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my output of each good. These can be termed the Rybczynski weights.2 They may be positive or negative. Hence, the output of a commodity imputed to a household may be positive or negative. If the household’s endowments lie outside the cone of diversification, one or more of the outputs imputed to the household will be negative. A household may produce more than the national output of a good if other households in the aggregate produce a negative output of the good. The household’s output vector is merely the vector it would be required to produce if its endowments are to be fully employed and it uses the national technology. It is a notional concept which will enable us to obtain further results.

Using this matrix in Equation (10), one sees immediately that a household which owns a specific factor produces a positive output of the good which use this specific factor and negative output of the other good whereas the household owning the non-specific factor produces both goods positively. Furthermore, a household owning one of the specific factors actually produces more than the national output because the Rybczynski weights are greater than the terms (1/aKi) = yi in Equations (18). In this model, an increase in the stock of a factor causes the factor price to decrease and this in turn increases the input of this factor at the margin. Hence, the square sub-matrix in the second and third rows of the V has precisely the same sign pattern as the original Stolper-Samuelson 2x2 model. These results for the 2x2 and the 3x2 models and the use of imputed outputs generally can be explained by the Reciprocity Relation. For a competitive equilibrium such that all goods are produced and all factors fully employed, as we have been assuming, the Reciprocity Relation states that yv = wp .

Every term in each column of γ is identical. Similarly, every term in each column of φ is identical. Therefore, V is a matrix in which all terms in a column have the same sign. This holds for all θ. Diversity is a departure from equal ownership of factors and equal consumption shares among households. With any diversity, the terms in a column will cease to be equal. With small diversity in household ownership of factors and/or preferences, the terms in the columns of V will be the same sign for all i. Evidently, the assumption that each household owns only one factor that is not owned by any other household, which is built into the previous literature, is extreme diversity in factor ownership and produces atypical results. All of the results reported in Section I hold because of the combination of the assumed restrictions on technology and the restriction of household ownership to the extreme case of completely undiversified ownership.

In all of these cases the extreme diversity in factor ownership alone coming from completely undiversified households is sufficient for the basic generalisation to hold in terms of V. It is also apparent that the required pattern would hold in these models if households endowments were only partially diversified. A more general 3x3 example will demonstrate the role of imputed outputs in the determination of the patterns of factor ownership which yield the real income effects of the generalisation of the Theorem. Example : 3x3 Heckscher-Ohlin model It is convenient to use the Leamer Triangle. This Triangle has been used previously in the anal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。