IDEAS home Printed from https://ideas.repec.org/a/kap/jeczfn/v119y2016i3d10.1007_s00712-016-0486-4.html
   My bibliography  Save this article

A Bertrand–Edgeworth oligopoly with a public firm

Author

Listed:
  • Zoltán Rácz

    (Institute for Advanced Studies)

  • Attila Tasnádi

    (Corvinus University of Budapest)

Abstract

We determine conditions under which a pure-strategy equilibrium of a mixed Bertrand–Edgeworth oligopoly exists. In addition, we determine its pure-strategy equilibrium whenever it exists and compare the equilibrium outcome with that of the standard Bertrand–Edgeworth oligopoly with only private firms.

Suggested Citation

  • Zoltán Rácz & Attila Tasnádi, 2016. "A Bertrand–Edgeworth oligopoly with a public firm," Journal of Economics, Springer, vol. 119(3), pages 253-266, November.
    • Handle: RePEc:kap:jeczfn:v:119:y:2016:i:3:d:10.1007_s00712-016-0486-4
    DOI: 10.1007/s00712-016-0486-4
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00712-016-0486-4
    File Function: Abstract
    Download Restriction: no
    File URL: https://libkey.io/10.1007/s00712-016-0486-4?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
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Anderson, Simon P. & de Palma, Andre & Thisse, Jacques-Francois, 1997. "Privatization and efficiency in a differentiated industry," European Economic Review, Elsevier, vol. 41(9), pages 1635-1654, December.
    2. Carl Davidson & Raymond Deneckere, 1986. "Long-Run Competition in Capacity, Short-Run Competition in Price, and the Cournot Model," RAND Journal of Economics, The RAND Corporation, vol. 17(3), pages 404-415, Autumn.
    3. Matsumura, Toshihiro & Okumura, Yasunori, 2013. "Privatization neutrality theorem revisited," Economics Letters, Elsevier, vol. 118(2), pages 324-326.
    4. Emmanuel Dechenaux & Dan Kovenock, 2011. "Endogenous rationing, price dispersion and collusion in capacity constrained supergames," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(1), pages 29-74, May.
    5. De Francesco, Massimo A. & Salvadori, Neri, 2008. "Bertrand-Edgeworth games under oligopoly with a complete characterization for the triopoly," MPRA Paper 10767, University Library of Munich, Germany, revised 26 Sep 2008.
    6. Corneo, Giacomo & Jeanne, Olivier, 1993. "Feasibility of predatory pricing in a capacity-constrained duopoly," Ricerche Economiche, Elsevier, vol. 47(4), pages 355-361, December.
    7. Emmanuel Dechenaux & Dan Kovenock, 2007. "Tacit collusion and capacity withholding in repeated uniform price auctions," RAND Journal of Economics, RAND Corporation, vol. 38(4), pages 1044-1069, December.
    8. Cremer, Helmuth & Marchand, Maurice & Thisse, Jacques-Francois, 1989. "The Public Firm as an Instrument for Regulating an Oligopolistic Market," Oxford Economic Papers, Oxford University Press, vol. 41(2), pages 283-301, April.
    9. Stefano Colombo, 2016. "Mixed oligopolies and collusion," Journal of Economics, Springer, vol. 118(2), pages 167-184, June.
    10. Tamás Balogh & Attila Tasnádi, 2012. "Does timing of decisions in a mixed duopoly matter?," Journal of Economics, Springer, vol. 106(3), pages 233-249, July.
    11. Cremer, Helmuth & Marchand, Maurice & Thisse, Jacques-Francois, 1991. "Mixed oligopoly with differentiated products," International Journal of Industrial Organization, Elsevier, vol. 9(1), pages 43-53, March.
    12. Vives, Xavier, 1986. "Rationing rules and Bertrand-Edgeworth equilibria in large markets," Economics Letters, Elsevier, vol. 21(2), pages 113-116.
    13. De Francesco, Massimo A. & Salvadori, Neri, 2015. "Bertrand-Edgeworth games under triopoly: the payoffs," MPRA Paper 64638, University Library of Munich, Germany.
    14. Wolfstetter,Elmar, 2000. "Topics in Microeconomics," Cambridge Books, Cambridge University Press, number 9780521645348.
    15. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, II: Applications," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(1), pages 27-41.
    16. Juan Bárcena-Ruiz, 2007. "Endogenous Timing in a Mixed Duopoly: Price Competition," Journal of Economics, Springer, vol. 91(3), pages 263-272, July.
    17. Hirata Daisuke, 2009. "Asymmetric Bertrand-Edgeworth Oligopoly and Mergers," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-25, July.
    18. 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.
    19. Pu-yan Nie, 2014. "Effects of capacity constraints on mixed duopoly," Journal of Economics, Springer, vol. 112(3), pages 283-294, July.
    20. Richard G. Harris & Elmer G. Wiens, 1980. "Government Enterprise: An Instrument for the Internal Regulation of Industry," Canadian Journal of Economics, Canadian Economics Association, vol. 13(1), pages 125-132, February.
    21. David M. Kreps & Jose A. Scheinkman, 1983. "Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 326-337, Autumn.
    Full references (including those not matched with items on IDEAS)

