英语论文网

ysis of the Stolper-Samuelson Theorem by Jones (1992) and Lloyd and Schweinberger (1997). In this application, the triangle is applied to the endowments of the individual households within the national economy rather than the endowments of the nations within the world economy as in Leamer (1987). It is obtained by the intersection of the positive orthant of the 3-dimensional factor space with a unit value plane. The Triangle is then the unit simplex. The triangle represents graphically in 2dimensional space the relative proportions of the three factors. Thus, the endowment vectors of the individual households are points in the Triangle. For a household, the coordinates of these points are the shares of the income of the household from each factor ( α1 , α2 , α3 ). The endowment points of the households are distributed over the Triangle. A household which is completely diversified in that it owns a strictly positive quantity of each factor will have an endowment point in the interior of the Triangle. A household which owns two of the three factors will have an endowment point on a side of the Triangle and one which is completely undiversified will have it at a vertex. We also plot in the Triangle the vector of cost-minimising input coefficients used in the production of each good, θi. The coordinates of these points represent the distributive shares of the factors, (θ1i,θ2i,θ3i). These vectors represent the technology.

For any technology, the Leamer Triangle can be partitioned into 7 zones showing the pattern of complete, partial or zero diversification in production by a household whose endowment point is in this zone. The zone of complete diversification is the area within the cone of diversification. If a household’s endowment vector lies in this zone, the household will produce all three goods in strictly positive quantities. If it lies in another zone, it will produce positive quantities of one or two goods only. This partition holds for any technology. If θ lies on a side of the Triangle ( because one of the factors is not used in the production of one good, good i), the zone in which only good i is produced positively reduces to the point θi. Figure 1 provides an illustration. The technology in this figure is an example of a technology which satisfies the Chipman dominant diagonal condition. The points labelled θ1, θ2 and θ3 show these sets of coefficients for goods 1, 2 and 3 respectively. The lines connecting these points form the familiar cone of diversification. For the technology given by the points θ1, θ2 and θ3, the zones of zero, partial or complete diversification in the imputed outputs of households are shown. The goods produced in each zone are given in parentheses. First assume, as in the original Chipman case, that there are three households which are completely undiversified in their factor ownership. Let households 1, 2 and 3 own the stocks of factors 1, 2 and 3 respectively. The endowments points of the three households are at the three vertices of the triangle. Then, households 1 and 3 produce only one good in positive quantities, good 1 and 3 respectively. These are the goods which use intensively the factor which the household owns. The other two goods are produced in negative quantities.

Hence, the value of the imputed output of the respective good is greater than the income of these two households. These two households gain from an increase in t本论文由英语论文网提供整理，提供论文代写，英语论文代写，代写论文，代写英语论文，代写留学生论文，代写英文论文，留学生论文代写相关核心关键词搜索。