Contrapasso and Self-Defeating Traps in Hamlet

In class we have mentioned how many of the traps in Hamlet set by different characters end up hurting the people who try to set them. Examples include Polonius hiding behind the curtains, Rosencrantz and Guildenstern carrying the letter meant to kill Hamlet but actually ordering their own execution, and, of course, Claudius' plan to finally kill Hamlet that leads to his own death. While not exactly the same, I think this recurring turn of events resembles in some ways contrapasso in Inferno. In Inferno, the punishment for sin is the sin itself, which makes it symbolically appropriate and somehow satisfying. Similarly, the traps that the characters in Hamlet lay for others end up hurting themselves. I think it's interesting because in both cases this is used because it is somehow satisfying to the reader. The introduction to Hamlet discusses how we want Hamlet to avenge his father, but we want him to do it in an appropriate and fitting way that feels right. Claudius setting the trap that ends up causing his death certainly qualifies and resolves the play in a sort of satisfying way (aside from the fact that Hamlet and most of the other characters, even the ones we sympathize with, are dead). For some reason, it seems like a natural human tendency to appreciate the irony of someone being punished for their sins with the result of the sin itself. We want to see the downfall of Claudius since he is evil and selfish, but him causing his own death makes the downfall that much sweeter.