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Unconditional Elasticities in Two-Stage Demand Systems: An Approximate Solution

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  • Alain Carpentier
  • Hervé Guyomard

Abstract

Two-stage budgeting postulates that the consumer's utility maximization decision can be decomposed into two steps. In the first stage, total expenditure is allocated over broad groups of goods. In the second stage, group expenditures are allocated over elementary commodities. In this article, we assume that the current weighted true cost-of-living price indices defined for each broad group of elementary commodities vary only very slightly with sub-utility levels. Hence, it is possible to approximate the first stage of a two-stage budgeting structure by a maximization problem involving a single price index and a single quantity index for each of the broad groups. Relationships between conditional and unconditional expenditure and price elasticities are derived within this context. Copyright 2001, Oxford University Press.

Suggested Citation

  • Alain Carpentier & Hervé Guyomard, 2001. "Unconditional Elasticities in Two-Stage Demand Systems: An Approximate Solution," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 83(1), pages 222-229.
  • Handle: RePEc:oup:ajagec:v:83:y:2001:i:1:p:222-229
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    File URL: http://hdl.handle.net/10.1111/0002-9092.00149
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    1. Jerry R. Skees & J. Roy Black & Barry J. Barnett, 1997. "Designing and Rating an Area Yield Crop Insurance Contract," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 79(2), pages 430-438.
    2. Joseph W. Glauber, 2004. "Crop Insurance Reconsidered," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 86(5), pages 1179-1195.
    3. Haiping Luo & Jerry R. Skees & Mary A. Marchant, 1994. "Weather Information and the Potential for Intertemporal Adverse Selection in Crop Insurance," Review of Agricultural Economics, Agricultural and Applied Economics Association, vol. 16(3), pages 441-451.
    4. Mason, Chuck & Hayes, Dermot J. & Lence, Sergio H, 2003. "Systemic risk in U.S. crop reinsurance programs," ISU General Staff Papers 200304010800001293, Iowa State University, Department of Economics.
    5. Mario J. Miranda & Joseph W. Glauber, 1997. "Systemic Risk, Reinsurance, and the Failure of Crop Insurance Markets," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 79(1), pages 206-215.
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