We develop a theoretical analysis of the impact of imperfect targeting
, participation costs and incomplete take-up upon the level of progres
sivity, vertical equity, horizontal inequity and redistribution exerte
d by state benefits. An illustration using the distribution of British
Supplementary Benefits (now Income Support) indicates that progressiv
ity is roughly untouched, vertical equity and horizontal inequity are
increased, and total income redistribution is slightly increased by th
ese redistributive imperfections in 1985 Britain.