In: Economics
Suppose preferences for consumption and leisure are: u(c, l) = ln(c) + θ ln(l)
and households solve:
maxc,l u(c, l)
s.t. c=w(1−τ)(1−l)+T
Now suppose that in both Europe and the US we have:
θ = 1.54
w=1
but in the US we have:
τ = 0.34
T = 0.102
while in Europe we have:
τ = 0.53
T = 0.124
The values for τ and T above are not arbitrary. If you did the calculations correctly, you should find that both governments have balanced budgets (up to rounding error), i.e. the government collects τwh∗ and redistributes all the tax revenue back as transfers T. Check that this is the case. In other words, that tax revenue equals transfers in each country.