Comparative Dynamics in Stochastic Models with Respect to the L∞-L∞ Duality : A Differential Approach
Comparative Dynamics in Stochastic Models with Respect to the L∞-L∞ Duality : A Differential Approach
复制标题
随机模型中关于 L∞-L∞ 对偶性的比较动力学：一种微分方法
DOI：
10.1017/s1365100511000605
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发表时间：
2012
影响因子：
0.9
通讯作者：
Makoto Yano
中科院分区：
文献类型：
--
作者：
Kenji Sato;Makoto Yano
许多经济分析都是基于这样一种性质，即商品向量的价值会对经济环境的变化不断作出反应。然而，众所周知，许多无限维模型，如无限时域随机增长模型，缺乏这一性质。本文研究了对偶向量位于L∞空间中的随机增长模型。该结果确保股票向量的值相对于股票向量及其支持价格向量是联合连续的。结果是基于Yano [Journal of Mathematical Economics 18（1989），169-185]为随机增长模型开发的Banach空间中的微分方法。
Many economic analyses are based on the property that the value of a commodity vector responds continuously to a change in economic environment. As is well known, however, many infinite-dimensional models, such as an infinite–time horizon stochastic growth model, lack this property. In the present paper, we investigate a stochastic growth model in which dual vectors lie in an L∞ space. This result ensures that the value of a stock vector is jointly continuous with respect to the stock vector and its support price vector. The result is based on the differentiation method in Banach spaces that Yano [Journal of Mathematical Economics 18 (1989), 169–185] develops for stochastic growth models.