This paper characterizes all utility derived demand systmes having Engel curves that are linear in both income and an arbitrary function of income. This class encompasses virtually all utility derived demand systems that have been estimated in the past using ag gregate data with explicit...

The line integrals that define mechanical quantity indices are path independent only in unrealistic cases like homothetic preferences. D. O. Stahl (1983) described a generalized divisia index that is path independent for quasihomothetic demands. The present paper constructs an analogous...