[HellzStormer]

Exactly! If the rules are clear from the start that youcwill offer the switch, then it's useless, so dont bother. If the rules are not clear that you will do it, then maybe you only offered it because you know I have the right one and want to avoid the loss. So it's worst than useless.

If the value increases, there is this same question, if you can know if I'm right or not, then you offering me a milion is just a trick isn't it? Also, you clearly wouldn't just give out one milion anyways, you dont havr the budget for that.

The only case is seems useufl to switch is when additional information was added in a guaranteed way (monty hall paradox)