As for completeness, I struggle to see any practical difference between being unwilling to choose between two outcomes, and finding them equally acceptable (which is allowed by completeness).
Or, one can imagine someone relentlessly flopping between two highly (un)desirable outcomes because they are unwilling to settle, and I think it’s obvious what the problem there is.
Have you read the papers I linked (or the more directly relevant papers cited by those)? What do you think about Aumann’s commentary on this question, for instance?
As for completeness, I struggle to see any practical difference between being unwilling to choose between two outcomes, and finding them equally acceptable (which is allowed by completeness).
Or, one can imagine someone relentlessly flopping between two highly (un)desirable outcomes because they are unwilling to settle, and I think it’s obvious what the problem there is.
Have you read the papers I linked (or the more directly relevant papers cited by those)? What do you think about Aumann’s commentary on this question, for instance?