In Variants to blue eyes puzzle we explored what would have happened if the oracle of the Blue Eyes puzzle had said something different with different numbers of islanders. I've got another one for you to ponder:
On this island there are 100 blue-eyed people, 50 brown-eyed people, 50 green-eyed people, and one hazel-eyed oracle. When the oracle speaks, she tells them
"I see more people with blue eyes than people with brown eyes."
Other than the difference in what the oracle says and the eye color distribution of the islanders, all the rules are the same as in the original puzzle.
Under these conditions, when will each group leave (if at all) and why?
Note: even though the oracle's statement is very similar to the one in variant 2, the solution is not the same.