Why Transitivity Violations Can Be Rational
ananyo writes "Organisms, including humans, are often assumed to be hard-wired by evolution to try to make optimal decisions, to the best of their knowledge. Ranking choices consistently — for example, in selecting food sources — would seem to be one aspect of such rationality. If A is preferred over B, and B over C, then surely A should be selected when the options are just A and C? This seemingly logical ordering of preferences is called transitivity. Furthermore, if A is preferred when both B and C are available, then A should 'rationally' remain the first choice when only A and B are at hand ... But sometimes animals do not display such logic. For example, honeybees and gray jays have been seen to violate the Independence of Irrational Alternatives, and so have hummingbirds ... Researchers have now used a theoretical model to show that, in fact, violations of transitivity can sometimes be the best choice (original paper) for the given situation, and therefore rational. The key is that the various choices might appear or disappear in the future. Then the decision becomes more complicated than a simple, fixed ranking of preferences. So while these choices look irrational, they aren't necessarily."
In other words, the scientists didn't understand the criteria for ranking the choices. Nothing to see here...
You obviously know nothing about women.
My wife loves chocolate as well, but hates to eat it because she likes being skinny more than she likes eating chocolate (and if you ask any woman, the two are mutually exclusive).
Right: You're the one perpetuating misogynistic stereotypes, but I'm the guy who knows nothing about women...
An enigma, wrapped in a riddle, shrouded in bacon and cheese