Real Dictionary

budge
verb: If someone or something will not budge, they will not move. If you cannot budge them, you cannot make them move.
verb: If someone will not budge on a matter, or if nothing budges them, they refuse to change their mind or to come to an agreement.

budge in American English 1
to move even a little
intransitive verb: to move slightly; begin to move
transitive verb: to cause to move; begin to move

budge in American English 2
lambskin dressed so that the wool is worn outward, esp. as a trimming on academic gowns of the past
solemn or pompous
adjective: made from, trimmed, or lined with budge
noun: a fur made from lambskin with the wool dressed outward, used esp. as an inexpensive trimming on academic or official gowns

Budge in British English
noun: Don(ald). 1915–2000, US tennis player, the first man to win the Grand Slam of singles championships (Australia, France, Wimbledon, and the US) in one year (1938)

budge in British English 1
to move, however slightly

budge in British English 2
noun: a lambskin dressed for the fur to be worn on the outer side