Perturbed cusp catastrophe in a population game: Spatial economics with locational asymmetries
Perturbed cusp catastrophe in a population game: Spatial economics with locational asymmetries
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人口博弈中的扰动尖点灾难：位置不对称的空间经济学
DOI：
10.1111/jors.12582
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发表时间：
2022
影响因子：
3
通讯作者：
Osawa Minoru
中科院分区：
文献类型：
--
作者：
Ikeda Kiyohiro;Takayama Yuki;Gaspar Jos? M.;Osawa Minoru
本文研究了具有外生位置不对称性的双策略人口博弈中的尖点灾难及其在空间经济学中的应用。我们推导出两种近似博弈：尖点灾难形式和更一般的形式。作为本文的新颖贡献，仅使用三个不对称参数来表达任意数量的区域不对称的影响，从而允许进行分析分析。我们使用一般形式发现了一种具有滞后现象的新行为。两种经济地理学模型证明了这些表格的有用性。提出了构建尖点突变形式的数值方法。
This paper studies the cusp catastrophe in a two‐strategy population game with exogenous locational asymmetries and its application to spatial economics. We derive approximating games of two kinds: a cusp catastrophe form and a more general form. As a novel contribution of this paper, the effects of an arbitrary number of regional asymmetries are expressed using only three asymmetry parameters, thereby allowing for an analytical analysis. We find a new behavior with hysteresis using the general form. The usefulness of the forms is demonstrated for two economic geography models. A numerical recipe is presented to construct the cusp catastrophe form.