Utility Functions and Global Regularity of Fractional Demand Systems
推导了生成所有分数需求系统的间接效用函数，证明这些系统可以具有大的正则区域，并给出了全局或近似全局正则的充分条件，还扩展到秩三分数需求。
Fractional demand systems are utility derived demands having quantities or budget shares proportional to ag + bf, where g and f are functions of income and a and b vary across goods and are functions of prices. Many known demand systems that have large regular regions are fractional. This paper derives the indirect utility functions that generate all fractional demand systems, shows that these systems can all have large regular regions, and provides sufficient conditions for their global or nearly global regularity. An extension to rank three fractional demands is provided. Copyright 1995 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.