Does killing mice deter other mice?
The smell of dead mice repels them
Once they realize it, they'll start avoiding areas where they know you've rigged trap(s) up. Removing dead mice as soon as they've been caught and setting a new trap is one way to avoid this particular problem.
Do mice recognize other mice?
Mice recognize each other as distinct individuals using neurons in the dorsal hippocampus.
Can mice tell other mice about danger?
Mice, for example, excrete certain pheromones in their urine that communicate whether there's nearby food or a threat, as well as who's ready to mate and who's related to whom.
Will mice avoid traps if they see a dead mouse?
Aside from the traces of human smell, mice also detect the scent of a dead mouse on a reused trap. This repels them from even coming near the trap unless the bait is too enticing for them to take.