This isn't a need: miners will contribute to the highest work braid/chain simply because that is the one most likely to have other people contribute to it. No extra incentive is needed. If there exist two childless beads (blocks), it's in my best interest to name them both as parents. That generates a higher work braid. Naming only one of them creates a lower work braid.
This is not that simple, as Selfish Mining paper showed, a more sophisticated strategy may be more profitable.