重温Mitra-Wan林场模型

Revisiting the Mitra-Wan Tree Farm

International Economic Review · 1994
被引 30
人大 AABS 4

中文导读

重新审视Mitra-Wan林场模型,发现当贴现率很小时会出现连续最优周期,且这种周期性在扰动下依然存在。作者通过两期树木的简化案例,揭示了跨期约束导致状态-控制对应关系边界变化是新颖性的来源。

Abstract

The tree-farm model of T. Mitra and H. Wan (1985) contains novelties: a continuum of optimal cycles appear for small discounting and the cyclicality survives perturbations. To isolate the source of novelties, the author studies the simplest case: trees live naturally for two periods. This model specializes the general theory of multisector development under four conditions. It becomes a Ramsey type model, augmented by a cross-vintage constraint: the present acreage under trees, age n, must not be less than the acreage under trees age n + 1, one period hence. Novelties emerge when this constraint bounds the graph of the state-to-control correspondence. Copyright 1994 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

最优周期跨年份约束状态-控制对应两期树木模型