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Integrability of Incomplete Systems of Demand Functions

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  • Larry G. Epstein

Abstract

The problem of integrating back from an incomplete set of demand functions to a utility function is considered. Conditions permitting local integrability are analogous to those which arise in local integrability theorems for complete systems. But the analysis of the global integrability of incomplete systems differs markedly from that of complete systems.

Suggested Citation

  • Larry G. Epstein, 1982. "Integrability of Incomplete Systems of Demand Functions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(3), pages 411-425.
    • Handle: RePEc:oup:restud:v:49:y:1982:i:3:p:411-425.
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    Cited by:

    1. von Haefen, Roger H., 2002. "A Complete Characterization Of The Linear, Log-Linear, And Semi-Log Incomplete Demand System Models," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 27(2), pages 1-39, December.
    2. Kesavan, Thulasiram, 1988. "Monte Carlo experiments of market demand theory," ISU General Staff Papers 198801010800009854, Iowa State University, Department of Economics.
    3. Xiang, Di & Zhan, Lue & Bordignon, Massimo, 2020. "A reconsideration of the sugar sweetened beverage tax in a household production model," Food Policy, Elsevier, vol. 95(C).
    4. Jeffrey T. LaFrance & Rulon D. Pope, 2010. "Duality Theory for Variable Costs in Joint Production," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 92(3), pages 755-762.
    5. Stafford, Tess M., 2018. "Accounting for outside options in discrete choice models: An application to commercial fishing effort," Journal of Environmental Economics and Management, Elsevier, vol. 88(C), pages 159-179.
    6. Okrent, Abigail M. & Alston, Julian M., 2011. "Demand for Food in the United States: A Review of Literature, Evaluation of Previous Estimates, and Presentation of New Estimates of Demand," Monographs, University of California, Davis, Giannini Foundation, number 251908, December.
    7. von Haefen, Roger H., 2010. "Incomplete Demand Systems, Corner Solutions, and Welfare Measurement," Agricultural and Resource Economics Review, Northeastern Agricultural and Resource Economics Association, vol. 39(1), pages 1-15, February.
    8. Werner Antweiler & Daniel Trefler, 2002. "Increasing Returns and All That: A View from Trade," American Economic Review, American Economic Association, vol. 92(1), pages 93-119, March.
    9. Castro, Marisol & Bhat, Chandra R. & Pendyala, Ram M. & Jara-Díaz, Sergio R., 2012. "Accommodating multiple constraints in the multiple discrete–continuous extreme value (MDCEV) choice model," Transportation Research Part B: Methodological, Elsevier, vol. 46(6), pages 729-743.
    10. LaFrance, J. T. & Beatty, T. K. M. & Pope, R. D. & Agnew, G. K., 2002. "Information theoretic measures of the income distribution in food demand," Journal of Econometrics, Elsevier, vol. 107(1-2), pages 235-257, March.
    11. Massimo Bordignon & Di Xiang & Lue Zhan, 2018. "Predicting the Effects of a Sugar Sweetened Beverage Tax in a Household Production Model," DISCE - Working Papers del Dipartimento di Economia e Finanza def075, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    12. LaFrance, Jeffrey T., 2004. "Integrability of the linear approximate almost ideal demand system," Economics Letters, Elsevier, vol. 84(3), pages 297-303, September.
    13. Benkard, C. Lanier & Bajari, Patrick, 2001. "Demand Estimation with Heterogeneous Consumers and Unobserved Product Characteristics: A Hedonic Approach," Research Papers 1691, Stanford University, Graduate School of Business.
    14. Jeffrey Englin & Thomas Holmes & Rebecca Niell, 2006. "Alternative Models of Recreational Off-Highway Vehicle Site Demand," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 35(4), pages 327-338, December.
    15. Fabbri, Daniele & Monfardini, Chiara, 2009. "Rationing the public provision of healthcare in the presence of private supplements: Evidence from the Italian NHS," Journal of Health Economics, Elsevier, vol. 28(2), pages 290-304, March.
    16. Coyle, Barry T., 1990. "A Simple Duality Model Of Production Incorporating Risk Aversion And Price Uncertainty," 1990 Annual meeting, August 5-8, Vancouver, Canada 270863, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    17. Javier A. Birchenall, 2024. "Random choice and market demand," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 57(1), pages 165-198, February.
    18. LaFrance, Jeffrey T., 1999. "An Econometric Model of the Demand for Food and Nutrition," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt2z5516c2, Department of Agricultural & Resource Economics, UC Berkeley.
    19. LaFrance, Jeffrey T., 1999. "U.S. Food and Nutrient Demand and the Effects of Agricultural Policies," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt52h9v4dq, Department of Agricultural & Resource Economics, UC Berkeley.
    20. Zhao, Xueyan & Mullen, John D. & Griffith, Garry R. & Griffiths, William E. & Piggott, Roley R., 2000. "An Equilibrium Displacement Model of the Australian Beef Industry," Research Reports 28007, New South Wales Department of Primary Industries Research Economists.
    21. Hellström, Jörgen & Nordström, Jonas, 2012. "Demand and welfare effects in recreational travel models: Accounting for substitution between number of trips and days to stay," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(3), pages 446-456.
    22. Hellström, Jörgen & Nordström, Jonas, 2005. "Demand and Welfare Effects in Recreational Travel Models: A Bivariate Count Data Approach," Umeå Economic Studies 648, Umeå University, Department of Economics.
    23. Patrick Bajari & C. Lanier Benkard, 2001. "Demand Estimation With Heterogeneous Consumers and Unobserved Product Characteristics: A Hedonic Approach," NBER Technical Working Papers 0272, National Bureau of Economic Research, Inc.
    24. Patrick Bajari & C. Lanier Benkard, 2001. "Demand Estimation With Heterogeneous Consumers and Unobserved Product Characteristics: A Hedonic Approach," Working Papers 01010, Stanford University, Department of Economics.

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