IDEAS home Printed from https://ideas.repec.org/p/bol/bodewp/wp856.html
   My bibliography  Save this paper

On the Optimal Number of Firms in the Commons: Cournot vs Bertrand

Author

Listed:
  • D. Dragone
  • L. Lambertini
  • A. Palestini
  • A. Tampieri

Abstract

We revisit the debate on the optimal number of firms in the commons in a differential oligopoly game in which firms are either quantity- or price-setting agents. Production exploits a natural resource and involves a negative externality. We calculate the number of firms maximising industry profits, finding that it is larger in the Cournot case. While industry structure is always inefficient under Bertrand behaviour, it may or may not be so under Cournot behaviour, depending on parameter values. The comparison of private industry optima reveals that the Cournot steady state welfare level exceeds the corresponding Bertrand magnitude if the weight of the stock of pollution is large enough.

Suggested Citation

  • D. Dragone & L. Lambertini & A. Palestini & A. Tampieri, 2012. "On the Optimal Number of Firms in the Commons: Cournot vs Bertrand," Working Papers wp856, Dipartimento Scienze Economiche, Universita' di Bologna.
  • Handle: RePEc:bol:bodewp:wp856
    as

    Download full text from publisher

    File URL: http://amsacta.unibo.it/3908/1/WP856.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kotaro Suzumura & Kazuharu Kiyono, 1987. "Entry Barriers and Economic Welfare," Review of Economic Studies, Oxford University Press, vol. 54(1), pages 157-167.
    2. Dastidar, Krishnendu Ghosh, 1995. "On the Existence of Pure Strategy Bertrand Equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 19-32, January.
    3. Benchekroun, Hassan & Van Long, Ngo, 2002. "On the multiplicity of efficiency-inducing tax rules," Economics Letters, Elsevier, vol. 76(3), pages 331-336, August.
    4. Cornes, Richard & Sandler, Todd, 1983. "On Commons and Tragedies," American Economic Review, American Economic Association, vol. 73(4), pages 787-792, September.
    5. Kjell Sunnev├ąg, 2003. "Auction Design for the Allocation of Emission Permits in the Presence of Market Power," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 26(3), pages 385-400, November.
    6. Fujiwara, Kenji, 2009. "Environmental policies in a differentiated oligopoly revisited," Resource and Energy Economics, Elsevier, vol. 31(3), pages 239-247, August.
    7. William Novshek, 1980. "Cournot Equilibrium with Free Entry," Review of Economic Studies, Oxford University Press, vol. 47(3), pages 473-486.
    8. Benchekroun, Hassan & van Long, Ngo, 1998. "Efficiency inducing taxation for polluting oligopolists," Journal of Public Economics, Elsevier, vol. 70(2), pages 325-342, November.
    9. Charles F. Mason & Stephen Polasky, 1997. "The Optimal Number of Firms in the Commons: A Dynamic Approach," Canadian Journal of Economics, Canadian Economics Association, vol. 30(4), pages 1143-1160, November.
    10. Karp, Larry, 1992. "Social Welfare in a Common Property Oligopoly," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(2), pages 353-372, May.
    11. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, October.
    12. Cellini, Roberto & Lambertini, Luca & Ottaviano, Gianmarco I. P., 2004. "Welfare in a differentiated oligopoly with free entry: a cautionary note," Research in Economics, Elsevier, vol. 58(2), pages 125-133, June.
    13. Karp, Larry & Livernois, John, 1992. "On efficiency-inducing taxation for a non-renewable resource monopolist," Journal of Public Economics, Elsevier, vol. 49(2), pages 219-239, November.
    14. Katsoulacos, Yannis & Xepapadeas, Anastasios, 1995. " Environmental Policy under Oligopoly with Endogenous Market Structure," Scandinavian Journal of Economics, Wiley Blackwell, vol. 97(3), pages 411-420, September.
    15. Sinn, Hans-Werner, 1984. "Common Property Resources, Storage Facilities and Ownership Structures: A Cournot Model of the Oil Market," Economica, London School of Economics and Political Science, vol. 51(23), pages 235-252, August.
    16. Richard Cornes & Charles F. Mason & Todd Sandler, 1986. "The Commons and the Optimal Number of Firms," The Quarterly Journal of Economics, Oxford University Press, vol. 101(3), pages 641-646.
    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. L. Lambertini, 2014. "On the Interplay between Resource Extraction and Polluting Emissions in Oligopoly," Working Papers wp976, Dipartimento Scienze Economiche, Universita' di Bologna.
    2. repec:wsi:igtrxx:v:19:y:2017:i:04:n:s0219198917500189 is not listed on IDEAS
    3. repec:spr:decfin:v:40:y:2017:i:1:d:10.1007_s10203-017-0189-5 is not listed on IDEAS

    More about this item

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General
    • Q51 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Valuation of Environmental Effects

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:bol:bodewp:wp856. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dipartimento Scienze Economiche, Universita' di Bologna). General contact details of provider: http://edirc.repec.org/data/sebolit.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.