The welfare stare can be seen as an insurance device that makes lifeti
me careers safer, increases risk taking and suffers from moral hazard
effects. Adopting this view, the paper studies the trade-off between a
verage income and inequality, evaluating redistributive equilibria fro
m an allocative point of view. It examines the problem of optimal redi
stributive taxation with tax-induced risk taking and shows that consta
nt returns to risk taking are likely to imply a paradox where more red
istribution results in more post-tax inequality. In general, optimal t
axation will imply either that the redistribution paradox is present o
r that the economy operates at a point of its efficiency frontier wher
e more inequality implies a lower average income.