Why do many restaurants hang deer heads with antlers?

In Europe, many castle directors like to cut off the heads of large animals (like deer) they hunt and hang them on the living room wall after processing to show off their bravery and hunting skills.

Just like many people in Japan have a fish extension at home (that is, after the owner catches a big fish, he draws ink on the fish, then spreads it on a piece of white paper, and then mounts the paper in the shape of a fish) to show the master's superb fishing skills.