and that
dD = ( τI /α )dln τI
we have
dI = (DI / (1-θ))( dln τIFG - dln τI )] - ( τI /α )dln τI
which leads to the condition
(DI / (1-θ))( dln τIFG - dln τI )] - ( τI /α )dln τI < 0,4
which after simplification leads to
d ln tIFG > 1 + (1 - θ)τi
dln τI DI
(16)
A subset of the joint tariff reforms decreasing deadweight loss does not exacerbate the
externality, which the relative tariff factor falls "strongly" enough. We formalize this result in the
following proposition.
Proposition 2. Under assumptions of sections 3.1. and 3.2., starting from an initial tariff
escalation, reducing tariff escalation with a joint tariff reduction, increases welfare and reduces
IS risk iff the joint reduction satisfy the following condition
d ln tIFG > 1 + (1 - θ)τi
dln τI DI
The intuition of the condition is straightforward. The larger the elasticity of the derived
demand DI is with respect to the processed output price, the larger is the decrease in DI and raw
imports I in response to a decrease of the final-good tariff factor τIFG. The smaller the raw input
supply response is or the own-price elasticity of derived demand is in absolute value, the smaller
4 In elasticity terms the expression is
d ln tIFG > 1 + sDεDP1>
d ln tI ηDIPn-.
, noting thatηDIPFG= -ηDIPD, sD = D/DI, and
d ln tIFG > 1 + sDεDPo ηDIPD
d ln tI ПDIPra
FG
14
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