Why did Haye run against Valuev?

Because it was his plan all along. Not me saying so, Mr Booth post fight in a video interview on the Scene of Boxing.
In it he clearly states they'd noticed that the more punches you threw at Valuev the more that you got hit, so the plan all along was to win throwing as few punches as possible.

That was post fight, no broken hand excuse at all. A swollen hand he may have had, but the plan was simply as stated.

 

Why did Wlad run from Valuev his entire career?

 

Valuev turned down an offer to fight Wlad....stop spewing your crap.

 

I actually start suffering from headaches just imagining you might be real.

 

:rofl