Arnold Schwarzenegger hasn't announced whether he's running for governor of California -- but if he does, he could be the first candidate with his own video game.

The action star, who returns to movie theaters this July as the in destructible cyborg in "Terminator 3: Rise of the Machines," will serve as the centerpiece in a new video game from the Franco-American company Infogrames Inc., Reuters reports.

But unlike previous "Terminator" games, which were not licensed to feature Arnold, 55, this new one will include both his voice and his likeness. Players can be him, or another character.

Included in the game will be a five-minute segment shot specifically by "Terminator 3" director Jonathan Mostow. It will include details on the Terminator's history and feature film clips taken directly from the movie.

Infogrames is no stranger to movie-game tie-ins. On May 15, the company is due to release its game "Enter the Matrix," which arrives the same day as the film "The Matrix Reloaded," starring Keanu Reeves.

The Wachowski brothers, writers and directors of the "Matrix" movies, specifically wrote the game and directed hours of film footage for it.