In a model of strategic R&D competition between two firms that negotiate wi
th independent unions we show that: (i) incomplete labour market contracts
may Pareto-dominate complete labour market contracts; (ii) even when comple
te contracts Pareto-dominate incomplete contracts, economies can get stuck
in the incomplete contract equilibrium. These conclusions provide additiona
l strategic reasons why complete labour market contracts may not be used-ev
en if they were feasible. We propose two testable predictions to discrimina
te between complete and incomplete contracts: (i) the variance of wages is
lower with complete contracts; (ii) the variance of employment is higher un
der complete contracts.