Ivory Tower (2010) on Netflix

Hershell & Thadeus, two chess-playing brothers and their unhealthy rivalry over both the chessboard and a woman. Hershell is a chess purist, the prodigal son, Thadeus a disciplined, ruthless competitor. After 4 nomadic years in Europe, in quixotic pursuit of 'Jazz Chess' (chess for chess' sake, no winner, no loser, only beautiful positions), Hershell returns home. Thadeus is a successful but arrogant Canadian Chess Champion engaged to marry Marsha, Hershell's former sweetheart. Hershell challenges Thaddeus in the next Canadian Chess Championship. During the final match,Thadeus is flustered by Hershell's Zen-like demeanor, and sets himself up for certain defeat. But instead, Hershell uses the principle of Jazz Chess to force a draw. Marsha admires Hershell's selfless move, but leaves - she won't be either brothers' trophy.