The Dual Structure of Incomplete Demand Systems
讨论不完全需求系统的可积性，定义弱可积性、准支出函数等概念，并建立它们与标准函数的关系，从而进行精确福利分析并揭示条件偏好结构。
Abstract Integrability of incomplete demand systems is discussed. The concepts of weak integrability, quasi‐expenditure function, quasi‐indirect utility function, and quasi‐utility function are defined. Their relationships to the expenditure function, indirect utility function, and utility function are developed. The dual structure of the quasi‐functions permits exact welfare analysis and reveals the conditional preference structure for the commodities of interest. New results relating the uniqueness and exactness of consumer's surplus to the structure of the expenditure and indirect utility functions are obtained.