2 x 50w or 1 x 100w?
Depends on how the panels are made and how many bypass diodes in each panel. Everything else being equal, more bypass diodes is better, so if the 50w each have 2 bypass diodes, then you get a total of 4 and shade causing a single bypass will cut out 25w, wheras if the 100w panel is made with 2 bypass diodes you get a total of 2 and shade causing a single bypass will cut out 50w.
But it also depends on panel voltage and how you rig the panels.
Two 18v 50w, each with 2 bypass diodes, rigged in series and fed through an MPPT controller will have better shade tolerance than a single 18v 100w with 2 bypass diodes, or the two 50s in parallel.
With the 2 18v 50s in series, you get 36v. Shade causing a single bypass drops that to 27v. A 25% loss in power output, but still a high enough voltage to charge a 12v battery. A second bypass and the voltage drops to 18v. A 50% loss in power output, but still a high enough voltage to charge a 12v battery. A third bypass and the voltage drops to 9v, and since that is too low to charge a 12v battery, you've just effectively achieved a 100% loss in power output.
With a single 18v 100w panel with two bypass diodes, shade causing a single bypass drops the voltage to 9v and you've hit 100% loss in power output.
With the two 50s rigged in parallel, a single bypass will drop that one panel to 9v, so a 100% loss in power from that panel, but the second panel still has a high enough voltage, so it's only a 50% loss for the array. A second bypass on that same panel would be irrelevant, but if the second bypass happened on the other panel, then both panels would be at 9v, which would be a 100% loss from the array.
So...
(assuming two bypass diodes per panel)
2 x 50w in series takes three bypasses to hit 100% loss
2 x 50w in parallel takes two bypasses (one on each panel) to hit 100% loss
1 x 100w takes one bypass to hit 100% loss