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In Quest of the Slutsky Diamond

Author

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  • de La Grandville, Olivier

Abstract

The Slutsky equation can be constructed as a parallelogram (a diamond), the area of which is proportional to the elasticity of substitution. This construction permits to show immediately that demand functions become concave on an interval if the elasticity of substitution increases sufficiently. Also, the diamond sheds light on the fact that the production level increases with the elasticity of substitution. As an application, the author shows that the elasticity of substitution has a direct bearing not only on the rate of growth of an economy, but also on the very existence of sustained growth. Copyright 1989 by American Economic Association.

Suggested Citation

  • de La Grandville, Olivier, 1989. "In Quest of the Slutsky Diamond," American Economic Review, American Economic Association, vol. 79(3), pages 468-481, June.
  • Handle: RePEc:aea:aecrev:v:79:y:1989:i:3:p:468-81
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    Cited by:

    1. Chris Papageorgiou & Kaz Miyagiwa, 2003. "The Elasticity of Substitution, Hicks' Conjectures, and Economic Growth," Departmental Working Papers 2003-08, Department of Economics, Louisiana State University.
    2. Miyagiwa, Kaz & Papageorgiou, Chris, 2007. "Endogenous aggregate elasticity of substitution," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 2899-2919, September.
    3. Irmen, Andreas, 2011. "Steady-state growth and the elasticity of substitution," Journal of Economic Dynamics and Control, Elsevier, vol. 35(8), pages 1215-1228, August.
    4. Chirinko, Robert S., 2008. "[sigma]: The long and short of it," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 671-686, June.
    5. Gómez, Manuel A., 2015. "Capital–labor substitution and long-run growth in a model with physical and human capital," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 106-113.
    6. Andreas Irmen & Rainer Klump, 2009. "Factor Substitution, Income Distribution and Growth in a Generalized Neoclassical Model," German Economic Review, Verein für Socialpolitik, vol. 10, pages 464-479, November.
    7. Jakub Growiec, 2008. "A new class of production functions and an argument against purely labor-augmenting technical change," International Journal of Economic Theory, The International Society for Economic Theory, vol. 4(4), pages 483-502.
    8. Pieretti, Patrice & Zou, Benteng, 2009. "Brain drain and factor complementarity," Economic Modelling, Elsevier, vol. 26(2), pages 404-413, March.
    9. André Mollick, 2011. "The world elasticity of labor substitution across education levels," Empirical Economics, Springer, vol. 41(3), pages 769-785, December.
    10. Al-Mutairi, Naief & Burney, Nadeem A., 2002. "Factor substitution, and economies of scale and utilisation in Kuwait's crude oil industry," Energy Economics, Elsevier, vol. 24(4), pages 337-354, July.
    11. Growiec, Jakub, 2013. "A microfoundation for normalized CES production functions with factor-augmenting technical change," Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2336-2350.
    12. Xue, Jianpo & Yip, Chong K., 2013. "Aggregate elasticity of substitution and economic growth: A synthesis," Journal of Macroeconomics, Elsevier, vol. 38(PA), pages 60-75.
    13. Dupuy, Arnaud & de Grip, Andries, 2006. "Elasticity of substitution and productivity, capital and skill intensity differences across firms," Economics Letters, Elsevier, vol. 90(3), pages 340-347, March.
    14. Mallick, Debdulal, 2012. "The role of the elasticity of substitution in economic growth: A cross-country investigation," Labour Economics, Elsevier, vol. 19(5), pages 682-694.
    15. Nakamura, Hideki, 2009. "Micro-foundation for a constant elasticity of substitution production function through mechanization," Journal of Macroeconomics, Elsevier, vol. 31(3), pages 464-472, September.
    16. repec:eee:dyncon:v:87:y:2018:i:c:p:74-93 is not listed on IDEAS
    17. Growiec, Jakub & Schumacher, Ingmar, 2008. "On technical change in the elasticities of resource inputs," Resources Policy, Elsevier, vol. 33(4), pages 210-221, December.
    18. Dupuy, Arnaud & Marey, Philip S., 2008. "Shifts and twists in the relative productivity of skilled labor," Journal of Macroeconomics, Elsevier, vol. 30(2), pages 718-735, June.
    19. Growiec, Jakub & McAdam, Peter & Mućk, Jakub, 2018. "Endogenous labor share cycles: Theory and evidence," Journal of Economic Dynamics and Control, Elsevier, vol. 87(C), pages 74-93.
    20. Wong, Tsz-Nga & Yip, Chong K., 2010. "Indeterminacy and the elasticity of substitution in one-sector models," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 623-635, April.
    21. Shao, Shuai & Yang, Lili, 2014. "Natural resource dependence, human capital accumulation, and economic growth: A combined explanation for the resource curse and the resource blessing," Energy Policy, Elsevier, vol. 74(C), pages 632-642.
    22. Mallick, Debdulal, 2010. "Capital-labor substitution and balanced growth," Journal of Macroeconomics, Elsevier, vol. 32(4), pages 1131-1142, December.

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