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Table 4 Local subsidy in case of devolution with a matching grant

From: Devolution and grant-in-aid design for the provision of impure public goods

LG behaviour

Actual local subsidy

Subsidy estimated by CG

FC

\(\theta z_j (1+k)-p(1-\rho _{j})\)

\(\theta z (1+k)-p(1-\rho _{j})\)

PC

\(z_j \theta -p\frac{1-\rho _{j}}{2}\)

\(z \theta -p\frac{1-\rho _{j}}{2}\)

FR

\(z_j \theta\)

\(z \theta\)