Let's say you live in a house and have a neighbor who is a nuisance. The neighbor does various illegal things on a regular basis (car is extremely noisy above and beyond what is allowed in the law, loud music in the middle of the night that can be heard from the inside of neighbors homes, pool on roof seemingly without sanitation controls, burning trash on the sidewalk, etc, etc).
Basically, a neighbor who all the other neighbors despise, but no one does anything because the nuisance neighbor would probably only increase his disrespectful behavior.
I was discussing the issue with a friend, and I suggested that since police enforcement is very weak in the neighborhood, if it would be a possibility to just put a price on the "job of enforcing the law". Essentially, you walk up to a random police officer and say: "I'll give you 10k USD to do your job. That is, to go to this particular place, and observe the infractions occurring due to this nuisance neighbor, and do whatever the law prescribes you to do when you catch someone doing something illegal".
Is offering the officer 10k to "do his job" an illegal act?
Is this conceptually equivalent to offering an officer money to not do his job (a bribe)?
Is offering the officer the money to perform his job considered a bribe?
As another example. If your house is being robbed this very instant, and you know it, is it illegal to go to a police officer and say: "my house is being robbed, I'll pay you 10k USD to go to my house and do your job"?
Is it immoral or unethical from either party (the payer or the police officer taking the payment)?