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[This question refers to the major revisions made to the Gollum chapter, Riddles in the Dark, not to the multitude of minor changes made elsewhere.] In the original 1937 edition of The Hobbit Gollum was genuinely willing to bet his ring on the riddle game, the deal being that Bilbo would receive a present if he won. Gollum in fact was dismayed when he couldn't keep his promise because the ring was missing.
The term Ring-bearer is used in The Lord of the Rings to describe a person who has possessed the One Ring. The term is also used to refer to bearers of other Rings of Power. In The Lord of the Rings, Frodo Baggins was appointed Ring-bearer by the Council of Elrond in Rivendell.