The condition for xM - xE > 0 is (Fi + b(y* - yi )λλbν2d + c2 П (bθG - dθβ )]>0 which is
also fulfilled as long as (bθ G - dθB )>0. Again, because there is no seigniorage, siE -siM
0.
Proof of Result 4:
The condition for xiA -xiM >0 is that
λθBν2 ɪ (Fi + b(y* - yi ))(λdν2 + c2 T-)>n ∑j (xA + (y* - yj fλd + θG)λννν2+ c2ω ).
The condition for siA -siM >0 is that
(Fi + b (y * - y. )λθεV n-1 (dθβ — b ~)> ɪ Σ (xA + (y * — У )λν,ν2 + c∖dθβ - b θG-). Notice that
i i i 2n n n j j j j 12 2 n
if (nbθG - dθB )>0 the inequality reverses its sign. Hence, the comparison about structural
reforms depends not only on the distortions of country i vis-à-vis the average of the other
countries but also on the size of d.
24
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