Unemployment in an Interdependent World



Country 1, ∆ Unemployment

16"∣""                                                  ■'            ` '”■••:          ■                  0.0

14-                                                                                   :                             i                                 :           0.0

:                   :                   :             0.0

12- ∙                                                                                             ;                                                  :

:                   '             0.0

10-.. ""                                                               ..   :         ':"-.      :

0.0

8-       "              :                                                                                                                                                        :

■                                                                                              :     '■■-../         0.0

6 — , " " "       ’ ’ ∙                                                                                       :        0.0

3.8 ʌ''-.     .. - - " "

55∖                      0

>-< ∙ '                                     ` ∙ .      —15

6.7 ∖.          .∙∙^ ∙.             . -'

^∖a,                .             30

85          _         " 45

σ      10 60          τ (%)

Country 2, ∆ Unemployment

7>"""'      :        ..∙"i"'                            .     :          :         ' — ■...

6-. .-"""     :                                                                               ^'√--.,,     :

5—'""      i                                                                 ■'■■■-.

4-. .∙ ""     :                                                                               '""...      ;

3- --"""       a                                                        ;

2-                                                                                                                            :

1 -.^∙,."∙ '                                                                     . "Л "...      :

3.8   ""..^   .                                                      .^-'---∙∙’Z            'jʃ^-

5∙5∖                      '      ’        0

^>∙<                                ` ∙               15

6'^^^^      30

85                         45

σ 10 60          τ (%)


Figure 4: Change in unemployment [on the vertical axis] as a function of trade costs and
the elasticity of substitution for a given change of b
1 from 0.4 to 0.8.



Forslid, Martin, Ottaviano, and Robert-Nicoud, 2003) emphasize the role of market size
for explaining the pattern of trade as well as the agglomeration of industries and activities.
Hence, we next investigate how changes in the degree of external economies of scale, ν ,
affect the spill-over. Result 4 summarizes our findings:

Result 4 [External economies of scale and spill-overs]

Stronger external economies of scale result in more pronounced unemployment effects in
all countries.

Figure 5 reveals that a higher ν implies a larger change in unemployment in all coun-
tries. The reason is that now the income effect is reinforced because the
absolute size of
the countries matters while this effect is sterilized with ν = 0. A larger market implies
higher demand, leading to more production and, therefore, lower unemployment.

However, if unemployment benefits rise, the demand shrinks due to lower income
(resulting from less efficient institutions). A higher degree of external economies of scale
reinforces this process, leading in the end to higher unemployment in the country where
the unemployment benefits rise. The spill-overs for the trading partner are also larger
with a higher degree of external economies of scale due to the shrinking export market.

3.5 How important is firm-level heterogeneity?

Next, we explore the role of firm heterogeneity by changing γ , the shape parameter of
the Pareto distribution. We vary γ between 3.8 and 10. A shape parameter of the Pareto
distribution of γ = 3.8 with a lower bound of 7 = 0.5 implies a variance of 0.067, a
standard deviation of 0.260 and a coefficient of variation of 0.382, whereas a γ = 10
implies a variance of 0.004 a standard deviation of 0.062 and a coefficient of variation

25



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