If he wins, it stops, unless he has other posibilities open.
However I have found that once they win one, they crap their pants since now you will have a revenge against them :).
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That is exactly what I said in "If you beat the other player when revenging him you can not longer use that revenge". This means that if you do not win a revenge you can continue to use that revenge until you win. In this case the player that you gave the revenge to can revenge you every day until he wins.
I get revenged by about 10 to 15 players every day. You just have to learn to leave with it.
I don't understand why you are so bothered if you keep winning. People normally revenge the top players to finish their assistant missions