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International Trade and Finance



                  Notes          Figure 2.5 explains the gains from international trade. AB is the transformation curve representing
                                 the supply side and IC  is the community indifference curve representing the demand side of an
                                                    0
                                 economy. The closed economy (no trade) equilibrium is shown by point E where the AB and IC  curves
                                                                                                           0
                                 are tangent to each other and both equal the domestic terms of trade or commodity price ratio (line) PP.
                                 With the introduction of international (or free) trade the international price ratio (terms of trade) will
                                 be different from the domestic price ratio (terms of trade). It is shown as P  and is steeper than the
                                                                                             1
                                 domestic price ratio P. It means that the price of commodity X has increased in relation to commodity
                                 Y in the world market. At the international price line P , the consumers move to point C on a higher
                                                                             1
                                 community indifference curve CI, from point E on the IC  curve. This movement from E to C measures
                                                                             0
                                 the gan from exchange or consumption gain wth no change in production.
                                 Since the price of X has increased in the world marker, producers increase its production and decrease
                                 that of Y. This lead to movement along the transformation curve from point E to E  where the
                                                                                                       1
                                 international price line P  is tangent equals the international price ratio. The new world terms of
                                                      2
                                 trade ratio P  is the same as P  because it is parallel to P . At E  the country exports E Z of X in
                                            2
                                                          1
                                                                                                        1
                                                                                      1
                                                                                1
                                 exchange for ZC  imports of Y.
                                               1
                                 As a result of increased specialization in the production of X, there is shift in consumption from point
                                 C on the IC  curve to point C' on the IC  curve, where consumers consume larger quantities of both X
                                                                2
                                          1
                                 and Y. This movement from C to C' measures the gain from specialization in production or production
                                 gain. At C', the marginal rate of substitution and the international price ratio are equal. Hence the
                                 gains from international trade are maximized at points E  and C' because the marginal rate of
                                                                                 1
                                 transformation in production and the marginal rate of substitution in consumption are equal to the
                                 international price ratio P . The total gain from free tradeis the sum of the consumption are equal to
                                                      2
                                 the international price ratio P . The total gain from free trade is the sum of the consumption and
                                                         2
                                 production gains and is shown as improvement in welfare from IC  to IC .
                                                                                       0    2
                                 2.4 An Application to Fair Allocation
                                 Once we have a measure of the gains from trade in an economy, how can we distribute them fairly?
                                 An “allocation rule” recommends for each economy a set of feasible allocations. We look for allocations
                                 rules that distribute gains from trade fairly. First, we propose a method to determine the contribution
                                 of each agent to the gains from trade. Then, we declare an allocation “fair” if each agent obtains her
                                 contribution to the gains from trade. Finally, we propose an allocation rule which assigns to each
                                 agent her contribution to the gains from trade. This rule is not efficient, but we show that a recursive
                                 procedure distributes gains from trade fairly at each step and defines an efficient rule.
                                 2.4.1 Contributions to Gains from Trade
                                 In order to determine each agent’s contribution to the gains from trade, we propose to use the solution
                                 concept of the theory of cooperative games known as the Shapley-value, using its interpretation as
                                 rewarding agents as a function of their “marginal contributions” to all subgroups. We measure each
                                 agent’s contribution to the gains from trade as the “marginal gains” in each subpopulation.
                                 First, we generalize the definition of the weighted-gains family to allow for variable populations. For
                                 each subpopulation N' ⊂  N  and each economy  (R,ω ) ε∈  , the α -weighted-gains metric measures gains

                                                          (
                                 from trade of the subeconomy  R N' ,ω N' ) by the largest vector z GR ,ω∈  (  N'  N'  )  proportional to α .
                                 Self -Assessment
                                 1. Choose the correct option:
                                     (i) Mercantilism advocated that a country
                                        (a) prohibit all exports because it viewed trade as zero sum, believing that one nation's gain
                                           was another nation's loss.
                                        (b) Should pursue Free trade because it viewed trade as zero sum, and therefore, that trade
                                           would always be balanced.


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