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An index formula for production economies with externalities

  • Mandel, Antoine

We prove that the degree of the equilibrium correspondence of an economy with increasing returns and external effects is equal to (-1)L-1 where L is the dimension of the space of goods. This allows us to infer existence, finiteness and uniqueness results.

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

Volume (Year): 44 (2008)
Issue (Month): 12 (December)
Pages: 1385-1397

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Handle: RePEc:eee:mateco:v:44:y:2008:i:12:p:1385-1397
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  1. Bonnisseau, J.M. & Medecin, J.-P., 2000. "Existence of Marginal Pricing Equilibria in Economies with Externalities and Non Convexities," Papiers d'Economie Mathématique et Applications 2000.84, Université Panthéon-Sorbonne (Paris 1).
  2. Monique Florenzano, 2008. "General equilibrium," Documents de travail du Centre d'Economie de la Sorbonne b08005, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
  3. Jean-Marc Bonnisseau, 1997. "Existence of Equilibria in Economies with Externalities and Nonconvexities," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00176205, HAL.
  4. Mas-Colell,Andreu, 1985. "The Theory of General Economic Equilibrium," Cambridge Books, Cambridge University Press, number 9780521265140.
  5. Bonnisseau, Jean-Marc, 2003. "Regular economies with non-ordered preferences," Journal of Mathematical Economics, Elsevier, vol. 39(3-4), pages 153-174, June.
  6. Jean-Marc Bonnisseau & Bernard Cornet, 1988. "Existence of equilibria when firms follow bounded losses pricing rules," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00187223, HAL.
  7. Jean-Marc Bonnisseau, 1992. "Existence of equilibria in the presence of increasing returns : A synthesis," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00187222, HAL.
  8. GIRAUD, Gaël, 2000. "An algebraic index theorem for non-smooth economies," CORE Discussion Papers 2000016, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  9. Jouini, Elyès, 1992. "An index theorem for nonconvex production economies," Economics Papers from University Paris Dauphine 123456789/5638, Paris Dauphine University.
  10. Starrett, David A., 1972. "Fundamental nonconvexities in the theory of externalities," Journal of Economic Theory, Elsevier, vol. 4(2), pages 180-199, April.
  11. del Mercato, Elena L., 2006. "Existence of competitive equilibria with externalities: A differential viewpoint," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 525-543, August.
  12. Dierker, Egbert, 1993. "Regular economies," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 17, pages 795-830 Elsevier.
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