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Tie in PvP
Don't know if this is known or not, but I had a tie doing PvP last night. We were both down to our final pokemon (Mewtwo), I hit him with a SB, knocking him almost to zero, and then we both resumed our Psycho Cutting, and both pokemon did the KO fade away at the same time. We both got the "Good Job" message, neither of us won.
So ties are possible, and don't count as wins. Not sure if this is well known, putting it out there.