Monaghan has starred in the "Lord of the Rings" trilogy and the TV series "Lost," while Rodriguez was a former ensemble player on "Six Feet Under" who has since been seen in the movies "Grindhouse," "Lady in the Water" and "Bottle Shock."

The Hollywood Reporter said "Fortuna" is set in 2100 and focuses on an Earth where "a collapsed economy and climate crises have eliminated the middle class, leaving a few very wealthy and the teeming masses in severe poverty."

The elite offer as a solution "Fortuna," a mysterious game in which one in 1,000 people win a prize enabling him or her to join the upper class; however, the challenge comes with some risk since contestants are never again seen by the general population.

Grossmann is expected to begin his six-week shoot Nov. 10 in Sofia, Bulgaria, the entertainment industry trade newspaper said.