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Existence of Marginal Cost Pricing Equilibria: The Nonsmooth Case


  • Bonnisseau, Jean-Marc
  • Cornet, Bernard


In this article, the authors report a general existence theorem of a marginal (cost) pricing equilibrium for an economy that may exhibit increasing returns to scale or more general types of nonconvexities in the production sector. Their model considers an arbitrary number of firms and no smoothness assumption is made on the production sets or on the aggregate production set. Copyright 1990 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

Suggested Citation

  • 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.
  • Handle: RePEc:ier:iecrev:v:31:y:1990:i:3:p:685-708

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    References listed on IDEAS

    1. Laffont, Jean-Jacques & Tirole, Jean, 1986. "Using Cost Observation to Regulate Firms," Journal of Political Economy, University of Chicago Press, vol. 94(3), pages 614-641, June.
    2. R. Preston McAfee & John McMillan, 1987. "Competition for Agency Contracts," RAND Journal of Economics, The RAND Corporation, vol. 18(2), pages 296-307, Summer.
    3. Mukesh Eswaran & Ashok Kotwal, 1984. "The Moral Hazard of Budget-Breaking," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 578-581, Winter.
    4. Myerson, Roger B., 1982. "Optimal coordination mechanisms in generalized principal-agent problems," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 67-81, June.
    5. Laffont, Jean-Jacques & Tirole, Jean, 1987. "Auctioning Incentive Contracts," Journal of Political Economy, University of Chicago Press, vol. 95(5), pages 921-937, October.
    6. Bengt Holmstrom, 1982. "Moral Hazard in Teams," Bell Journal of Economics, The RAND Corporation, vol. 13(2), pages 324-340, Autumn.
    7. repec:hoo:wpaper:e-89-27 is not listed on IDEAS
    8. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-631, July.
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    Cited by:

    1. Fuentes, Matías N., 2011. "Existence of equilibria in economies with externalities and non-convexities in an infinite-dimensional commodity space," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 768-776.
    2. Hichem Ben-El-Mechaiekh & Philippe Bich & Monique Florenzano, 2009. "General equilibrium and fixed point theory: a partial survey," Documents de travail du Centre d'Economie de la Sorbonne 09051, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    3. Antonio Villar, 1994. "Existence and efficiency of equilibrium in economics with increasing returns to scale: an exposition," Investigaciones Economicas, Fundación SEPI, vol. 18(2), pages 205-243, May.
    4. Jean-Marc Bonnisseau & Bernard Cornet & Marc-Olivier Czarnecki, 2007. "The marginal pricing rule revisited," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(3), pages 579-589, December.
    5. Acurio Vásconez, Verónica & Giraud, Gaël & Mc Isaac, Florent & Pham, Ngoc-Sang, 2015. "The effects of oil price shocks in a new-Keynesian framework with capital accumulation," Energy Policy, Elsevier, vol. 86(C), pages 844-854.
    6. Jean-Marc Bonnisseau, 2000. "The Marginal Pricing Rule in Economies with Infinitely Many Commodities," Econometric Society World Congress 2000 Contributed Papers 0262, Econometric Society.
    7. David, Laurent & Le Breton, Michel & Merillon, Olivier, 2007. "Kolm as a Contributor to Public Utility Pricing, Second Best Culture and the Theory of Regulation," IDEI Working Papers 490, Institut d'Économie Industrielle (IDEI), Toulouse.
    8. Hans-Jürgen Salchow, 2005. "Non-existence of equilibria with free elimination," Cahiers de la Maison des Sciences Economiques b05057, Université Panthéon-Sorbonne (Paris 1).
    9. J. M. Bonnisseau & A. Jamin, 2008. "Equilibria with Increasing Returns: Sufficient Conditions on Bounded Production Allocations," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(6), pages 1033-1068, December.
    10. 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.
    11. Alexandrine Jamin & Antoine Mandel, 2006. "A general equilibrium analysis of emission allowances," Cahiers de la Maison des Sciences Economiques b06003, Université Panthéon-Sorbonne (Paris 1).
    12. Jean-Marc Bonnisseau & Bernard Cornet, 2006. "Existence of equilibria with a tight marginal," Cahiers de la Maison des Sciences Economiques b06022, Université Panthéon-Sorbonne (Paris 1).
    13. Murty, Sushama, 2010. "Externalities and fundamental nonconvexities: A reconciliation of approaches to general equilibrium externality modeling and implications for decentralization," Journal of Economic Theory, Elsevier, vol. 145(1), pages 331-353, January.
    14. Bonnisseau, J.-M. & Cornet, B., 2008. "Existence of equilibria with a tight marginal pricing rule," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 613-624, July.
    15. repec:hal:journl:halshs-00084002 is not listed on IDEAS
    16. repec:hal:journl:halshs-00435256 is not listed on IDEAS
    17. Moriguchi, Chiaki, 1996. "Two-part marginal cost pricing in a pure fixed cost economy," Journal of Mathematical Economics, Elsevier, vol. 26(3), pages 363-385.
    18. repec:hal:journl:halshs-00423875 is not listed on IDEAS

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