英语论文网

onal. It is, therefore, weaker than the “weak” generalisation in this sense, even though it does specify the presence of at least one negative element in each column whereas the “weak” generalisation does not. The column property means that when the price of any one good changes, at least one factor has an increase in real income as defined by Stolper and Samuelson, and at least one has a decrease in real income. There must be conflict between groups of factor owners. The row property states that, for every group of factor owners who derive their income solely from the factor in this row, there is at least one good whose price increase will raise their real incomes and at least one other good whose price increase will lower their real incomes. This generalisation is thus the minimal restriction that preserves the conflict features of the original theorem. It has the added advantage that it extends to nonsquare matrices when the number of goods and factors is uneven. None of the three generalisations hold for the 3x3 version of the model without restrictions on the technology. Kemp and Wegge (1969) provided a factor intensity condition which is sufficient for the strong generalisation and Chipman (1969) provided a factor intensity condition in terms of a dominant diagonal which is sufficient for the weak generalisation. No condition which is sufficient (or necessary and sufficient) for the third generalisation has been provided to my knowledge.

This case is a counter-example to each of the three generalisations. It is easily verified that the share matrix violates the Kemp-Wegge and the Chipman conditions. Moreover, it has not been possible to derive conditions for the strong or weak generalisation which are sufficient (or better necessary and sufficient) when n > 3. And the third or basic generalisation does not hold either in this case. Ethier (1974) was able to prove the desired column property.

Using this result, Jones and Scheinkman (1977) were able to prove that every row must have a negative element but could not prove that it had an element greater than unity. However, Ethier’s proof requires the rather extreme assumption that all θij > 0, that is, all of the factors are used in all industries. For the nxn case, Jones and Scheinkman showed that every column has a negative element under the weaker condition that every factor is used in strictly positive quantities by at least two industries and every industry employs strictly positive amounts of at least two factors. While this is not a very strict condition, the first part rules out industry-specific factors. Some further results have been obtained by Jones and other co-authors (see Jones and Mitra (1995) and references therein). These involved other restrictions on the factor intensities between sectors using the benchmark share rib of factor shares. When m > n, Jones and Scheinkman (1977) showed that the property that every column has a negative element and an element which is greater than unity held when θ is a positive matrix. The specific factor model developed formally by Jones (1971) for the model of 3x2 dimensions and extended by Jones (1975) to (n+1)xn is an example of m>n and has been widely used in the political economy literature. In this model, every column does has an element greater than unity and an element less than zero.

Moreover, if one considers the s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。