(Book) Frodo in fact gives the ring up voluntarily not once, but twice. Once to Gandalf (who chucks it in the fire), then a second time to Tom Bombadil (who puts it on and fails to disappear). Of course, he also offers to give it away both at the council and to Galadriel, but since he isn't asked to do so it's impossible to tell how easy he would find it to go through with.
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(Book) Frodo in fact gives the ring up voluntarily not once, but twice. Once to Gandalf (who chucks it in the fire), then a second time to Tom Bombadil (who puts it on and fails to disappear). Of course, he also offers to give it away both at the council and to Galadriel, but since he isn't asked to do so it's impossible to tell how easy he would find it to go through with.