Spatial provision of local public goods with spillover effects

Most of the works dealing with local public goods are aspatial in their treatment since they consider only the case of a pure local public good; such works do not address the problem of where the good is to be supplied. In this paper, an initial attempt to treat the distribution of an impure local public good as a choice function is made within the framework of optimum urban land use. The distance-decay nature of spillover effects inherent in an impure local public good is explicitly considered by adopting a negative exponential function. To highlight the spatial aspect of an impure local public good, a two-supply-site problem with a log-linear utility function is formulated to determine the optimal supply sites. It is shown that if the weight of the utility function on the public service is greater than or equal to that on land, then the local public good is exclusively supplied at the center. Otherwise, separate supply sites can be optimal.