I hardly ever pvp'd in DS (mainly 'cause I didn't want to be bothered) but the handful of times I've been invaded, I just hid and either;
A. Magically got back stabbed once we finally did engage
B. Equip a +5 Chaos Great Scythe along with pyromancy to keep them at bay whilst attacking them from afar. Invader is kill
Or
C. Hide until they leave
One time I was in the Duke's archs and some guy took about 25 minutes to find me and when he did I hit him twice then we both backed up, he dropped some items then left. He then sent me a message saying "props for being so clever, I left you a gift." (which was some humanity and souls).
English
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Well you could have always went offline (or jus go into a party and be forced to play in offline mode). Also I've had encounters like that before. I repeatedly dueled this one guy and he gave me a bunch of repair powder and a few fully upgraded weapons.