GANGNEUNG, South Korea — It happens every four years. The United States and Canada play for Olympic gold in women’s hockey, and the game usually goes down to the wire.

This one did that and more. Jocelyne Lamoureux-Davidson scored the game-winning goal in a shootout on Thursday to give the United States a 3-2 victory against Canada, the four-time defending Olympic champion.

Down a goal with seven minutes to play, the United States got an equalizer from Lamoureux-Davidson’s sister, Monique Lamoureux-Morando, and matched Canada through overtime, even staving off a power play through the last 95 seconds.