Elmer Fudd is a fictional hunter who tries to hunt Bugs Bunny . Elmer 's psychiatrist arrives , and thinking Fudd 's delusion has affected his appearance , drugs Bugs and conditions him into believing that he is Elmer Fudd ` after which Bugs starts wearing hunting clothes and acting like Elmer , hunting the rabbit-costumed Fudd , who is in turn acting like Bugs . Their hunt is cut short when Bugs is arrested , as Elmer Fudd is wanted for tax evasion .