Rosencrantz
The more passive of the two. He accepts confusion without much distress, which makes him oddly cheerful and oddly tragic at the same time. He tends to notice small, concrete things while Guildenstern theorizes. He disappears first, and with the least ceremony.
Guildenstern
The thinker. He tries to reason through everything, from the coin flips to the nature of death. His intelligence doesn't help him. Every logical framework he builds falls apart. He's more aware of their situation than Rosencrantz, which makes his helplessness more painful to watch.
The Player
The leader of the traveling theater troupe. He's the only character who seems to understand how the story works. He treats death and suffering as performance, which makes him both funny and deeply unsettling. He functions as a dark mirror for the two leads: he knows the rules they can't figure out.
Hamlet
Appears in fragments, mostly as Shakespeare wrote him. He's clever, evasive, and completely uninterested in helping Rosencrantz and Guildenstern understand their situation. His scenes with them show how little power they have, even in their own play.
Claudius and Gertrude
They appear briefly to assign Rosencrantz and Guildenstern their task. They treat the two men as tools, not people. Their indifference to the pair as individuals reinforces the play's argument about what it means to be expendable.