utility," Journal of Mathematical Psychology, Vol.
String overlaps, pattern matching, and nontransitive
According to Hunter (1957), nontransitive
relations contain two premises with the repeated term in the middle (e.g., A < B, B < C), and these premises explicitly state relationships involving the repeated term (i.e., all those involving B).
Similarly, because the language variable recognizes that countries can speak more than one main language, the relation is again nontransitive
. For example, if anchor k speaks only French and country i speaks English and French, k and i speak the same language.
(18) This paradox, amplified in Arrow's famous Theorem, involves nontransitive
Competitive networks: nontransitive
competitive relationships in cryptic coral reef environments.
(1974) 'The nontransitive
consumer' Econometrica 42, pp.