A rational rank four demand system
提出一类效用导出、接近多项式且秩为四的需求系统，可用于检验需求系统秩高达四，适用于涉及大量商品的消费者需求分析，并用英国数据进行了实证检验。
Abstract Past parametric tests of demand system rank employed polynomial Engel curve systems. However, by Gorman's ( 1981 ) theorem, the maximum possible rank of a utility‐derived polynomial demand system is three. The present paper proposes a class of demand systems that are utility derived, are close to polynomial, and have rank four. These systems nest rational polynomial demands, and so can be used to test ranks up to four. These systems are suitable for applications where high rank is likely, such as demand systems involving a large number of goods. A test of rank using this new class of systems is applied to UK consumer demand data. Copyright © 2002 John Wiley & Sons, Ltd.