Productivity and wages in a task-based model In a task-based model like the one developed in Acemoglu&amp;Autor 2011 with two types of worker, can the low type have a higher wage with respect to the high type? 

More specifically: if the productivity of the "high type" is greater for each task in the economy, can we say that, regardless of the aggregate supply of labor, the equilibrium relationship is $w_h&gt;w_l$?

Thank you in advance for any help!
I guess you are referring to a situation in which abundand supply of high-skilled workers decrease productivity such that individual $w_h &lt; w_l$
Considering Equation (5) in Acemoglu &amp; Autor, $H$ and $L$ capture supply of both groups of workers. If $\frac{H}{L}$ becomes sufficiently high, I don't see why the relation between both wages should not become lower than 1.