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The Dual Structure of Incomplete Demand Systems


  • Jeffrey T. LaFrance
  • W. Michael Hanemann


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.

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  • Jeffrey T. LaFrance & W. Michael Hanemann, 1989. "The Dual Structure of Incomplete Demand Systems," Monash Economics Working Papers archive-21, Monash University, Department of Economics.
  • Handle: RePEc:mos:moswps:archive-21

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    1. Yew-Kwang Ng, 2017. "Towards a Theory of Third-Best," Pacific Economic Review, Wiley Blackwell, vol. 22(2), pages 155-166, May.
    2. Martin Feldstein, 1999. "Tax Avoidance And The Deadweight Loss Of The Income Tax," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 674-680, November.
    3. Ng, Yew-Kwang, 1975. "Non-Economic Activities, Indirect Externalities, and Third-Best Politics," Kyklos, Wiley Blackwell, vol. 28(3), pages 507-525.
    4. Ng, Yew-Kwang, 1987. "Diamonds Are a Government's Best Friend: Burden-Free Taxes on Goods Valued for Their Values," American Economic Review, American Economic Association, vol. 77(1), pages 186-191, March.
    5. Ballard, Charles L & Shoven, John B & Whalley, John, 1985. "General Equilibrium Computations of the Marginal Welfare Costs of Taxes in the United States," American Economic Review, American Economic Association, vol. 75(1), pages 128-138, March.
    6. Ng, Yew-Kwang, 1987. "Relative-Income Effects and the Appropriate Level of Public Expenditure," Oxford Economic Papers, Oxford University Press, vol. 39(2), pages 293-300, June.
    7. Ng, Yew-Kwang & Wang, Jianguo, 1993. "Relative income, aspiration, environmental quality, individual and political myopia : Why may the rat-race for material growth be welfare-reducing?," Mathematical Social Sciences, Elsevier, vol. 26(1), pages 3-23, July.
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