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# [经济学] 求翻译 关于索洛模型的 [推广有奖]

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66509637 发表于 2010-10-11 15:05:43 |显示全部楼层
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Assume the Inada conditions hold for F, then with θ fixed it is immediate that starting from
any k(0) > 0, the economy converges to a unique k∗ as in the Solow model. As the economy
approaches its balanced growth path, aggregate output, consumption and capital all grow at
rate gB +n while their corresponding per capita magnitudes grow at rate gB. Using standard
notation for growth in per capita magnitudes, along the balanced growth path we must have
gy = gk = gc = gB > 0. A potentially worsening environment however threatens this
happy existence. Since k approaches the constant k∗ we can infer from (5) that the growth
rate of aggregate emissions along the balanced growth path, gE, is given by:
gE = gB + n − gA (6)
The first two terms in (6) represent the scale effect of growth on emissions since aggregate
output grows at rate gB +n along the balanced growth path. The second term is a technique
effect created by technological progress in abatement.
Define sustainable growth as a balanced growth path generating both rising consumption
per capita and an improving environment. Sustainable growth is guaranteed by:
gB >0 and gA > gB + n (7)
Technological progress in goods production is necessary to generate per capita income
growth. Technological progress in abatement must exceed growth in aggregate output in
order for pollution to fall and the environment to improve.

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wenpan9933 发表于 2010-10-11 16:41:11 |显示全部楼层
 假定稻田条件对F成立，那么固定θ不变，立即可以推出对任意k(0) > 0，经济收敛到和索罗模型一样的唯一  k∗。当经济趋近于平衡增长路径时，总产出、消费和资本均按gB+n的速度增长，而相应的人均产出、人均消费和人均资本则按gB的速度增长。利用标准的人均增长指标术语描述，沿着平衡增长路径，我们一定能够得到 gy = gk = gc = gB > 0。然而，一种可能恶化的情况威胁这个巧妙的解。 因为k趋近于常数k∗， 我们可以从（5）推出沿平衡增长路径的总出口（？）的增长速度gE由 gE = gB + n − gA (6) 决定。因为总产出沿着平衡增长路径以gB+n的速度增长，（6）的前两项代表出口增长的规模效应。第二项是减速的技术进步所创造的技术效应。将可持续增长定义为导致人均消费上升和环境改善的平衡增长路径。可持续增长由下式决定： gB >0 and gA > gB + n (7) 商品生产中的技术进步是人均收入增长所必须的。放缓的技术进步必须超过总产出的增长，以降低污染和改善环境。

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