一題跨期模型 - 經濟

Consider an economy of two-period-lived people in overlapping generations.

Each person produces from labor y goods when young and nothing when old.

The number of people born doubles every period.

There is the following capital technology: if "Kt" goods per young person are

turned into capital at "t", the capital produces F(Kt) goods at "t+1".

The diminishing marginal product of capital is F'(Kt).

After production takes place, "d" units of capital are lost to depreciation.

However, the remaining units of capital can be consumed.


(1) Find an equation that represents the set of feasible stationary allocations
and explain it in words

我寫的答案是 Nt*C1t + Nt-1*C2t + Nt*Kt < Nt*y + Nt-1*F(Kt-1)- F(d)
=
(大N是指總人口數 t下標指的都是期數)

不過老師說不對....然後又沒給答案

我在猜是不是後面的折舊項錯了

(2) Find the equation that describe the golden rule capital stock for this
economy. You may use either calculus or marginal cost and margianl benefit
analysis.

恩..第二題寫不出來

希望有善心人士可以指點一下 感謝

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