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The geometry of global production and factor price equalisation

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  • Ekeland, Ivar
  • Guesnerie, Roger

Abstract

We consider a production economy where commodities are partitioned into K irreproducible factors and L reproducible goods, and the production technologies have constant returns to scale. We examine the geometry of the global production set in the space of commodities, and we derive theorems of non-substitution type. We define the "factors values" of the different goods, we use them to characterize the efficient production plans, and we investigate in detail the relations between the prices of goods and the prices of factors. We show that the prices of factors uniquely determine the prices of goods, and that, generically, equalising the prices of 2K goods equalises the prices of factors.

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  • Ekeland, Ivar & Guesnerie, Roger, 2010. "The geometry of global production and factor price equalisation," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 666-690, September.
    • Handle: RePEc:eee:mateco:v:46:y:2010:i:5:p:666-690
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    1. Ronald Findlay, 1995. "Factor Proportions, Trade, and Growth," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061759, April.
    2. Kevin H. O'Rourke & Jeffrey G. Williamson, 1999. "The Heckscher-Ohlin Model Between 1400 and 2000: When It Explained Factor Price Convergence, When It Did Not, and Why," NBER Working Papers 7411, National Bureau of Economic Research, Inc.
    3. Paul A. Samuelson, 1953. "Prices of Factors and Goods in General Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 21(1), pages 1-20.
    4. Green, Jerry R. & Scheinkman, Josè Alexandre (ed.), 1979. "General Equilibrium, Growth, and Trade," Elsevier Monographs, Elsevier, edition 1, number 9780122987502.
    5. Jones, Ronald W & Scheinkman, Jose A, 1977. "The Relevance of the Two-Sector Production Model in Trade Theory," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 909-935, October.
    6. Kubler, F. & Chiappori, P. -A. & Ekeland, I. & Polemarchakis, H. M., 2002. "The Identification of Preferences from Equilibrium Prices under Uncertainty," Journal of Economic Theory, Elsevier, vol. 102(2), pages 403-420, February.
    7. Donald J. Brown & Rosa L. Matzkin, 2008. "Testable Restrictions on the Equilibrium Manifold," Lecture Notes in Economics and Mathematical Systems, in: Computational Aspects of General Equilibrium Theory, pages 11-25, Springer.
    8. O'Rourke, Kevin H & Taylor, Alan M & Williamson, Jeffrey G, 1996. "Factor Price Convergence in the Late Nineteenth Century," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(3), pages 499-530, August.
    9. Pierre-André Chiappori & Ivar Ekeland & Felix Kübler & Heracles M. Polemarchakis, 1999. "The Identification of Preferences from Equilibrium Prices," Working Papers hal-00598229, HAL.
    10. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    11. Kehoe, Timothy J., 1982. "Regular production economies," Journal of Mathematical Economics, Elsevier, vol. 10(2-3), pages 147-176, September.
    12. Travis, William P, 1972. "Production, Trade, and Protection When There are Many Commodities and Two Factors," American Economic Review, American Economic Association, vol. 62(1), pages 87-106, March.
    13. Ethier, Wilfred J., 1984. "Higher dimensional issues in trade theory," Handbook of International Economics, in: R. W. Jones & P. B. Kenen (ed.), Handbook of International Economics, edition 1, volume 1, chapter 3, pages 131-184, Elsevier.
    14. Kehoe, Timothy J, 1983. "Regularity and Index Theory for Economies with Smooth Production Technologies," Econometrica, Econometric Society, vol. 51(4), pages 895-917, July.
    15. Neary, J Peter, 1985. "Two-by-Two International Trade Theory with Many Goods and Factors," Econometrica, Econometric Society, vol. 53(5), pages 1233-1247, September.
    16. Richard B. Freeman, 1995. "Are Your Wages Set in Beijing?," Journal of Economic Perspectives, American Economic Association, vol. 9(3), pages 15-32, Summer.
    17. Bidard, Christian, 1990. "An Algorithmic Theory of the Choice of Techniques," Econometrica, Econometric Society, vol. 58(4), pages 839-859, July.
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    1. Yoshihara, Naoki & Veneziani, Roberto, 2023. "The general equilibrium effects of localised technological progress: A Classical approach," Journal of Mathematical Economics, Elsevier, vol. 109(C).

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