My intuition was something like “you would get better satisfaction of preference in expectation even if you are uncertain about the future”, but I guess it doesn’t exactly work without first defining utility function. But what about first choosing between A- and B-, and then between A or B- in A- branch, and B or A- in B- branch—this way you get (A|B-|B|A-) with gaps vs. (A|B) in indifference case—wouldn’t the mixture with worse variants intuitively be worse than one with only good ones even if we can’t strictly say that incomplete preferences are contradicted?
My intuition was something like “you would get better satisfaction of preference in expectation even if you are uncertain about the future”, but I guess it doesn’t exactly work without first defining utility function. But what about first choosing between A- and B-, and then between A or B- in A- branch, and B or A- in B- branch—this way you get (A|B-|B|A-) with gaps vs. (A|B) in indifference case—wouldn’t the mixture with worse variants intuitively be worse than one with only good ones even if we can’t strictly say that incomplete preferences are contradicted?