Buckaroo
Graduate Poster
Actually, this would essentially never be the case. The quantum differences are worlds where each quantum "measurement" or interaction that "collapses the wave function" turn out differently... ...But there would be no "quantum moment" to help you decide, or not, to ride the mountain bike out the back of the C130 cargo plane with a can of Mountain Dew in your hand. Oh, it might be theoretically possible that, say, a particular subatomic particle in your brain might, at that exact moment, disintegrate, causing electro-chemistry to alter slightly, reversing a decision if you were on the ragged edge of deciding, but that's a very contrived situation that statistically probably would never happen.
I don't think the split need necessarily happen at the point of the decision for this question to come into play. Let's say you were playing a Schrodinger's variety of Russian roulette, where the gun going off depended on the decay of a single atom of a sufficiently short-half-lived radioactive isotope. In this case, the split would happen not when you decided to play, but when the gun did, or did not, go off, which could be a substantial amount of time later. Isn't the basic point still valid?
It's also been suggested that having the entire universe split into quadrillions of copies every single microscopic instant of time, for every single of the 10^^60 particles in the universe (and every one of the far greater number of clones, remember!) would be the ultimate violation of Occam's Razor.
Max Tegmark has a pretty good rebuttal of this objection (one which has also bothered me about the MWH) here, on pg 24:
http://space.mit.edu/home/tegmark/toe.pdf
Whatever your take on Many Worlds, it's a fun article!