Claudius and Gertrude fret over Hamlet’s behavior, while Hamlet launches a plot to prove Claudius’s guilt.
Characters: 
Claudius

The King of Denmark is worried about Hamlet’s erratic behavior and sends his nephew's old friends, Rosencrantz and Guildenstern, to keep an eye on him.

Gertrude

The Queen of Denmark is worried about Hamlet’s erratic behavior and sends her son's old friends, Rosencrantz and Guildenstern, to keep an eye on him.

Rosencrantz

Hamlet’s childhood friend. Along with Guildenstern, he is ordered by the king and queen to spy on Hamlet.

Guildenstern

Hamlet’s childhood friend. Along with Rosencrantz, he is ordered by the king and queen to spy on Hamlet.

Polonius

Ophelia's father believes that his daughter is the cause of Hamlet’s apparent madness.

Voltemand

A Danish ambassador and courtier. He brings news about Fortinbras’s army.

Hamlet

The prince meets with a group of theatrical performers and eventually decides to use them to prove Claudius’s guilt.

First Player

The leader of a traveling theater troupe.

Players

A troupe of performers who arrive at Elsinore.

Scene Summary: 

Claudius and Gertrude are worried about Hamlet, who’s been acting crazy in court, so they dispatch Rosencrantz and Guildenstern to spy on him. Polonius arrives with the ambassador Voltemand in tow, both bearing good news. Voltemand tells Claudius that the King of Norway has put a stop to Prince Fortinbras’ threats, and Fortinbras has vowed not to attack Denmark. Polonius then tells Gertrude and Claudius that he thinks Hamlet’s behavior is due to his feelings for Ophelia. They hatch a plan to figure out what’s really going on: Polonius will send Ophelia to talk to the mad Hamlet and prove once and for all that he’s crazy with love. Hamlet then enters, mad as ever. Quickly realizing that Polonius, Rosencrantz, and Guildenstern are all secretly spying on him, he mocks them without their knowledge. Finally, some traveling players arrive and put on an impromptu performance. Watching the lead actor deliver a compelling monologue, Hamlet becomes sad that he, unlike the talented actor, can’t seem to summon any courage or passion when it comes to avenging his father’s death. He then hatches a plan: he’ll have the actors stage a play with a plot similar to the king’s murder. He’ll watch Claudius’s reaction to see if he seems guilty. Then Hamlet will know he can act.