Positive externalities, while Pareto efficient, are still market failures that undermine allocative efficiency because less of the good will be produced than would be optimal for society as a whole in a theoretical model with no government. If those externalities were internalized, the producer would be incentivized to produce more. Goods with positive externalities include education (believed to increase societal productivity and well-being, though some benefits are internalized in the form of higher wages), public health initiatives (which may reduce the health risks and costs for third parties for such things as transmittable diseases) and law enforcement.