Collocations for badge - noun

name
police (esp. AmE)
merit (esp. AmE)
cap (BrE)
blazer, lapel (both BrE)
button (BrE)

wear
display, flash, pull out (esp. AmE)
The police officer flashed his badge.

earn (esp. AmE)
Gates earns a merit badge for his ideas on surviving the recession. (figurative)

holder (= an object for holding a badge)
holder (= a person who has a badge)
parking for disabled badge holders

a badge of honour/honor (figurative)
His scars are badges of honour/honor.

a badge of office (esp. BrE)
His badge of office, a large gold key, hung around his neck.