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An Analysis on Danish Micro Data - School of Economics and ...

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therefore she will change her compositi<strong>on</strong> <strong>of</strong> goods purchased. Similarly in labour supply theory, a<br />

wage increase (or decrease) can influence the labour supply both through the substituti<strong>on</strong> effect <strong>and</strong><br />

the income effect.<br />

The substituti<strong>on</strong> effect has so far included the good’s own substituti<strong>on</strong> effect, which takes into<br />

account the effect <strong>on</strong> the dem<strong>and</strong> curve <strong>of</strong> the good, when the price changes. But the substituti<strong>on</strong><br />

terms can be exp<strong>and</strong>ed to the cross-substituti<strong>on</strong> effect. The cross-substituti<strong>on</strong> effect takes into<br />

account the effect <strong>on</strong> the dem<strong>and</strong> curve <strong>of</strong> the good, when the price <strong>of</strong> another good changes.<br />

Applied to labour supply theory this means that a wage change affects the supply <strong>of</strong> labour, but also<br />

the dem<strong>and</strong> <strong>of</strong> goods.<br />

Although simplistic <strong>and</strong> seemingly far from reality the static model <strong>of</strong> labour supply gives a good<br />

impressi<strong>on</strong> <strong>of</strong> the choice an individual faces when deciding up<strong>on</strong> participati<strong>on</strong> in the labour market.<br />

Corresp<strong>on</strong>dingly to c<strong>on</strong>sumer dem<strong>and</strong> theory, the individual maximizes his utility subject to some<br />

restraints. The supply <strong>of</strong> labour can also be modelled by a dynamic model. I will not go deeper into<br />

dynamic models here, but it can shortly be menti<strong>on</strong>ed that dynamic models look at the labour<br />

supply decisi<strong>on</strong> over several time periods. The influence <strong>of</strong> decisi<strong>on</strong>s taken in this period <strong>on</strong> the<br />

labour supply in the next period is taken into account, <strong>and</strong> also it is possible to accumulate wealth<br />

over the time periods. 28<br />

In this setting it is assumed that there are no dem<strong>and</strong> side c<strong>on</strong>straints <strong>and</strong> the individuals choose<br />

their hours <strong>of</strong> labour supply according to their utility maximizati<strong>on</strong>, <strong>and</strong> therefore it is supposed that<br />

all unemployment is voluntary. This means that there is no distincti<strong>on</strong> between voluntary n<strong>on</strong>participati<strong>on</strong><br />

<strong>and</strong> involuntary unemployment. 29 As l<strong>on</strong>g as this assumpti<strong>on</strong> is kept, the probability <strong>of</strong><br />

labour force participati<strong>on</strong> <strong>and</strong> the probability <strong>of</strong> being employed are the same thing since all<br />

unemployment is assumed to be voluntary. As Haan <strong>and</strong> Uhlendorff (2007) menti<strong>on</strong> this<br />

assumpti<strong>on</strong> seems far from reality. It is possible to extend the model <strong>and</strong> distinguish between<br />

voluntary <strong>and</strong> involuntary unemployment. Other factors are recognized to play a part in the<br />

probability <strong>of</strong> employment, or for that matter in the probability <strong>of</strong> involuntary unemployment,<br />

which occurs when the individual would have a higher utility <strong>of</strong> he was working. These factors<br />

comprise <strong>of</strong> dem<strong>and</strong> side c<strong>on</strong>straints <strong>and</strong> individual characteristics. 30 With this expansi<strong>on</strong> <strong>of</strong> the<br />

model, the individual is faced with the choice am<strong>on</strong>g employment, n<strong>on</strong>-participati<strong>on</strong> <strong>and</strong> job<br />

seeking. Dem<strong>and</strong> side restricti<strong>on</strong> c<strong>on</strong>sist <strong>of</strong> for example employment protecti<strong>on</strong> laws that make<br />

28 Killingsworth <strong>and</strong> Heckman (1986)<br />

29 Haan <strong>and</strong> Uhlendorff (2007)<br />

30 Haan <strong>and</strong> Uhlendorff (2007)<br />

13

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