An argument in which one person clearly has won, but the other person still gets their way.
John: "This sucks. I got in an argument with my little brother today, now I have to pay for his XBox Live."
Dave: "No way, you could totally win an argument with Jake!"
John: "I won, but it was a Parent Argument. He got on his back and started bawling, so my parents butted in. Now I don't have any extra money!"