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Existence of Marginal Cost Pricing Equilibria: The Nonsmooth Case

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  • Bonnisseau, Jean-Marc
  • Cornet, Bernard

Abstract

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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    1. 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.
    2. 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.
    3. Bonnisseau Jean-Marc & Jamin Alexandrine, 2011. "The Survival Assumption in Intertemporal Economies," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 11(1), pages 1-18, June.
    4. Jean-Marc Bonnisseau, 2000. "The Marginal Pricing Rule in Economies with Infinitely Many Commodities," Econometric Society World Congress 2000 Contributed Papers 0262, Econometric Society.
    5. Hans-Jürgen Salchow, 2005. "Non-existence of equilibria with free elimination," Cahiers de la Maison des Sciences Economiques b05057, Université Panthéon-Sorbonne (Paris 1).
    6. 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).
    7. Jean-Marc Bonnisseau & Matías Fuentes, 2018. "Market failures and equilibria in Banach lattices," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01960874, HAL.
    8. 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.
    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, 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.
    11. Jean-Marc Bonnisseau & Matías Fuentes, 2020. "Market Failures and Equilibria in Banach Lattices: New Tangent and Normal Cones," Journal of Optimization Theory and Applications, Springer, vol. 184(2), pages 338-367, February.
    12. 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.
    13. Salchow, Hans-Jurgen, 2006. "An essay on the state of economic science," Journal of Mathematical Economics, Elsevier, vol. 42(6), pages 653-660, September.
    14. Alexandrine Jamin & Antoine Mandel, 2006. "A General Equilibrium Analysis of Emission Allowances," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00084002, HAL.
    15. Hichem Ben-El-Mechaiekh & Philippe Bich & Monique Florenzano, 2009. "General equilibrium and fixed-point theory: a partial survey," PSE-Ecole d'économie de Paris (Postprint) hal-00755998, HAL.
    16. 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.
    17. 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.
    18. 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.
    19. 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.
    20. 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.

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