[whatshisface]

"The Union," as an entity, has power over the workers in many of the same ways that corporations do (especially the power of coordination). You'd need a union-union so that workers could bargain collectively with the union leadership. For N people employed by a corporation, you could have N groups: One containing all N (the corporation), one containing N-1 (the union, whose membership consists of all but the CEO), one containing N-2 (the union union, whose membership consists of all but the CEO and the top union leader), and so on all the way down to the N-(N-1)th subunion which consists only of the intern.

Now, there may be more than one equal among the top corporate leadership, and there might be more than one equal in the top union leadership. So, instead of having to have N unions, you could have N/m where m is the number of voting equals at the top of each level of the hierarchy.

This is not entirely facetious, many democratic countries essentially work like this. For example, Americans have a county legislature, a state legislature, and a federal legislature, and to some extent (a greater extent early in the country's history), they perform this sort of nested bargaining.