I'm having trouble with the Rybczynski theorem. Let's say there's a migration to the domestic economy, increasing the Labor endowment. It states that the production of the good that uses labor more intensely will increase and the other one will decrease (which makes a lot of sense). However, it also states that the relative prices (both for goods and factor remuneration) will keep constant.
This doesn't make sense for me because when I solve for the equilibrium, the relative prices do depends on the relative scarceness of production factor. If I change this, it should go to a whole new equilibrium, shouldn't it?