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N-Firm Oligopoly With General Iso-Elastic Demand

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  • Rodney Beard

Abstract

type="main"> In this note oligopoly with iso-elastic demand is analysed. Unlike previous studies we consider general iso-elastic demand rather than the case of unit elasticity. An n-firm Nash-Cournot equilibrium for the case of heterogeneous constant marginal costs is derived. The main result is a closed-form solution that shows the dependency of the equilibrium on the elasticity of demand and the share of industry costs. The result has applications to a wide range of areas in oligopoly theory by allowing comparisons across markets with different elasticities of demand.

Suggested Citation

  • Rodney Beard, 2015. "N-Firm Oligopoly With General Iso-Elastic Demand," Bulletin of Economic Research, Wiley Blackwell, vol. 67(4), pages 336-345, October.
    • Handle: RePEc:bla:buecrs:v:67:y:2015:i:4:p:336-345
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    1. Farrell, Joseph & Shapiro, Carl, 1988. "Horizontal Mergers: An Equilibrium Analysis," Department of Economics, Working Paper Series qt0tp305nx, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    2. David Collie, 2004. "Collusion and the elasticity of demand," Economics Bulletin, AccessEcon, vol. 12(3), pages 1-6.
    3. Farrell, Joseph & Shapiro, Carl, 1990. "Horizontal Mergers: An Equilibrium Analysis," American Economic Review, American Economic Association, vol. 80(1), pages 107-126, March.
    4. Theodore C. Bergstrom & Hal R. Varian, 1985. "When Are Nash Equilibria Independent of the Distribution of Agents' Characteristics?," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(4), pages 715-718.
    5. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
    6. 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.
    7. Bergstrom, Theodore C. & Varian, Hal R., 1985. "Two remarks on Cournot equilibria," Economics Letters, Elsevier, vol. 19(1), pages 5-8.
    8. repec:bla:econom:v:43:y:1976:i:171:p:267-74 is not listed on IDEAS
    9. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, December.
    10. Bandyopadhyay, Subhayu, 1997. "Demand elasticities, asymmetry and strategic trade policy," Journal of International Economics, Elsevier, vol. 42(1-2), pages 167-177, February.
    11. Novshek, William & Sonnenschein, Hugo, 1978. "Cournot and Walras equilibrium," Journal of Economic Theory, Elsevier, vol. 19(2), pages 223-266, December.
    12. Waterson, Michael, 1980. "Oligopoly and derived demand," Economics Letters, Elsevier, vol. 5(2), pages 115-118.
    13. Tramontana, Fabio, 2010. "Heterogeneous duopoly with isoelastic demand function," Economic Modelling, Elsevier, vol. 27(1), pages 350-357, January.
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    Cited by:

    1. Kamei, Keita, 2014. "International Trade, Unemployment, and Firm Owners in a General Equilibrium with Oligopoly," MPRA Paper 59388, University Library of Munich, Germany.
    2. Domenico De Giovanni & Fabio Lamantia, 2017. "Evolutionary dynamics of a duopoly game with strategic delegation and isoelastic demand," Journal of Evolutionary Economics, Springer, vol. 27(5), pages 877-903, November.
    3. Li, Xiaoliang & Yang, Jing & Zhang, Ally Quan, 2025. "Influence of price elasticity of demand on monopoly games under different returns to scale," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 233(C), pages 75-98.
    4. Fabio Tramontana, 2013. "Information exchange in a Cournot duopoly with nonlinear demand function," DEM Working Papers Series 049, University of Pavia, Department of Economics and Management.
    5. Hernández, Carlos Eduardo & Cantillo-Cleves, Santiago, 2024. "A toolkit for setting and evaluating price floors," Journal of Public Economics, Elsevier, vol. 232(C).
    6. Maxime C. Cohen & Ruben Lobel & Georgia Perakis, 2016. "The Impact of Demand Uncertainty on Consumer Subsidies for Green Technology Adoption," Management Science, INFORMS, vol. 62(5), pages 1235-1258, May.

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