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Aggregation with Cournot competition: the Le Chatelier Samuelson principle

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  • Koebel, Bertrand
  • François, Laisney

Abstract

This paper studies the aggregate substitution and expansion effects triggered by changes in input prices in a context where firms supply a homogeneous commodity and compete in quantities à la Cournot. We derive a sufficient condition for the existence of a Cournot equilibrium and show that this condition also ensures that the Le Chatelier-Samuelson principle is satisfied in the aggregate at the Cournot equilibrium, although it may not be satisfied at the firm level.

Suggested Citation

  • Koebel, Bertrand & François, Laisney, 2014. "Aggregation with Cournot competition: the Le Chatelier Samuelson principle," MPRA Paper 60476, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:60476
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    References listed on IDEAS

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    1. William Novshek, 1985. "On the Existence of Cournot Equilibrium," Review of Economic Studies, Oxford University Press, vol. 52(1), pages 85-98.
    2. Szidarovszky, F & Yakowitz, S, 1977. "A New Proof of the Existence and Uniqueness of the Cournot Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(3), pages 787-789, October.
    3. Heiner, Ronald A, 1982. "Theory of the Firm in "Short-Run" Industry Equilibrium," American Economic Review, American Economic Association, vol. 72(3), pages 555-562, June.
    4. Fevrier, Philippe & Linnemer, Laurent, 2004. "Idiosyncratic shocks in an asymmetric Cournot oligopoly," International Journal of Industrial Organization, Elsevier, vol. 22(6), pages 835-848, June.
    5. Sakai, Yasuhiro, 1973. "An Axiomatic Approach to Input Demand Theory," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(3), pages 735-752, October.
    6. Eichhorn, Wolfgang & Oettli, Werner, 1972. "A General Formulation of the Lechatelier-Samuelson Principle," Econometrica, Econometric Society, vol. 40(4), pages 711-717, July.
    7. Koebel, Bertrand M. & Laisney, François, 2010. "The aggregate Le Chatelier Samuelson principle with Cournot competition," ZEW Discussion Papers 10-009, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
    8. Sunanda Roy & Tarun Sabarwal, 2008. "On the (non-)lattice structure of the equilibrium set in games with strategic substitutes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(1), pages 161-169, October.
    9. W. E. Diewert, 1981. "The Elasticity of Derived Net Supply and a Generalized Le Chatelier Principle," Review of Economic Studies, Oxford University Press, vol. 48(1), pages 63-80.
    10. Roy, Sunanda & Sabarwal, Tarun, 2010. "Monotone comparative statics for games with strategic substitutes," Journal of Mathematical Economics, Elsevier, vol. 46(5), pages 793-806, September.
    11. Appelbaum, Elie, 1982. "The estimation of the degree of oligopoly power," Journal of Econometrics, Elsevier, vol. 19(2-3), pages 287-299, August.
    12. Amir, Rabah, 1996. "Cournot Oligopoly and the Theory of Supermodular Games," Games and Economic Behavior, Elsevier, vol. 15(2), pages 132-148, August.
    13. Milgrom, Paul & Roberts, John, 1996. "The LeChatelier Principle," American Economic Review, American Economic Association, vol. 86(1), pages 173-179, March.
    14. Dixit, Avinash K, 1986. "Comparative Statics for Oligopoly," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(1), pages 107-122, February.
    15. Hoernig, Steffen H., 2003. "Existence of equilibrium and comparative statics in differentiated goods Cournot oligopolies," International Journal of Industrial Organization, Elsevier, vol. 21(7), pages 989-1019, September.
    16. Braulke, Michael, 1984. "The Firm in Short-run Industry Equilibrium: Comment," American Economic Review, American Economic Association, vol. 74(4), pages 750-753, September.
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    Cited by:

    1. Bertrand Koebel & François Laisney, 2016. "Aggregation with Cournot Competition: An Empirical Investigation," Annals of Economics and Statistics, GENES, issue 121-122, pages 91-119.

    More about this item

    Keywords

    Aggregation; returns to scale; market power; markup; own-price elasticity.;

    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection

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