Ĉon Flux is set in a bizarre, dystopian future world. The title character is a tall, bondage gear-clad secret agent from the nation of Monica, skilled in assassination and acrobatics. Her mission is to infiltrate the strongholds of the neighboring country of Bregna, which is led by her sometimes-nemesis and sometimes-lover Trevor Goodchild. Monica apparently represents a dynamic anarchist society, while Bregna embodies a centralized, scientifically planned state - referred to on one occasion as a republic by Goodchild. The names of their respective characters reflect this: Flux as the self-directed agent from Monica and Goodchild as the technocratic leader of Bregna. Although Bregna is shown to be repressive, in the first full-length episode: "Utopia or Deuteronopia?", Clavius, the president deposed by Goodchild, is described by a questioning journalist as having been democratically elected. In the same episode, an upper house of parliament is also mentioned by the character Gildemere.