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The Marginal Pricing Rule in Economies with Infinitely Many Commodities

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  • Bonnisseau, J.M.

Abstract

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.

Suggested Citation

  • Bonnisseau, J.M., 2000. "The Marginal Pricing Rule in Economies with Infinitely Many Commodities," Papiers d'Economie Mathématique et Applications 2000.47, Université Panthéon-Sorbonne (Paris 1).
    • Handle: RePEc:fth:pariem:2000.47
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    References listed on IDEAS

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    1. Chris Shannon., 1994. "Increasing Returns in Infinite Horizon Economies," Economics Working Papers 94-232, University of California at Berkeley.
    2. Cornet, B., 1984. "Existence of equilibria in economies with increasing returns," LIDAM Discussion Papers CORE 1984007, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Bonnisseau, Jean-Marc & Cornet, Bernard, 1988. "Valuation equilibrium and pareto optimum in non-convex economies," Journal of Mathematical Economics, Elsevier, vol. 17(2-3), pages 293-308, April.
    4. Bonnisseau, Jean-Marc & Meddeb, Moncef, 1999. "Existence of equilibria in economies with increasing returns and infinitely many commodities," Journal of Mathematical Economics, Elsevier, vol. 31(3), pages 287-307, April.
    5. 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.
    6. Bonnisseau, Jean-Marc & Cornet, Bernard, 1988. "Existence of equilibria when firms follow bounded losses pricing rules," Journal of Mathematical Economics, Elsevier, vol. 17(2-3), pages 119-147, April.
    7. M. Ali Khan & Rajiv Vohra, 1987. "An Extension of the Second Welfare Theorem to Economies with Nonconvexities and Public Goods," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(2), pages 223-241.
    8. repec:dau:papers:123456789/5649 is not listed on IDEAS
    9. Bonnisseau, Jean-Marc & Cornet, Bernard, 1990. "Existence of Marginal Cost Pricing Equilibria in Economies with Several Nonconvex Firms," Econometrica, Econometric Society, vol. 58(3), pages 661-682, May.
    10. CORNET, Bernard, 1988. "Marginal cost pricing and Pareto optimality," LIDAM Discussion Papers CORE 1988037, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. Bonnisseau, Jean-Marc & Cornet, Bernard, 1990. "Existence of Marginal Cost Pricing Equilibria: The Nonsmooth Case," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(3), pages 685-708, August.
    12. Guesnerie, Roger, 1975. "Pareto Optimality in Non-Convex Economies," Econometrica, Econometric Society, vol. 43(1), pages 1-29, January.
    13. Kamiya, Kazuya, 1988. "On the survival assumption in marginal (cost) pricing," Journal of Mathematical Economics, Elsevier, vol. 17(2-3), pages 261-273, April.
    14. Cornet, B., 1986. "The second welfare theorem in nonconvex economies," LIDAM Discussion Papers CORE 1986030, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    15. 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.
    16. Beato, Paulina & Mas-Colell, Andreu, 1985. "On marginal cost pricing with given tax-subsidy rules," Journal of Economic Theory, Elsevier, vol. 37(2), pages 356-365, December.
    17. 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.
    18. BEWLEY, Truman F., 1972. "Existence of equilibria in economies with infinitely many commodities," LIDAM Reprints CORE 122, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    19. Chris Shannon, 1997. "Increasing Returns in Infinite-Horizon Economies," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 64(1), pages 73-96.
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    Cited by:

    1. M. Ali Khan, 2007. "Perfect Competition," PIDE-Working Papers 2007:15, Pakistan Institute of Development Economics.

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    More about this item

    Keywords

    ECONOMIC EQUILIBRIUM ; PRICING ; COMMODITIES;
    All these keywords.

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D59 - Microeconomics - - General Equilibrium and Disequilibrium - - - Other

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