Something which I've learnt through experiences on two wheels is to not try and outdodge a pedestrian if s/he's aware of you when you're bearing down on them (unless they're pissed).
Today going round the huge roundabout outside Buckingham Palace (always horrible and slippery - yesterday I saw a despatch rider who'd come off there (sheltered by police vans in the middle of the roundabout while the medics checked him over).), anyway, today a dopey young man started slowly sauntering across it from the palace to the middle of the roundabout as if he was out for a promenade, his eyes on the island in the middle. (what was he thinking? "I can't see you, therefore you don't exist"?!!?) I was doing about 20 (that despatch rider coming a cropper having had its effect on me) and was being predictable. "What the fuck?!" I thought as dopey began to cross the busy road, "Surely he *must* have looked!" He hadn't but an instant later he did, and he began the Panic Dance, which involves the ped leaping from side to side trying to entice you to the same side as him/her. Me, I've come to realise that a healthy young ped like that can shift from side to side better than you as a two wheeler, so you have to be predictable and not change your line - just slow down so that you give them more time and so that if you crunch into them, things are relatively ok. (Oh, except when they're pissed, (which is likely on Friday and Saturday eves especially). If they're likely to be pissed and walking across the road, you are better off trying to change direction. I managed to hospitalise some poor pissed fool when on my pedal bike once, crunching into him at about 3mph - pissed people don't protect themselves too well when they fall down). Anyway, the lemmingped managed to leap out of the way in time due to: me traveling slowly in the first place; slowing down when I realised he was a lemmingped and, importantly; being predictable as I was bearing down on him (peds assume you're a mindless machine and don't expect you to change your direction).
`I quite agree with you,' said the Duchess; `and the moral of that is--"Be what you would seem to be"--or if you'd like it put more simply--"Never imagine yourself not to be otherwise than what it might appear to others that what you were or might have been was not otherwise than what you had been would have appeared to them to be otherwise."'
(- Alice in Wonderland)
This should be in the highway code: "In the case of impending collision between a vehicle and a pedestrian the vehicle should brake in a straight line and the pedestrian should move out of the way."
And not being able to quote it should fail you the examination for the pedestrian licence. If you haven't got a pedestrian licence (or have lost it through drunk-walking or whatever) then you can only cross roads if someone with a ped licence holds your hand.