IDEAS home Printed from https://ideas.repec.org/a/kap/jeczfn/v125y2018i2d10.1007_s00712-018-0597-1.html
   My bibliography  Save this article

Duopoly models with a joint capacity constraint

Author

Listed:
  • Aiyuan Tao

    (Shanghai Lixin University of Accounting and Finance)

  • X. Henry Wang

    (University of Missouri-Columbia)

  • Bill Z. Yang

    (Georgia Southern University)

Abstract

This paper extends two recent models of duopoly with a joint capacity constraint (Nie and Chen in Econ Model 29:1715–1721, 2012; Nie in J Econ 112(3):283–294, 2014) by relaxing their crucial assumption that the game has an equilibrium which is unique and interior. Instead, this paper tackles a more basic issue on when their assumption applies. Our investigation is undertaken by using the best-response curve analysis. Both standard duopoly and mixed duopoly are considered, and both simultaneous moves and sequential moves are investigated. We find that their assumption applies only when the constraint is sufficiently weak, otherwise the equilibrium is either non-unique or corner.

Suggested Citation

  • Aiyuan Tao & X. Henry Wang & Bill Z. Yang, 2018. "Duopoly models with a joint capacity constraint," Journal of Economics, Springer, vol. 125(2), pages 159-172, October.
    • Handle: RePEc:kap:jeczfn:v:125:y:2018:i:2:d:10.1007_s00712-018-0597-1
    DOI: 10.1007/s00712-018-0597-1
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00712-018-0597-1
    File Function: Abstract
    Download Restriction: no
    File URL: https://libkey.io/10.1007/s00712-018-0597-1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Lin Liu & X. Henry Wang & Bill Z. Yang, 2012. "Strategic Choice of Channel Structure in an Oligopoly," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 33(7-8), pages 565-574, October.
    2. Avinash Dixit, 1979. "A Model of Duopoly Suggesting a Theory of Entry Barriers," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 20-32, Spring.
    3. Shapiro, Carl, 1989. "Theories of oligopoly behavior," Handbook of Industrial Organization, in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 1, chapter 6, pages 329-414, Elsevier.
    4. Francisco Facchinei & Christian Kanzow, 2010. "Generalized Nash Equilibrium Problems," Annals of Operations Research, Springer, vol. 175(1), pages 177-211, March.
    5. Nie, Pu-yan & Chen, You-hua, 2012. "Duopoly competitions with capacity constrained input," Economic Modelling, Elsevier, vol. 29(5), pages 1715-1721.
    6. William C. Merrill & Norman Schneider, 1966. "Government Firms in Oligopoly Industries: A Short-Run Analysis," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 80(3), pages 400-412.
    7. Ewerhart, Christian, 2014. "Cournot games with biconcave demand," Games and Economic Behavior, Elsevier, vol. 85(C), pages 37-47.
    8. R. Schmalensee & R. Willig (ed.), 1989. "Handbook of Industrial Organization," Handbook of Industrial Organization, Elsevier, edition 1, volume 2, number 2.
    9. Judy Hsu & X. Wang, 2005. "On Welfare under Cournot and Bertrand Competition in Differentiated Oligopolies," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 27(2), pages 185-191, September.
    10. X. Wang & Bill Yang, 2010. "The sunk-cost effect and optimal two-part pricing," Journal of Economics, Springer, vol. 101(2), pages 133-148, October.
    11. de Fraja, Giovanni & Delbono, Flavio, 1989. "Alternative Strategies of a Public Enterprise in Oligopoly," Oxford Economic Papers, Oxford University Press, vol. 41(2), pages 302-311, April.
    12. R. Schmalensee & R. Willig (ed.), 1989. "Handbook of Industrial Organization," Handbook of Industrial Organization, Elsevier, edition 1, volume 1, number 1.
    13. Pu-yan Nie, 2014. "Effects of capacity constraints on mixed duopoly," Journal of Economics, Springer, vol. 112(3), pages 283-294, July.
    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. Orlando, Giuseppe, 2022. "Simulating heterogeneous corporate dynamics via the Rulkov map," Structural Change and Economic Dynamics, Elsevier, vol. 61(C), pages 32-42.
    2. Nie, Pu-yan & Wang, Chan & Wen, Hong-xing, 2021. "Horizontal mergers under uniform resource constraints," Journal of Retailing and Consumer Services, Elsevier, vol. 63(C).
    3. You-hua Chen & Chan Wang & Pu-yan Nie, 2020. "Emission regulation of conventional energy-intensive industries," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 22(4), pages 3723-3737, April.

