Thanks very much for your reply Vladimir. But are you sure that is correct?
I have never seen that kind of restriction to a single choice-situation mentioned before when transitivity is presented. E.g. there is nothing like that, as far as I can see, in Peterson’s Decision theory textbook, nor in Bonano’s presentation of transitivity in his online Textbook ‘Decision Making’. All the statements of transitivity I have read just require that if a is preferred to b in a pairwise comparison, and b is preferred to c in a pairwise comparison, then a is also preferred to c in a pairwise comparison. There is no further clause requiring that a, b, and c are all simultaneously available in a single situation.
Thanks very much for your reply Vladimir. But are you sure that is correct?
I have never seen that kind of restriction to a single choice-situation mentioned before when transitivity is presented. E.g. there is nothing like that, as far as I can see, in Peterson’s Decision theory textbook, nor in Bonano’s presentation of transitivity in his online Textbook ‘Decision Making’. All the statements of transitivity I have read just require that if a is preferred to b in a pairwise comparison, and b is preferred to c in a pairwise comparison, then a is also preferred to c in a pairwise comparison. There is no further clause requiring that a, b, and c are all simultaneously available in a single situation.