If purple nutsedge establishes itself in small spots of bare earth where
there was no grass (for example, where a veggie garden used to be), how
does this nutsedge fare against surrounding zoysia grass when the two
meet? Which will win out over time?

In other words, will the purple nutsedge invade the surrounding zoysia
and defeat the zoysia, or will the Meyer Zoysia grow into, strangle, and
eventually eliminate the purple nutsedge?

That purple nutsedge is one tough weed, I fear. I've been pulling out its
blades, but of course, folks here know it has underground tubers that
remain in the ground unless dug up, and I haven't dug the tubers out
because I don't want to harm the surrounding zoysia, so I'm just removing
the blades and occasionally small parts of the sedge's rhizomes. But they
say, this perennial weed's blades will just re-grow, so you'll have to
pull out the blades 3 to 5 times before the tubers finally succumb and
die. That's also what I've been doing with the dandelions in my side
yard--repulling the blades everytime I see renewed blade growth.

But my question concerns unmolested Purple Nutsedge whose blades are left
in tact, and not messed with. Over time, will healthy Purple Nutsedge win
out over healthy ZoysiaGrass, or will the Zoysia win?