We had a very bad problem with a neighbour. He would play Pussy Cat Dolls as loud as his stereo would blast and he was doing this to annoy us. It became a hugh problem because he was keeping our children awake at night and not only disturbing us but other around us. He is and was a very heavy drinker and when intoxicated we knew him to be dangerous. We called the police finally (one night when he was so drunk he could barely talk) and then we moved as we had planned as the house was only our starter home anyway. But the move was made quickly because even after the police had delt with him he continued the behaviour.
It is important to remember that the punishment must fit the crime. If your neighbour is only pestering then it maybe best to speak with him/her directly and let them know that they are disturbing you. They maybe totally unaware that their actions bother you. If the problem persists you may need to take deeper actions such as calling the authorities to help you with this matter.
Weigh your options carefully you do not want to upset anyone I am sure and would perfer a resonalble solution. Good Luck this is always a tricky one.