In the liner notes to the Region 2 DVD, director Norman Jewison is quoted as being influenced by Kubrick's A Clockwork Orange. The influence is most obviously seen in the repetitive use of zooms, classical music and modern (i.e. concrete and glass) architecture.
This was the first film to give full screen credits to the stunt performers. Normally their work would go uncredited, but the director was so impressed by their work, he felt moved to include their names in the closing credits. Ever since, stunt performers have received screen credit for their work.
The game sequences were filmed in the Olympic Basketball Arena in Munich. Munich citizens were invited to the filming to serve as spectators to the games. Norman Jewison intended the movie to be anti violence, but audiences so loved the action of the game that there was actually talk about forming rollerball leagues in the wake of the film which horrified him.
Outside shots of the Energy Corporation building are actually of the corporate headquarters of car maker BMW in Munich. Outside shots of the bowl-shaped library building are of the old BMW museum. It is located only a few steps to the left of the headquarters' entrance.
The shot sequence ahead of the New York game shows the Palácio da Alvorada as well as the Congresso Nacional in Brasília, Brazil, the Basilica of Saint Peter in the Vatican and Lower Manhattan, NY, USA.