Differential Demand Systems: A Further Look at Barten's Synthesis

Differential Demand Systems: A Further Look at Barten's Synthesis
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DOI:
10.2307/20062064
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发表时间:
2005
影响因子:
1.9
通讯作者:
Toshinobu Matsuda
Toshinobu Matsuda
中科院分区:
经济学4区
文献类型:
--
作者:
Toshinobu Matsuda

文献摘要

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Barten的综合模型对应用研究人员很有吸引力,因为它有助于测试不同需求系统的竞争功能形式的充分性,包括流行的鹿特丹需求系统和几乎理想的需求系统。本文表明,综合模型不仅仅是已知的不同需求系统的人工合成,而是作为一个独立的模型。结果表明,在个体消费者层面,Barten模型与Box-Cox变换所形成的恩格尔曲线的特定形式所产生的边际预算份额相同。
Barten's synthetic model is attractive to applied researchers since it is useful for testing the adequacy of the competing functional forms of differential demand systems including the popular Rotterdam and almost ideal demand systems. This article shows that the synthetic model is not a mere artificial composite of the known differential demand systems as it has been considered, but rather viewed as a model in its own right. It is demonstrated that, at the individual consumer level, Barten's model has the same marginal budget shares as generated by specific forms of Engel curves formulated by the Box–Cox transformation.