A parody is a vulgar, exaggerated, or comic imitation of another work known to the public, through which the original work is ridiculed, even by small references to it. Broadly speaking, a parody is a sub-form of a satire: the story (the text or the image) is imitated in an ironic way. This can happen in a harmless as well as a corrosive way. The success of the parody will be greater the more famous the original and the parodied (magnified) elements are therefore more recognizable.
Although no wager has been made, the potential for conflict occurs because the protagonist and antagonist still don't agree on how devastating solitary confinement would be.