Pee-wee often claimed the Playhouse and everything in it to be all his, and he often played the role of an authority figure to prove his point during various games—becoming power-drunk and exaggerating the role he was playing to an extreme scale (as a judge, a boss, and a librarian, to name a few). During these games, he gave everyone else the "lesser" positions in each game (such as readers/customers in his library, or passengers and crew members on his airliner), and treated them in a very abusive manner—pretty much like slaves. The tables were eventually turned once and for all in the final episode, when Miss Yvonne finally snapped and said "How could you even think of selling the Playhouse without first consulting us?! It belongs to all of us! You just remember that, Pee-wee, it's all our Playhouse!"
Additionally, when he didn't get his way, he would whine and cry like a two-year-old, leading to a more mature character (like Reba or Miss Yvonne) to scold and reprimand him.