Thank you for the detailed response. Lots of interesting ideas that I'll definitely read through in detail later on when I have more time.

I do think I meant something different by the term 'noise' than the way you read it but I'm not convinced it will matter in the end. You seem to be using noise to cover the case where voters make their decisions arbitrarily because they lack preferences. I was trying to make the point that the average forced voter might be little better than random at actually identifying the candidate that would lead to the greatest fulfillment of his preferences.