Final answer:
Shakespeare's shortest play, featuring mistaken identity between two sets of twins, is 'The Comedy of Errors'.
Step-by-step explanation:
The Shakespeare play that features a case of mistaken identity between two sets of twins, along with a heavy reliance on slapstick, puns, and wordplay, and is known to be his shortest is The Comedy of Errors. This play's title is three words long and fits well with the description provided. It is an early work by Shakespeare that reflects the comedic element through the chaos and confusion that arises from the doubles wandering a city unaware of each other's presence.