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The Marginal Pricing Rule in Economies with Infinitely Many Commodities

  • Bonnisseau, J.M.

Clarke's normal cone appears as the right tool to define the marginal pricing rule in finite dimensional commodity space since it allows to consider in the same framework convex, smooth as well as nonsmooth nonconvex production sets. Furthermore it has nice continuity and convexity properties. But it is not well adapted for economies with infinitely many commodities since it does satisfy minimal continuity properties. In this paper, we propose an alternative definition of the marginal pricing rule.

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Paper provided by Université Panthéon-Sorbonne (Paris 1) in its series Papiers d'Economie Mathématique et Applications with number 2000.47.

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Length: 22 pages
Date of creation: 2000
Date of revision:
Handle: RePEc:fth:pariem:2000.47
Contact details of provider: Postal: France; Universite de Paris I - Pantheon- Sorbonne, 12 Place de Pantheon-75005 Paris, France
Phone: + 33 44 07 81 00
Fax: + 33 1 44 07 83 01
Web page: http://cermsem.univ-paris1.fr/

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  1. Bonnisseau, J-M & Meddeb, M, 1996. "Existence of Equilibria in Economies with Increasing Returns and Infinitely Many Commodities," Papiers d'Economie Mathématique et Applications 96.09, Université Panthéon-Sorbonne (Paris 1).
  2. Bonnisseau, J.-M. & Cornet, B., 1986. "Existence of equilibria when firms follow bounded losses pricing rules," CORE Discussion Papers 1986007, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Cornet, Bernard, 1988. "Topological properties of the attainable set in a non-convex production economy," Journal of Mathematical Economics, Elsevier, vol. 17(2-3), pages 275-292, April.
  4. Jouini, Elyes, 1989. "A remark on Clarke's normal cone and the marginal cost pricing rule," Journal of Mathematical Economics, Elsevier, vol. 18(1), pages 95-101, February.
  5. Chris Shannon., 1994. "Increasing Returns in Infinite Horizon Economies," Economics Working Papers 94-232, University of California at Berkeley.
  6. BONNISSEAU, Jean-Marc & CORNET, Bernard, . "Valuation equilibrium and Pareto optimum in non-convex economies," CORE Discussion Papers RP -817, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. Cornet, B., 1984. "Existence of equilibria in economies with increasing returns," CORE Discussion Papers 1984007, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Cornet, B., 1986. "The second welfare theorem in nonconvex economies," CORE Discussion Papers 1986030, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  9. Bewley, Truman F., 1972. "Existence of equilibria in economies with infinitely many commodities," Journal of Economic Theory, Elsevier, vol. 4(3), pages 514-540, June.
  10. CORNET, Bernard, 1988. "Marginal cost pricing and Pareto optimality," CORE Discussion Papers 1988037, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  11. Guesnerie, Roger, 1975. "Pareto Optimality in Non-Convex Economies," Econometrica, Econometric Society, vol. 43(1), pages 1-29, January.
  12. Bonnisseau, J.-M. & Cornet, B., 1988. "Existense of marginal cost pricing equilibria: the nonsmooth case," CORE Discussion Papers 1988015, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  13. Jouini, Elyès, 1988. "A remark on Clarke's normal cone and the marginal cost pricing rule," Economics Papers from University Paris Dauphine 123456789/5649, Paris Dauphine University.
  14. BONNISSEAU, Jean-Marc & CORNET, Bernard, . "Existence of marginal cost pricing equilibria in economies with several nonconvex firms," CORE Discussion Papers RP -941, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  15. Khan, M Ali & Vohra, Rajiv, 1987. "An Extension of the Second Welfare Theorem to Economies with Nonconvexities and Public Goods," The Quarterly Journal of Economics, MIT Press, vol. 102(2), pages 223-41, May.
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