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The geography of inequalities in Europe Philippe Martin ... - ENPC

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<strong>in</strong> the three regions, or <strong>in</strong> only one 2 . <strong>The</strong> choice <strong>of</strong> location is simply a m<strong>in</strong>imization <strong>of</strong> the sum<strong>of</strong> production and trade costs.If the firm decides to produce <strong>in</strong> the three regions, its total cost is:TC ( R + C + A)= 3F+ c S + c S + cRRCCwhere F is the fixed cost associated to each plant, c R,, c C, , c A are the marg<strong>in</strong>al costs <strong>of</strong> production(that can be <strong>in</strong>terpreted as the wage costs) respectively <strong>in</strong> the Ruhr, Catalonia and Andalusia. Weassume that c R, > c C, > c A . S R, , S C, , S A are the market sizes respectively <strong>in</strong> the Ruhr, Cataloniaand Andalusia. We assume that S R > S C > S A . Note that <strong>in</strong> this situation, the firm pays no tradeor transport costs as it produces <strong>in</strong> all three locations.If the firm produces <strong>in</strong> the Ruhr only, its total cost is:TC ( R)= F + c ( S + S + S ) + t ( S + S ) + tRRCAIwhere t I, is the <strong>in</strong>ternational trade cost which the firm located <strong>in</strong> Germany has to pay to sell <strong>in</strong>Catalunia and Andalusia. To sell <strong>in</strong> Andalusia, the firm also has to pay the domestic Spanishtrade cost (which can be <strong>in</strong>terpreted as a transport cost) as this region is <strong>in</strong> the periphery.If the firm produces <strong>in</strong> Catalunia only, its total cost is:TC ( C)= F + c ( S + S + S ) + t S + tCRCAIRso that it pays the <strong>in</strong>ternational trade cost to sell <strong>in</strong> Germany and the domestic Spanish cost tosell <strong>in</strong> Andalusia.F<strong>in</strong>ally, if the firm decides to produce <strong>in</strong> Andalusia, its total cost is:ARCACASDAASADS( tI+ tD) SRtDSCTC ( A)= F + c ( S + S + S ) ++Suppose we start from a situation where <strong>in</strong>ternational trade costs t I, are very high. In thissituation, which we <strong>in</strong>terpret as the pattern before the <strong>Europe</strong>an <strong>in</strong>tegration process, the firm willwant to locate some activity <strong>in</strong> the three locations. It is easy to check and it is <strong>in</strong>tuitive <strong>in</strong>deedthat if t I, is high enough (and domestic transport costs are not too low either) then:TC ( R + C + A)< TC ( R),TC ( C), TC ( A)or any other location equilibrium. This just says that iftrade costs are high, firms will want to be close to all their consumers.Suppose now that Spa<strong>in</strong> and Germany lower their trade costs t I, . In a highly stylized way,we <strong>in</strong>terpret the scenario <strong>of</strong> “global convergence with local divergence” as a case when the firmA2 Of course, the firm could produce <strong>in</strong> two regions. This possibility would complicate the presentation withoutadd<strong>in</strong>g much.

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