Edit warring is bad, especially when idea exchange has stopped and is replaced by reverting edits. Not good, as it disrupts Wikipedia and wastes resources. Wikipedia's main resource is the time and effort that you and other Wikipedians devote to contributions. Edit warring is like a game of tic-tac-toe: once you know how to play, nobody ever wins. Edit warring is worse, though, because it can go on indefinitely and can get you banned.

The solution? Chill out and relax. Go edit somewhere else on Wikipedia for a few days; Wikipedia has millions of nice and quiet pages to work on. Meanwhile, you may think of a solution that everyone will be happy with which you can bring to the talk page. When you come back, stay calm and keep your involvement in the dispute on the talk page. Others who refuse to do so will answer for it eventually.

Building consensus is the Wikipedia way of resolving disputes, as continued discussion brings new possibilities and positive solutions to light. Think "What if we..."