    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. Kovác, Eugen & Vinogradov, Viatcheslav & Zigic, Kresimir, 2010. "Technological leadership and persistence of monopoly under endogenous entry: Static versus dynamic analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 34(8), pages 1421-1441, August.
    2. Sun, Qunyan & Zhang, Anming & Li, Jie, 2005. "A study of optimal state shares in mixed oligopoly: Implications for SOE reform and foreign competition," China Economic Review, Elsevier, vol. 16(1), pages 1-27.
    3. James A. Brander & Barbara J. Spencer, 2015. "Endogenous Horizontal Product Differentiation under Bertrand and Cournot Competition: Revisiting the Bertrand Paradox," NBER Working Papers 20966, National Bureau of Economic Research, Inc.
    4. Kováč, Eugen & Žigić, Krešimir, 2016. "Persistence of monopoly, innovation, and R&D spillovers," Research in Economics, Elsevier, vol. 70(4), pages 714-734.
    5. Goo, Moon Mo, 1997. "The measurement of market power: short-run, long-run, and dynamic adjustment models," ISU General Staff Papers 1997010108000012985, Iowa State University, Department of Economics.
    6. Kaplow, Louis & Shapiro, Carl, 2007. "Antitrust," Handbook of Law and Economics, in: A. Mitchell Polinsky & Steven Shavell (ed.), Handbook of Law and Economics, edition 1, volume 2, chapter 15, pages 1073-1225, Elsevier.
    7. Beviá, Carmen & Corchón, Luis C., 2013. "Endogenous strength in conflicts," International Journal of Industrial Organization, Elsevier, vol. 31(3), pages 297-306.
    8. Luís Cabral, 2018. "We’re Number 1: Price Wars for Market Share Leadership," Management Science, INFORMS, vol. 64(5), pages 2013-2030, May.
    9. Jovanovic, Dragan, 2013. "Mergers, managerial incentives, and efficiencies," DICE Discussion Papers 88, Heinrich Heine University Düsseldorf, Düsseldorf Institute for Competition Economics (DICE).
    10. Gupta, Bishnupriya, 1997. "Collusion in the Indian Tea Industry in the Great Depression: An Analysis of Panel Data," Explorations in Economic History, Elsevier, vol. 34(2), pages 155-173, April.
    11. Carl Shapiro, 2001. "Navigating the Patent Thicket: Cross Licenses, Patent Pools, and Standard Setting," NBER Chapters, in: Innovation Policy and the Economy, Volume 1, pages 119-150, National Bureau of Economic Research, Inc.
    12. Kovenock, Dan & Phillips, Gordon M, 1997. "Capital Structure and Product Market Behavior: An Examination of Plant Exit and Investment Decisions," The Review of Financial Studies, Society for Financial Studies, vol. 10(3), pages 767-803.
    13. Herbert Hovenkamp, 2011. "Harm to Competition Under the 2010 Horizontal Merger Guidelines," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 39(1), pages 3-18, August.
    14. Henriques, Irene & Sadorsky, Perry, 2011. "The effect of oil price volatility on strategic investment," Energy Economics, Elsevier, vol. 33(1), pages 79-87, January.
    15. Andrey V. Makarov, 2014. "Comparative Analusis Of Antitrust Policy Against Collusion In Some Transition Economies: Challenges For Effectiveness," HSE Working papers WP BRP 20/PA/2014, National Research University Higher School of Economics.
    16. Allen N. Berger & Astrid A. Dick, 2007. "Entry into Banking Markets and the Early‐Mover Advantage," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(4), pages 775-807, June.
    17. Jingang Zhao, 2009. "Necessary and sufficient conditions for the optimal number of firms," Journal of Economics, Springer, vol. 98(3), pages 235-246, December.
    18. Kenneth Flamm, 1993. "Semiconductor Dependency and Strategic Trade Policy," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 24(1 Microec), pages 249-333.
    19. Boyer, Marcel & Mahenc, Philippe & Moreaux, Michel, 1995. "Entry Blockading Locations," IDEI Working Papers 53, Institut d'Économie Industrielle (IDEI), Toulouse.
    20. Neary, J Peter & Leahy, Dermot, 2000. "Strategic Trade and Industrial Policy towards Dynamic Oligopolies," Economic Journal, Royal Economic Society, vol. 110(463), pages 484-508, April.

    More about this item

    Keywords

    Duopoly; Mixed duopoly; Joint capacity constraint;
    All these keywords.

    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

    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:kap:jeczfn:v:125:y:2018:i:2:d:10.1007_s00712-018-0597-1. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.