(Non-)Existence of Equilibria in Multicommunity Models

This paper reconsiders equilibrium existence in models with migration and voting over local public goods. We show that under some straightforward assumptions on preferences and income distributions, the basic structure of multicommunity models (i.e., perfect mobility, majority rule, single crossing property) implies that no equilibrium with jurisdictions conducting different policies can exist. Stratification equilibria—with sorting of the population according to income classes—are therefore not as natural as is sometimes suggested. Mechanisms that can serve to support stratification (i.e., tight housing markets, returns to scale in the provision of publicly consumed goods) are discussed.