Puzzles

At least tell me, the N-th person is talking about the color of the (N-1)-th person's, right?
Because it's not stated specifically in the conditions.

no one can stop him from doing that.. :D
Clarification from chat:

[Today 13:27] Kyle:
yes
[Today 13:27] vbn:
but for the examiners, it's as if they are naming the color of their own hat
[Today 13:26] vbn:
ah-ha
[Today 13:24] Kyle:
but they can agree in advance... they have the whole night to spare...
[Today 13:24] Kyle:
yes
[Today 13:23] vbn:
and could he talk about the (N-2)-nd and anyone else, and no one knows who he talked about?
[Today 13:22] Kyle:
vbn: he can do that...
[Today 13:11] vbn:
At least tell me, the N-th person is talking about the color of the (N-1)-th person's, right? Because it's not stated specifically in the conditions.