Does the neighbour putting the rubbish in the bin stop you from using the same bin to put rubbish in ??? Are you charged by the Kilo for Rubbish disposal?
How can people be so territorial about, in this case literally, rubbish?
I think it will only become more common as councils start to become a bit more picky with collections.
We have been told that if a certain type of bin is "contaminated" with waste that should be in a different bin they will NOT pick up that bin for collection and the owner will need to make their own arrangements to clear the waste. As well if the bin is overflowing the council will not pick it up, they won't even pick up that extra bag next to the side of the bin... It has to be in the bin.
If some one was putting stuff in my bin and that resulted in my rubbish not being removed then I would be annoyed. I don;t know if this is the case for the OP but I think this type of "war" between neighbours will only become more common.