An interesting side note: if you repeatedly click the first link at the beginning of any wikipedia article (except links in parenthesis) you will always end up at Philosophy.
But if the algorithm should ignore the already visited links then it would probably work because the pages usually describe something using the higher level concepts first. The question is how much larger the pool of "always found" pages becomes.
Test of n = 1: ("Random article") -> Yūyūki -> 1989 in video gaming -> Golden Joystick Awards -> Video game -> Electronic game -> Game -> Play (activity) -> Psychology -> Behavior -> American English -> Variety (linguistics) -> Sociolinguistics -> Society -> Social group -> Social science -> Discipline (academia) -> Knowledge -> Fact -> Verificationism -> Philosophy
An interesting side note: if you repeatedly click the first link at the beginning of any wikipedia article (except links in parenthesis) you will always end up at Philosophy.