In reply to GrahamD:
> I actually tie into the middle for this reason. The second only needs to tie in once you have finished and all the twists in the rope can work themselves out. If you tie onto both ends, any twist in the rope can't work themselves out of it. Ultimately, I don't think it matters that much.
Often use a half rope doubled up for short single pitch trad.
Leader ties into both ends for two reasons.
If the belay is well back, can use either end to belay points, assymetrically if required. Can also drop one rope to tie back to remote anchor.
There is no need for the second to tie in or use stopper knots to prevent the leader running off the end of the rope if a fall occurs well up the pitch as the middle of the rope cannot pass the belay plate. Second should tie in before taking off belay plate
I always flake out the rope before climbing and coil up double, so rope kinks are rarely a problem.