In the docks of Bordeaux a well-known homosexual was murdered. Police Inspector Michel Verta starts investigating, when he falls in love with Bernard, a handsome young musician. This not only threatens his family life but also his integrity, for he is married with a child and Bernard is one of the murder suspects.

In this whimsical fable, Resnais deftly interweaves three story lines: the creation of an early-20th-century utopia; romantic high jinks at a school conference; and a fantasy sparked by F/X pioneer Georges Méliès.

Prof. Henri Laborit uses the stories of the lives of three people to discuss behaviorist theories of survival, combat, rewards and punishment, and anxiety. René is a technical manager at a textile factory and must face the anxiety caused by corporate downsizing. Janine is a self-educated actress/stylist who learns that the wife of her lover is dying and must decide to let them reunite. Jean is a controversial career-climbing writer/politician at a crossroads in life.