An edit war typically occurs when editors who disagree about the content of a page repeatedly override each other's contributions. This, however, may never be seen on most wikis. This is why the “Create edit war” button should be added on all pages, in which an automated edit war goes on until the set ending date. For example, during an automated edit war, one user would say “This is a great edit!” while the other would say “This is better than yours!”. A sword-and-shield icon should be used as the button icon to represent the edit warring thing.
I don't see how an automated edit war would be at all productive. It would flood WikiActivity/RecentChanges, and – even if the editors had bot flags – nothing useful would come out of it in the end. Ultimately, it's quality of edits over quantity when making a well-done wiki, and edit-warring shows the opposite.