Gaming system and method providing a group bonus event for linked gaming devices

A gaming system and method provides a competitive group bonus event for a plurality of players playing at linked gaming devices. Upon activation of the group bonus event, a first one of the players playing at one of the gaming devices can challenge one or more other players to participate in the group bonus event. Players who accept the challenge agree to compete for one or more awards associated with the group bonus event. The players play the primary games of their respective gaming devices independently of the group bonus event. The first player to trigger a bonus game on his or her gaming device wins the group bonus event and is provided with an award. The winner of the group bonus event additionally has the opportunity to play the triggered bonus game.