Fig. 2From: Devolution and grant-in-aid design for the provision of impure public goodsDependence on k of the welfare losses in centralisation and devolution for \(z=\bar{z}\) for different values of \(\theta\). For \(\theta =\theta _{m}\) the welfare losses in \(k=1\) are equal. a \(\theta =1\), b \(1 < \theta < \theta _{m}\), c \(\theta = \theta _{m}\), d \(\theta > \theta _{m}\) Back to article page