Pincer movements (double envelopment) seem to be a ubiquitous and effective theme throughout (what I know of) military history.
Since the idea is far from new, it seems to me like you'd find both sides of a conflict always trying to use this tactic on one another. If so, I would expect that sometimes one side would begin earlier and execute it effectively on the other side - but are there also cases of 2 roughly equal forces both attempting a Pincer movement on each other roughly simultaneously?
If so, what are some examples and how does it usually play out?