稻田条件

宏观经济学中, 稻田条件 (根据日本经济学家稻田献一命名)[1] 是关于生产方程形状的假设。如果满足稻田条件,就在新古典经济增长模型中满足了经济增长稳定。

对于函数,六个条件是:

  1. 函数 在x为0时的值为0:
  2. 函数连续可导,
  3. 函数对任何自变量都严格递增: ,
  4. 函数的二阶导数对自变量严格递减 (也就是说函数是凹函数): ,
  5. 一阶导函数在任一自变量趋于0时极限为正无穷大:,
  6. 一阶导函数在任一自变量趋于正无穷大时极限为0:

可以证明[2] 稻田条件决定了生产方程一定是渐进于Cobb–Douglas函数

参考

  1. Inada, Ken-Ichi (1963) "On a Two-Sector Model of Economic Growth: Comments and a Generalization," The Review of Economic Studies, 30(2): 119-127
  2. Barelli, Paulo and Samuel de Abreu Pessoa (2003) "Inada Conditions Imply That Production Function Must Be Asymptotically Cobb-Douglas" Economics Letters 81(3) 361-63
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