Depleted, besieged and better for it

It's one of my favorite psychological quirks about soccer.
A red card reduces one team to 10 men, and instead of wilting, the remaining players take on a besieged mentality that sees them through to victory.
It doesn't happen every time, but it did today, as LIVERPOOL hosted EVERTON at Anfield in the 213th MERSEYSIDE DERBY.
I watched the match live on television before heading to work.
Everton's Marouane Fellaini and Liverpool's Sotirios Kyrgiakos converged feet first on a 50-50 ball in the 33rd minute.
Referee Martin Atkinson sent Kyrgiakos packing, with a straight red card. Fellaini could have been booked, at least, but instead limped off to be replaced by Mikel Arteta.
Everton seemed to relax after gaining the numeric advantage while Liverpool seemed to become better focused at their task.
Liverpool's Dirk Kuyt scored the game's only goal, heading from close range following Steven Gerrard's corner in the 55th minute.
The match was in its dying moments when Atkinson showed his second red card of the day, this time to Everton's Steven Pienaar.
What struck me about the match was how each team reacted to the watershed of Kyrgiakos' sending off. The depleted became stronger and won.