Competitive buyer firm and workers monopoly:
Let us now analyse a situation in which the firm faces
perfect competition both in the product and labour markets; only
workers are organised in a union which acts like a monopolist
seller. In Fig. 4.7,
S
L
curve shows the marginal cost to the union of
supplying labour.
D
L
is the market demand for labour. This is the aggregate
VMP
L
curve derived from the summation of individual demand
curves. D
L
is also the average revenue curve for the workers'
union. From this is derived the marginal revenue (MR
s
) curve of
the union. The market wage rate will depend on the aim of the
union. Although the worker's union can persue several objectives,
we shall discuss only the following three:
1. Maximisation
of
employment
The
maximum
level
of
employment is defined by the intersection of the demanded supply
curve. This is point E in Fig. 4.7.
The workers union will thus
demand a wage equal to OW. The firms, being faced with perfect
competition both in the commodity and labour market, are price-
takers and not price-makers. They will accept OW wage rate and
maximise their profits by equating OW to the value of the marginal
product of labour, VMP
L
. Thus the total employment will be OL
and this is the maximum, which can be achieved.
2. Maximising total wage-bill. If the aim of the union is to maximise
the total wage bill, it must set the wage at the level at which the
marginal revenue to the union (MR,) is zero. In Fig.
4.7,
the
equilibrium of the union is at point E'. The union will set a wage
equal to OW and the level of employment will be OL'. Note that at
this level of employment, the marginal revenue to the union is
zero.
3. Maximising total gains to the union as a whole. In order to
maximise total gains to the union as a whole, the workers' union
should set the wage at that level where marginal revenue to the
union are equal. This is the point E" in Fig. 4.7.
The wage-rate will
be OW" and level of employment QL".
Are union members better off ?
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