Gaze can complement touch on surfaces for fast target selection and occlusion-free input. In this work, we look beyond single-user application of gaze and touch and explore how gaze can be leveraged for collaborative use. We present the design of a two-player shooter game in which targets are gaze-aware and able to react differently to attention by one of the players versus shared attention of both players. The game-play, evaluated in a study with 14 users, encourages users to adopt different strategies switching between individual and shared attention to achieve their collaborative goal.