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On Interpreting Inverse Demand Systems: A Primal Comparison of Scale Flexibilities and Income Elasticities

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  • Hoanjae Park
  • Walter N. Thurman

Abstract

Scale flexibilities in inverse demand systems describe how marginal valuations change with expansions in the consumption bundle. Such effects clearly are related to income elasticities in direct demand systems. However, the connection is not so close as it first appears. We argue that the link between scale flexibilities and income elasticities is tight only if preferences are homothetic, a situation where neither measure is interesting, or if all elasticities of substitution are unitary. We make clear the relationship between the two measures in a coordinate system focusing on how marginal rates of substitution change with consumption scale and proportion. Copyright 1999, Oxford University Press.

Suggested Citation

  • Hoanjae Park & Walter N. Thurman, 1999. "On Interpreting Inverse Demand Systems: A Primal Comparison of Scale Flexibilities and Income Elasticities," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 81(4), pages 950-958.
    • Handle: RePEc:oup:ajagec:v:81:y:1999:i:4:p:950-958
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    Cited by:

    1. Daniele Moro & Paolo Sckokai, 2002. "Functional separability within a quadratic inverse demand system," Applied Economics, Taylor & Francis Journals, vol. 34(3), pages 285-293.
    2. Luke, Jaime R. & Tonsor, Glynn T. & Brown, D. Scott, 2024. "Wholesale pork demand: Understanding primal-level heterogeneity," Journal of Commodity Markets, Elsevier, vol. 34(C).
    3. Robert H. Beach & Matthew T. Holt, 2001. "Incorporating Quadratic Scale Curves in Inverse Demand Systems," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 83(1), pages 230-245.
    4. Sean Pascoe & Peggy Schrobback & Eriko Hoshino & Robert Curtotti, 2023. "Impact of changes in imports and farmed salmon on wild-caught fish prices in Australia," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 50(2), pages 335-359.
    5. Goodwin, Barry K. & Harper, Daniel & Schnepf, Randy, 2003. "Short-Run Demand Relationships in the U.S. Fats and Oils Complex," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 35(1), pages 171-184, April.
    6. Crawford, Gregory S. & Deer, Lachlan & Smith, Jeremy & Sturgeon, Paul, 2017. "The Regulation of Public Service Broadcasters : Should there be more advertising on television?," Economic Research Papers 269092, University of Warwick - Department of Economics.
    7. Asche, Frank & Zhang, Dengjun, 2013. "Testing Structural Changes in the U.S. Whitefish Import Market: An Inverse Demand System Approach," Agricultural and Resource Economics Review, Cambridge University Press, vol. 42(3), pages 453-470, December.
    8. Chin-Hwa Jenny Sun & Fu-Sung Chiang & Patrice Guillotreau & Dale Squires, 2015. "Fewer Fish for Higher Profits? Price Response and Economic Incentives in Global Tuna Fisheries Management," Working Papers hal-01110771, HAL.
    9. Hoanjae Park, 2004. "On inferring individual behaviour from market behaviour in a predetermined quantities model," Applied Economics, Taylor & Francis Journals, vol. 36(7), pages 715-721.
    10. Peguero, Felipe & Kennedy, P. Lynn & Zapata, Hector O., 2018. "A Generalized Dynamic Inverse AIDS Model for Fresh Fruits and Vegetables: An Application to the U.S. Bell Pepper Industry," 2018 Annual Meeting, February 2-6, 2018, Jacksonville, Florida 266686, Southern Agricultural Economics Association.
    11. Jason H. Grant & Dayton M. Lambert & Kenneth A. Foster, 2010. "A Seasonal Inverse Almost Ideal Demand System for North American Fresh Tomatoes," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 58(2), pages 215-234, June.
    12. Huang, Pei, 2014. "An Inverse Demand System for Blue Crab in the Chesapeake Bay: Endogeneity and Seasonality," 2014 Annual Meeting, July 27-29, 2014, Minneapolis, Minnesota 169827, Agricultural and Applied Economics Association.
    13. Gary Wong & Qiao Yu, 2001. "Inverse Demand Systems for Composite Liquid Assets: Evidence from China," School of Economics and Finance Discussion Papers and Working Papers Series 097, School of Economics and Finance, Queensland University of Technology.
    14. Eric Sjöberg, 2015. "Pricing on the Fish Market--Does Size Matter?," Marine Resource Economics, University of Chicago Press, vol. 30(3), pages 277-296.
    15. Chris Moore & Charles Griffiths, 2018. "Welfare analysis in a two-stage inverse demand model: an application to harvest changes in the Chesapeake Bay," Empirical Economics, Springer, vol. 55(3), pages 1181-1206, November.
    16. C. Carter & S. Mohapatra, 2013. "Inventories and antidumping: the case of orange juice trade," Empirical Economics, Springer, vol. 45(1), pages 247-266, August.
    17. Nti, Frank Kyekyeku, 2016. "Nafta At 21: Structural Change In Mexican’S Demand For U.S. Meat And Meat Products," International Journal of Food and Agricultural Economics (IJFAEC), Alanya Alaaddin Keykubat University, Department of Economics and Finance, vol. 4(4), pages 1-10, October.
    18. Chin-Hwa Sun & Fu-Sung Chiang & Dale Squires & Anthony Rogers & Man-Ser Jan, 2019. "More landings for higher profit? Inverse demand analysis of the bluefin tuna auction price in Japan and economic incentives in global bluefin tuna fisheries management," PLOS ONE, Public Library of Science, vol. 14(8), pages 1-27, August.
    19. Keith R. McLaren & K. K. Gary Wong, 2009. "The Benefit Function Approach to Modeling Price-Dependent Demand Systems: An Application of Duality Theory," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 91(4), pages 1110-1123.
    20. Suh, Dong Hee & Guan, Zhengfei & Khachatryan, Hayk, 2017. "The impact of Mexican competition on the U.S. strawberry industry," International Food and Agribusiness Management Review, International Food and Agribusiness Management Association, vol. 20(4), April.

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