Per-capita public expenditures and population size: A non-parametric analysis using French data

Based on the median voter model, we specify a flexible general framework of the effect of municipality size on per-capita public expenditures. Previous literature has recognized that municipality size should have a non-linear effect on the quality of public goods provision and to this end different papers have applied a range of alternative parametric specifications. Using a very large sample of French "communes" we are able to estimate the effect of municipality size semi-parametrically. In contrast with the parametric specifications, we find evidence of the U-shaped relationship between per-capita public expenditures and population which is predicted by theory.