MRS Functions and the Pareto Interval in Public Good Provision

The Lindahl-Samuelson condition is adapted to derive the range, or interval, of the efficient/Pareto levels of a public good. The size and bounds of the interval are shown to be dependent on the curvature of the marginal rate of substitution functions and the degree of heterogeneity of preferences. A policy implication is that unlike Nash or private provision, the relationship between the efficient level of a public good and income inequality can be ambiguous.