Note on Lindahl Equilibria and the Core of an Economy with a Public Good

The relationship between Lindahl equilibria and the core of an economy with a public good is examined under the assumption that every coalition plays a non-cooperative game against its complementary coalition in sharing the cost for the public good. It is shown that the Lindahl equilibrium is contained in the core if and only if it is unblocked by any one-person coalition, and this is interpreted in terms of the free rider