IDEAS home Printed from https://ideas.repec.org/a/bla/buecrs/v67y2015i4p336-345.html
   My bibliography  Save this article

N-Firm Oligopoly With General Iso-Elastic Demand

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1111/boer.12009
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    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. Bergstrom, Theodore C. & Varian, Hal R., 1985. "Two remarks on Cournot equilibria," Economics Letters, Elsevier, vol. 19(1), pages 5-8.
    5. David Collie, 2004. "Collusion and the elasticity of demand," Economics Bulletin, AccessEcon, vol. 12(3), pages 1-6.
    6. Cowling, Keith & Waterson, Michael, 1976. "Price-Cost Margins and Market Structure," Economica, London School of Economics and Political Science, vol. 43(171), pages 267-274, August.
    7. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, December.
    8. Bandyopadhyay, Subhayu, 1997. "Demand elasticities, asymmetry and strategic trade policy," Journal of International Economics, Elsevier, vol. 42(1-2), pages 167-177, February.
    9. Novshek, William & Sonnenschein, Hugo, 1978. "Cournot and Walras equilibrium," Journal of Economic Theory, Elsevier, vol. 19(2), pages 223-266, December.
    10. Waterson, Michael, 1980. "Oligopoly and derived demand," Economics Letters, Elsevier, vol. 5(2), pages 115-118.
    11. Tramontana, Fabio, 2010. "Heterogeneous duopoly with isoelastic demand function," Economic Modelling, Elsevier, vol. 27(1), pages 350-357, January.
    12. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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. 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.
    3. 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.
    4. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Long, Ngo Van & Soubeyran, Antoine, 2001. "Cost Manipulation Games in Oligopoly, with Costs of Manipulating," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(2), pages 505-533, May.
    2. Hepburn, Cameron J. & Quah, John K.-H. & Ritz, Robert A., 2013. "Emissions trading with profit-neutral permit allocations," Journal of Public Economics, Elsevier, vol. 98(C), pages 85-99.
    3. Joseph A. Clougherty & Anming Zhang, 2005. "Export orientation and domestic merger policy: theory and some empirical evidence," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 38(3), pages 778-806, August.
    4. Simon Cowan, 2023. "Welfare-increasing monopolization," Economics Series Working Papers 1006, University of Oxford, Department of Economics.
    5. Nils-Henrik Mørch von der Fehr, 1993. "Tradable emission rights and strategic interaction," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 3(2), pages 129-151, April.
    6. José Azar & Xavier Vives, 2021. "General Equilibrium Oligopoly and Ownership Structure," Econometrica, Econometric Society, vol. 89(3), pages 999-1048, May.
    7. Fanti, Luciano & Gori, Luca & Sodini, Mauro, 2015. "Nonlinear dynamics in a Cournot duopoly with isoelastic demand," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 108(C), pages 129-143.
    8. TESORIERE, Antonio, 2005. "Endogenous firm asymmetry and cooperative R&D in linear duopoly with spillovers," LIDAM Discussion Papers CORE 2005086, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. Leahy, Dermot & Neary, J. Peter, 2005. "Symmetric research joint ventures: Cooperative substitutes and complements," International Journal of Industrial Organization, Elsevier, vol. 23(5-6), pages 381-397, June.
    10. Zhang, Anming, 2005. "Competition Models of Strategic Alliances," Research in Transportation Economics, Elsevier, vol. 13(1), pages 75-100, January.
    11. David Mandy & David Sappington, 2007. "Incentives for sabotage in vertically related industries," Journal of Regulatory Economics, Springer, vol. 31(3), pages 235-260, June.
    12. Frank Stähler, 2014. "Partial ownership and cross-border mergers," Journal of Economics, Springer, vol. 111(3), pages 209-237, April.
    13. Park, Jong-Hun & Zhang, Anming & Zhang, Yimin, 2001. "Analytical models of international alliances in the airline industry," Transportation Research Part B: Methodological, Elsevier, vol. 35(9), pages 865-886, November.
    14. Sameh Askar & Abdulaziz Foul & Tarek Mahrous & Saleh Djemele & Emad Ibrahim, 2021. "Global and Local Analysis for a Cournot Duopoly Game with Two Different Objective Functions," Mathematics, MDPI, vol. 9(23), pages 1-14, December.
    15. Askar, S.S., 2022. "Nonlinear dynamic investigations and global analysis of a Cournot duopoly game with two different objectives," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    16. Syropoulos, Constantinos, 1996. "On Pareto-improving voluntary export restraints," International Journal of Industrial Organization, Elsevier, vol. 14(1), pages 71-84.
    17. Holloway, Garth J., 1995. "Conjectural Variations With Fewer Apologies," Working Papers 225880, University of California, Davis, Department of Agricultural and Resource Economics.
    18. Galetovic Alexander & Sanhueza Ricardo, 2009. "Vertical Mergers and Competition with a Regulated Bottleneck Monopoly," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 9(1), pages 1-20, October.
    19. Makoto Tanaka, 2012. "Multi-Sector Model of Tradable Emission Permits," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 51(1), pages 61-77, January.
    20. Patrick Van Cayseele & Andreas Bovin, 2022. "By Object or by Effect? The Collusive Potential of First Refusal Contracts," LICOS Discussion Papers 43022, LICOS - Centre for Institutions and Economic Performance, KU Leuven.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bla:buecrs:v:67:y:2015:i:4:p:336-345. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0307-3378 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.