Does endogenous formation of jurisdictions lead to wealth-stratification?

Conditions under which endogenous processes of jurisdiction formation entail wealth-stratification are examined in a model where unequally wealthy households with identical preferences form jurisdictions in order to produce a public good financed by proportional taxation. We define a stable jurisdiction structure to be a partition of the households into jurisdictions that is immune to individual deviations. We define a jurisdiction structure to be wealth-stratified when each jurisdiction is composed of households who form an interval with respect to the ordering of their wealth. We show that a necessary and sufficient condition for the stratification of any stable jurisdiction structure is for the individual preferences for the public and the private good to exhibit a relation of gross substitutability/complementarity between the public good and the private good that is independent from prices and wealth.