Beyond CES: Three Alternative Classes of Flexible Homothetic Demand Systems

Beyond CES: Three Alternative Classes of Flexible Homothetic Demand Systems
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超越 CES:灵活同势需求系统的三种替代类别

DOI:
10.2139/ssrn.3015279
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发表时间:
2017
期刊:
ERN: Consumption
影响因子:
--
通讯作者:
Philip Ushchev
Philip Ushchev
中科院分区:
--
文献类型:
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作者:
Kiminori Matsuyama;Philip Ushchev

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我们刻画了三类需求系统,它们都是非参数定义的:具有单个集合子的同质需求系统(HSA)、具有直接隐加性(HDIA)的同质需求系统(HDIA)和具有间接隐加性(HIIA)的需求系统。在HSA中,所有交叉价格效应由一个价格聚合器捕获,而在HDIA和HIIA中,它们由两个价格聚合器捕获。这三个类中的每一个都包含CES作为特例。然而,它们是两两不相交的,唯一的例外是CES。因此,这些同类需求系统为我们提供了三种脱离CES的替代方式。
We characterize three classes of demand systems, all of which are defined non-parametrically: homothetic demand systems with a single aggregator (HSA), those with direct implicit additivity (HDIA), and those with indirect implicit additivity (HIIA). In HSA, all the cross-price effects are captured by one price aggregator, while in HDIA and in HIIA, they are captured by two price aggregators. Each of these three classes contains CES as a special case. Yet, they are pairwise disjoint with the sole exception of CES. Thus, these classes of homothetic demand systems offer us three alternative ways of departing from CES.