As a defense mechanism against over fatigue and overwork, Martians appear double when they're tired, which Martin is. When he goes to sleep, his double materializes and has a great time in the old adage "all work and no play...", the double being Martin's "play" half. His double is a womanizer named Pierre. When Martin realizes what is happening, it is too late: Pierre is engaged to a woman, Flossie, with a thuggish brother who will hurt Martin/Pierre if Pierre hurts Flossie. So how can Martin stop Pierre from marrying Flossie without anyone getting hurt, physically or emotionally.
—Huggo