A paper tiger is someone who at first glance seems to be in charge but who, on closer examination, is completely powerless.
A paper tiger gives the impression of being powerful — perhaps he is a king or a high school principal — but lacks any real power. This phrase comes from an old Chinese idiom, which describes a paper tiger as a "blustering, harmless fellow," and which was popularized when Mao Zedong was quoted in 1956 calling the United States a paper tiger. The idiom makes sense when you think of how terrifying a real tiger is — and how harmless a paper version would be.