Efficient bargaining versus right to manage: a stability analysis in a Cournot duopoly with trade unions

The present study considers a unionised (nonlinear) duopoly with two different labour market institutions, i.e. efficient bargaining (EB) and right to manage (RTM), to analyse product market stability under quantity competition with trade unions. We show that when the preference of unions towards wages is small, (i) the parametric stability region under RTM is higher than under EB, and (ii) a rise in the union power in the Nash bargaining played between firms and unions monotonically increases (resp. reduces) the parametric stability region under RTM (resp. EB). In contrast, when the preference of unions becomes larger, an increase in the union’s bargaining power acts: (1) as an economic stabiliser when the union power is small; (2) as an economic de-stabiliser when the union power is high. In addition to established results with regard to equilibrium outcomes, our findings shed some light on the effects of how the labour market regulation affects out-of-equilibrium behaviours in a Cournot duopoly.