In Quest of the Slutsky Diamond
通过将斯勒茨基方程构造为菱形,证明替代弹性增加会使需求函数在某区间内变为凹函数,并说明生产水平随替代弹性上升。作者还指出替代弹性直接影响经济增长率及持续增长的可能性。
The Slutsky equation can be constructed as a parallelogram (a diamond), the area of which is proportional to the elasticity of substitution. This construction permits to show immediately that demand functions become concave on an interval if the elasticity of substitution increases sufficiently. Also, the diamond sheds light on the fact that the production level increases with the elasticity of substitution. As an application, the author shows that the elasticity of substitution has a direct bearing not only on the rate of growth of an economy, but also on the very existence of sustained growth. Copyright 1989 by American Economic Association.