Necktie paradox

Two persons, each given a necktie, start arguing over who has the cheaper one.

The first person reasons as follows: winning and losing are equally likely.

Turning to the losing and winning scenarios: if the person loses $40, then it is true that they have lost the value of their necktie; and if they gain $40, then it is true that they have gained more than the value of their necktie.

The win and the loss are equally likely, but what we call "the value of the necktie" in the losing scenario is the same amount as what we call "more than the value of the necktie" in the winning scenario.

[1] This paradox is a rephrasing of the simplest case of the two envelopes problem, and the explanation of the resolution is essentially the same.