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The geometry of global production and factor price equalisation

  • Ivar Ekeland

    (Canada Research Chair in Mathematical Economics - University of British Columbia)

  • Roger Guesnerie

    (CDF - Collège de France - Collège de France, PSE - Paris-Jourdan Sciences Economiques - CNRS : UMR8545 - École des Hautes Études en Sciences Sociales (EHESS) - École des Ponts ParisTech (ENPC) - École normale supérieure [ENS] - Paris)

We consider a production economy where commodities are partitioned into irreproducible factors and reproducible goods, and the production technologies have constant returns to scale. We examine the geometry of the efficient frontier of the global production set and derive theorems of nonsubstitution type. We complement the geometric viewpoint by an algebraic characterization of the efficient frontier, that put emphasis on the "factors values" of goods. We analyse the connections between the prices of goods and the prices of factors. In particular, we show that if the number of goods is at least twice as large as the number of factors, then, generically, the prices of goods uniquely determine the prices of factors.

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Paper provided by HAL in its series PSE Working Papers with number halshs-00589105.

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Date of creation: Dec 2006
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Handle: RePEc:hal:psewpa:halshs-00589105
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  1. POLEMARCHAKIS, Heracles M. & CHIAPPORI, P. A. & KUBLER, F. & EKELAND, I., 2000. "The identification of preferences from equilibrium prices under uncertainty," Les Cahiers de Recherche 689, HEC Paris.
  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., 1982. "Regular production economies," Journal of Mathematical Economics, Elsevier, vol. 10(2-3), pages 147-176, September.
  4. 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.
  5. Bidard, Christian, 1990. "An Algorithmic Theory of the Choice of Techniques," Econometrica, Econometric Society, vol. 58(4), pages 839-59, July.
  6. Kehoe, Timothy J, 1983. "Regularity and Index Theory for Economies with Smooth Production Technologies," Econometrica, Econometric Society, vol. 51(4), pages 895-917, July.
  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. 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.
  9. 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.
  10. 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.
  11. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, March.
  12. 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.
  13. Brown, Donald J & Matzkin, Rosa L, 1996. "Testable Restrictions on the Equilibrium Manifold," Econometrica, Econometric Society, vol. 64(6), pages 1249-62, November.
  14. Richard B. Freeman, 1995. "Are Your Wages Set in Beijing?," Journal of Economic Perspectives, American Economic Association, vol. 9(3), pages 15-32, Summer.
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