“Unless you’d like to explain what laws apply directly to a bear.”
Not being humans, bears don’t have rights but law could be said to “apply” to them in that the conditions of their existence are effected by the laws that relate to them. Laws like the ones that say they can only be killed in a limited number of circumstances, or laws that say they can’t be purposely harassed, for instance. Bears that attack people are specifically hunted and killed by government employees, bears that come into town are shot with tranquilizer darts, again by government employees. Both these things seem like they “broke a law” but just don’t have the right to a trial, etc. They have the right to bear arms, but that is a separate matter.
Regarding the deer: It’s not the bear would have legal recourse if someone stole his deer carcass. But if you stole the deer carcass from this bear, would it be legally yours? In Colorado you can get a permit to keep a deer you hit with your car but I doubt there is a process to be able to keep a deer you stole from a bear. So, he is allowed to have the deer carcass and you are not. That’s kind of like he owns it.
“Bears that attack people are specifically hunted and killed by government employees, bears that come into town are shot with tranquilizer darts, again by government employees.”
That is just part of the government’s push to establish a monopoly on the use of force—never a good thing.
FYI, A bear in your back yard killing a deer is, by definition, a danger to both you and your family. If successful, the best will consider it a safe place to hunt. So, you kill it. That’s called self-defense. Period.