Starting from a market monopolized by a two plant labour-managed (LM) firm, we consider alternative ways to reduce the inefficiencies associated with this market arrangement. The first possibility is the creation of a duopoly, in which a plant is turned into a LM firm, while the other one is either LM, or is managed to maximize profits. The second one is the negotiated creation of a "mixed firm", managed by workers and Government representatives. Its objective function reflects the different goals of its participants. Welfare comparisons purport the mixed duopoly as the preferable solution.