This paper incorporates the ideas that a union maximizes an intertempo
ral objective function, that it recognizes some link between present w
age and employment levels and future membership, and that it has an in
terest in the level of membership attained. We model membership decisi
ons with stochastic demand and a differential layoff rate for union an
d non-union workers. Membership dynamics are 'behavioural' in that mem
bership increases when the utility of being a member exceeds the utili
ty of not being a member. The model permits a variety of possible rela
tionships between employment and membership in the adjustment to stead
y state.