One might be tempted to expect a similar result to apply to the more general two
sector model when only rent-seekers are the top earners. In fact, since the top earners
are all rent-seekers, rent-seeking imposes a negative externality, and the government has
a desire to redistribute from high-earners to low earners, this seems like a clear case for
high marginal tax rates on high earners, as discussed in the introduction. As Theorem 4
demonstrates, however, this intuition is not complete. The key reason is the additional
sectoral shift effect not present in a one sector economy: By lowering the marginal tax
rate on the top earning rent-seekers, total equivalent effort E increases and thus wages
in the rent-seeking sector fall. As a consequence, some agents now find it profitable to
leave the rent-seeking sector and become traditional workers. Since the traditional sector
is socially more productive, this shift is always welfare enhancing (S > 0)
This took me a fair while to grok. So I think the point is that a Pigovian tax rate[0] is what you'd expect with a rent seeking sector and a non-rent seeking sector (trying to minimize the negative externalities of rent-seeking).Now if we have nothing but rent seekers in the top income bracket and try and set their tax rate independently, you'd think that you should set it to the rate which is the value of the negative externalities that that sector produces, right?
The reason for the difference appears to be that in doing so, you make some of the people who would have been rent seekers switch from rent seekers to non-rent seeking behaviours, so to be pareto optimal, it "costs less" in taxes than the pigovian tax, because the logical thing decreases the "attractiveness" of being in the rent seeking sector, and the (logical) agents move to the socially benificial sector, thus producing an outsized effect of net good.
Is this right? can someone confirm whether I'm reading this correctly?
[EDIT] formatting