Growth Dynamics and Returns to Scale: Bifurcation Analysis
Growth Dynamics and Returns to Scale: Bifurcation Analysis
复制标题
增长动力和规模回报：分叉分析
DOI：
10.1006/jeth.1999.2632
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发表时间：
2001
期刊：
影响因子：
--
通讯作者：
Karl Shell
中科院分区：
文献类型：
--
作者：
Gaetano Antinolfi;Todd Keister;Karl Shell
我们研究了内生增长模型的动态行为对规模回报程度的依赖性。我们专注于一个简单（但具有代表性）的增长模型，其中包括公共资助的发明活动。我们证明，可再现因子的恒定回报（内生增长文献中的主要案例）是一个分叉点，并且它具有跨临界分叉的特征。分叉涉及状态空间的边界，因此很难正式验证这种分类。对于特殊情况，我们提供了一种转换，允许通过现有方法进行正式分类。我们讨论了在更广泛的模型类别中正式验证跨临界性所需的新方法。
We investigate the dependence of the dynamic behavior of an endogenous growth model on the degree of returns to scale. We focus on a simple (but representative) growth model with publicly funded inventive activity. We show that constant returns to reproducible factors (the leading case in the endogenous growth literature) is a bifurcation point, and that it has the characteristics of a transcritical bifurcation. The bifurcation involves the boundary of the state space, making it difficult to formally verify this classification. For a special case, we provide a transformation that allows formal classification by existing methods. We discuss the new methods that would be needed for formal verification of transcriticality in a broader class of models.
DOI：
10.2307/3620310
发表时间：
1989-10
期刊：
--
影响因子：
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作者：
S. Wiggins
通讯作者：
S. Wiggins