We analyse the coordination problem in the labour market by endogenizing th
e matching function and the wage share. Each firm posts a wage to maximize
the expected profit, anticipating how the wage affects the expected number
of applicants. In equilibrium workers apply to firms with mixed strategies,
which generate coordination failure and persistent unemployment. We show h
ow the wage share, unemployment, and the welfare loss from the coordination
failure depend on the market tightness and the market size. The welfare lo
ss from the coordination failure is as high as 7.5 per cent of potential ou
tput. JEL Classification: C78, J64.