Reindeer Games?

I'm working up my best Christmas songs list (I know it's late, but don't hate: Christmas lasts all week), and I realized there is a big debate that needs to be solved.

When singing Rudolph with the "add-ons," I always sang it like this:

All of the other reindeer (REINDEER)
Used to laugh and call him names (LIKE DUMBO)
They never let poor Rudolph (RUDOLPH)
Join in any reindeer games (LIKE FOOTBALL)

However, my sister sings the last line thusly:

...Join in any reindeer games (LIKE MONOPOLY)

So, I ask you, the Monkey Barn: which is it? Football or Monopoly?