I recently came across two interesting discussions of authority. The first is an article by Msgr. Charles Pope titled If No One is Pope, Everyone is Pope. The fundamental question addressed is: who speaks for Christ?
The second discussion is from Fr. Robert Barron of Wordonfirevideo. I discovered this video a couple weeks ago, and Msgr. Pope includes it at the bottom of his article. I'm attaching it here for convenience. It is worth viewing, especially for his umpire analogy.