This paper studies the provision of, and demand for, a public service
when a private alternative is available. We link the concept of adequa
te resources for a public service to the availability of a private alt
ernative, rather than to the public service's ability to meet total de
mand. We also consider a situation where only part of the population h
as access to the state service (as is, for instance, the case with sub
sidised housing) and formalize the concept of the poverty trap, which
occurs when access to the public service is of an all or nothing type.