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The geometry of global production and factor price equalisation

  • Ekeland, Ivar
  • Guesnerie, Roger

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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Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 46 (2010)
Issue (Month): 5 (September)
Pages: 666-690

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Handle: RePEc:eee:mateco:v:46:y:2010:i:5:p:666-690
Contact details of provider: Web page: http://www.elsevier.com/locate/jmateco

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  1. 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.
  2. 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.
  3. Kehoe, Timothy J, 1983. "Regularity and Index Theory for Economies with Smooth Production Technologies," Econometrica, Econometric Society, vol. 51(4), pages 895-917, July.
  4. 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 909-35, October.
  5. Kubler, Félix & Chiappori, Pierre-André & Ekeland, Ivar & Polemarchakis, Herades, 2002. "The Identification of Preferences from Equilibrium Prices under Uncertainty," Economics Papers from University Paris Dauphine 123456789/13505, Paris Dauphine University.
  6. 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.
  7. Kubler, Félix & Ekeland, Ivar & Chiappori, Pierre-André & Polemarchakis, Heracles, 1999. "The identification of preferences from equilibrium prices," Economics Papers from University Paris Dauphine 123456789/6360, Paris Dauphine University.
  8. Brown, Donald J & Matzkin, Rosa L, 1996. "Testable Restrictions on the Equilibrium Manifold," Econometrica, Econometric Society, vol. 64(6), pages 1249-62, November.
  9. Richard B. Freeman, 1995. "Are Your Wages Set in Beijing?," Journal of Economic Perspectives, American Economic Association, vol. 9(3), pages 15-32, Summer.
  10. Neary, J Peter, 1985. "Two-by-Two International Trade Theory with Many Goods and Factors," Econometrica, Econometric Society, vol. 53(5), pages 1233-47, September.
  11. 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.
  12. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, March.
  13. Kehoe, Timothy J., 1982. "Regular production economies," Journal of Mathematical Economics, Elsevier, vol. 10(2-3), pages 147-176, September.
  14. Bidard, Christian, 1990. "An Algorithmic Theory of the Choice of Techniques," Econometrica, Econometric Society, vol. 58(4), pages 839-59, July.
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