    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. Tamás Balogh & Attila Tasnádi, 2012. "Does timing of decisions in a mixed duopoly matter?," Journal of Economics, Springer, vol. 106(3), pages 233-249, July.
    2. Barna Bakó & Attila Tasnádi, 2017. "The Kreps-Scheinkman Game in Mixed Duopolies," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 173(4), pages 753-768, December.
    3. De Francesco, Massimo A. & Salvadori, Neri, 2016. "Bertrand-Edgeworth games under triopoly: the equilibrium strategies when the payoffs of the two smallest firms are proportional to their capacities," MPRA Paper 69999, University Library of Munich, Germany.
    4. De Francesco, Massimo A. & Salvadori, Neri, 2015. "Bertrand-Edgeworth games under triopoly: the payoffs," MPRA Paper 64638, University Library of Munich, Germany.
    5. Attila Tasnádi, 2016. "Endogenous timing of moves in Bertrand–Edgeworth triopolies," International Journal of Economic Theory, The International Society for Economic Theory, vol. 12(4), pages 317-334, December.
    6. Tasnádi, Attila & Bakó, Barna, 2014. "A Kreps-Scheinkman-állítás érvényessége lineáris keresletű vegyes duopóliumok esetén [The Kreps and Scheinkman result remains valid for mixed duopolies with linear demand]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(5), pages 533-543.
    7. Massimo A. De Francesco & Neri Salvadori, 2022. "Bertrand–Edgeworth oligopoly: Characterization of mixed strategy equilibria when some firms are large and the others are small," Metroeconomica, Wiley Blackwell, vol. 73(3), pages 803-824, July.
    8. Massimo A. Francesco, 2014. "A Dynamic Entry And Price Game With Capacity Indivisibility," Bulletin of Economic Research, Wiley Blackwell, vol. 66(4), pages 406-419, October.
    9. Jacobs, Martin & Requate, Till, 2016. "Bertrand-Edgeworth markets with increasing marginal costs and voluntary trading: Experimental evidence," Economics Working Papers 2016-01, Christian-Albrechts-University of Kiel, Department of Economics.
    10. Victor Martínez-de-Albéniz & Kalyan Talluri, 2011. "Dynamic Price Competition with Fixed Capacities," Management Science, INFORMS, vol. 57(6), pages 1078-1093, June.
    11. Allison, Blake A. & Lepore, Jason J., 2014. "Verifying payoff security in the mixed extension of discontinuous games," Journal of Economic Theory, Elsevier, vol. 152(C), pages 291-303.
    12. João Correia-da-Silva & Joana Pinho, 2018. "Collusion in mixed oligopolies and the coordinated effects of privatization," Journal of Economics, Springer, vol. 124(1), pages 19-55, May.
    13. Juan Carlos Bárcena-Ruiz & María Begoña Garzón, 2020. "Partial privatization in an international mixed oligopoly under product differentiation," Journal of Economics, Springer, vol. 131(1), pages 77-100, September.
    14. Massimo A. De Francesco & Neri Salvadori, 2013. "Bertrand-Edgeworth Competition in an Almost Symmetric Oligopoly," Studies in Microeconomics, , vol. 1(2), pages 213-219, December.
    15. De Francesco, Massimo A. & Salvadori, Neri, 2023. "Bertrand-Edgeworth game under oligopoly. General results and comparisons with duopoly," MPRA Paper 118237, University Library of Munich, Germany.
    16. Wu, Xiaoting & Mukherjee, Arijit & Zeng, Chenhang, 2024. "Privatization and innovation in a vertical structure," China Economic Review, Elsevier, vol. 84(C).
    17. Zhiqi Chen & Gang Li, 2018. "Horizontal Mergers In The Presence Of Capacity Constraints," Economic Inquiry, Western Economic Association International, vol. 56(2), pages 1346-1356, April.
    18. Kazuhiro Ohnishi, 2013. "A Two-production-period Model with State-owned and Labour-managed Firms," Institutions and Economies (formerly known as International Journal of Institutions and Economies), Faculty of Economics and Administration, University of Malaya, vol. 5(1), pages 41-56, April.
    19. Jacobs, Martin & Requate, Till, 2016. "Demand rationing in Bertrand-Edgeworth markets with fixed capacities: An experiment," Economics Working Papers 2016-03, Christian-Albrechts-University of Kiel, Department of Economics.
    20. Kazuhiro Ohnishi, 2014. "Sequential Mixed Competition with a Foreign Joint-stock Firm," International Journal of Social Sciences and Management Studies (IJSSMS), The Economics and Social Development Organization (TESDO), vol. 1(2), pages 38-52, June.

    More about this item

    Keywords

    Bertrand–Edgeworth; Mixed oligopoly;

    JEL classification:

    • 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:119:y:2016:i:3:d:10.1007_s00712-016-0486-4. 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.