I do like Piotras3's suggestion to limit the amount of times you can TIE. Without re-inventing the wheel and messing with too much development, could be something great to look at.
The problem I have with this one is that any number of TIEs picked will be arbitrary, and there is no good way to decide how many is the right number, and why.
"I don't know half of you half as well as I should like; and I like less than half of you half as well as you deserve."