Now, as far as it being the highest dps build in the game, its kinda true and kinda debatable, I do not have the exact math on it.
The idea is to use the recharger pistol to spam shots in VATS to trigger the Mysterious Stranger and Miss Fortune.
The Mysterious Stranger is not your Fallout3 Mysterious Stranger. He will show up 10% (20% after use perk) of the time in vats like miss fortune, and kill his target.
The Mysterious Stranger will show up 20% of the time in VATS and spam 18,000 damage on the 1 target.
Miss Fortune will show up 20%of the time in VATS and cripple / kill / knock down the target. She will do this to large groups as well when she shows up.
So you end up with like a 36% or so chance that one of them will show up per VATS shot. Kinda like doing a better paralyzing palm at range.
So the idea is to spam the recharger pistol 1 shot in VATS over and over, and the highest dps comes from the mysterious stranger doing like over 100,000 damage... lol. (ya ya, I know)
Very little is needed for this build.
You will want: 10 agility, math wrath, fast shot, nerves of steel, mysterious stranger, miss fortune, and the recharger pistol. That is all you really need.
Not sure how AP is rounded, but, you should be able to fire 1 shot in VATS about every 1.4 seconds, after you run out of AP. The recharger pistol recharges once per second. So you can pretty much spam it forever and walk backwards on large groups of targets and be fine.
The build needs very little, so you can just give whatever build you are playing the stuff it needs to play this build as well.
I am running a Chemist unarmed build with Rad Child, so I can use rebound for more action point regeneration... and turbo.
Hitting the target does not really matter, you just wanna fire 1 shot at it, so energy weapons skill is not really needed.
Mysterious Stranger takes you exp and does not give credit for the kill, so it is not good to use early on if you wanna kill for a lot of your exp.
The Mysterious Stranger does not give you credit for the kill, so if you want someone dead, anyone, just fire shots at 1% at them until he shows up. No one will care and you can loot them.