Existence, uniqueness, and computation of short-run and long-run equilibria of the Dixit-Stiglitz-Krugman model in an urban setting

Existence, uniqueness, and computation of short-run and long-run equilibria of the Dixit-Stiglitz-Krugman model in an urban setting
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城市环境中迪克西特-斯蒂格利茨-克鲁格曼模型的存在性、唯一性以及短期和长期均衡的计算

DOI:
10.1016/j.amc.2014.02.014
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发表时间:
2014
期刊:
Appl. Math. Comput.
影响因子:
--
通讯作者:
Y. Sakai
Y. Sakai
中科院分区:
--
文献类型:
--
作者:
M. Tabata;N. Eshima;Y. Sakai

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本研究分析了迪克西特-斯蒂格利茨-克鲁格曼模型的短期和长期均衡,没有考虑农业。该模型属于新经济地理学的分支,描述了城市环境中真实的工资差异所引发的真实的工资分配和工人流动。对开展经济活动的地点总数没有限制。我们证明了该模型存在短期平衡点,得到了其唯一性的充分条件,并构造了一个迭代格式以获得逼近误差足够小的数值短期平衡点.此外,我们证明了,如果替代弹性和运输成本是足够大的,那么该模型有一个唯一的长期均衡。
This study analyzes the short-run and long-run equilibria of the Dixit–Stiglitz–Krugman model, without accounting for agriculture. The model, within the branch of New Economic Geography, describes the real wage distribution and worker movements motivated by the disparity in real wages in an urban setting. No restriction is imposed on the total number of locations where economic activities are conducted. We prove that this model has a short-run equilibrium, obtain a sufficient condition for its uniqueness, and construct an iteration scheme to obtain numerical short-run equilibria whose approximation errors are sufficiently small. Moreover, we prove that if the elasticity of substitution and the transport costs are sufficiently large, then the model has a unique long-run equilibrium.
DOI: 10.1017/cbo9780511805660
发表时间: 2002-05
期刊: --
影响因子: --
作者:
Masahisa Fujita;Jacques-François Thisse
通讯作者: Masahisa Fujita;Jacques-François Thisse
DOI: 10.1111/j.1468-5876.2009.00504.x
发表时间: 2010-02
期刊: International Trade eJournal
影响因子: --
作者:
Masahisa Fujita
通讯作者: Masahisa Fujita