Comparison of Optimal Control Solutions in a Labor Market Model



Table 1

Endogenous Variables in the Model.

Description

Variable

Wages

w

Vacancies

V

Inflow of vacancies

VI

Total unemployment

U

Total employment

E

Short-term unemployment

US

Monthly short-term unemployment

Uk,   k= 1,..., 12

Long-term unemployment

UL

Probability of escape from unemployment

π

Total flow from employment to unemployment

FEU

Flow from unemployment to newly created jobs; job creation

FUEV

Flow from employment to not-in-labour-force; job destruction

FENV

Flow from not-in-labour-force to newly created jobs; job creation

FNEV

Flow of new vacancies to unemployed workers

VOU

Table 2

Exogenous Variables in the Model.

Description

Variable

Flow of vacancies to non-unemployed workers

V OEX

Outflow from unemployment to employment other than job creation

FUEX

Outflow from employment to unemployment other than job destruction

FEU X

Added value per worker

y

Interest rate

r

Lump-sum taxes

τ

Unemployment benefits

b

Proportion of long-term unemployed in ALMPs

λ

3 The Control Methods

3.1 Purpose of the Control

We consider the unemployment rate to be the output of the model. The control
objective is to generate a policy for ALMPs that reduces the unemployment



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