Global ineq is the product of 3 forces:
(A) changes in within-national ineq,
(B) convergence/divergence of mean county incomes,
and
(C) population changes.
Let's look at each of them.
Convergence is studied in growth economics. But not the same one about which we care in global ineq.
What matters for global ineq is population-weighted convergence (Concept 2): whether poor and *populous* countries are catching up.
So (B) can be a topic of IPE: more specifically how can growth rates of poor & *populous* countries be raised.
It can be framed in Ehrlich's terms (birth control in poor countries) or in terms of migration. The former is a non-starter; so economic migration from poor to rich countries remains.
--growth of poor & populous counties
--economic migration.
-- Migration: if 60% of your income is determined by where you live, high inter-country inequality clearly produces strong incentives for migration.
-- Fiscal evasion and movement of funds between different jurisdictions (to the extent that it is motivated by unequal development).