Effects of group goal on allocation decisions have previously been studied in symmetric public good dilemmas. With the aim of generalizing the results to asymmetric public good dilemmas where differences in individual needs are more salient, seventy-two undergraduates participating in a one-shot public good dilemma were asked to distribute the good in order to achieve different group goals. As expected, when the group goal was economic productivity, allocations corresponded more to equity, when the group goal was harmony, allocations corresponded more to equality, and when the group goal was social concern, allocations corresponded more to need. The results support the assumption that salience of group goal minimizes the effects of greed on allocations, and that perceived fairness explains why people pursuing a certain group goal tend to prefer a specific allocation strategy in distributing public goods.