Nothing Special   »   [go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/cca/wpaper/585.html
   My bibliography  Save this paper

Stackelberg Independence

Author

Listed:
  • Toomas Hinnosaar
Abstract
The standard model of sequential capacity choices is the Stackelberg quantity leadership model with linear demand. I show that under the standard assumptions, leaders’ actions are informative about market conditions and independent of leaders’ beliefs about the arrivals of followers. However, this Stackelberg independence property relies on all standard assumptions being satisfied. It fails to hold whenever the demand function is non-linear, marginal cost is not constant, goods are differentiated, firms are non-identical, or there are any externalities. I show that small deviations from the linear demand assumption may make the leaders’ choices completely uninformative.

Suggested Citation

  • Toomas Hinnosaar, 2019. "Stackelberg Independence," Carlo Alberto Notebooks 585, Collegio Carlo Alberto.
    • Handle: RePEc:cca:wpaper:585
    as

    Download full text from publisher

    File URL: https://www.carloalberto.org/wp-content/uploads/2019/04/no.585.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Hiroaki Ino & Toshihiro Matsumura, 2012. "How Many Firms Should Be Leaders? Beneficial Concentration Revisited," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 53(4), pages 1323-1340, November.
    2. Nicolas S. Lambert & Giorgio Martini & Michael Ostrovsky, 2018. "Quadratic Games," NBER Working Papers 24914, National Bureau of Economic Research, Inc.
    3. Luis C. Corchón & Marco A. Marini (ed.), 2018. "Handbook of Game Theory and Industrial Organization, Volume II," Books, Edward Elgar Publishing, number 17978.
    4. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
    5. Julien, Ludovic & Musy, Oliver & Saidi, Aurélien, 2011. "Do Followers Really Matter in Stackelberg Competition?," Revista Lecturas de Economía, Universidad de Antioquia, CIE, November.
    6. Ludovic Julien & Olivier Musy & Aurélien Saïdi, 2012. "On hierarchical competition in oligopoly," Journal of Economics, Springer, vol. 107(3), pages 217-237, November.
    7. Anderson, Simon P. & Engers, Maxim, 1992. "Stackelberg versus Cournot oligopoly equilibrium," International Journal of Industrial Organization, Elsevier, vol. 10(1), pages 127-135, March.
    8. Avinash Dixit, 2008. "Strategic Behavior in Contests," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 431-438, Springer.
    9. Thierry Lafay, 2010. "A linear generalization of Stackelberg’s model," Theory and Decision, Springer, vol. 69(2), pages 317-326, August.
    10. Robson, Arthur J, 1990. "Stackelberg and Marshall," American Economic Review, American Economic Association, vol. 80(1), pages 69-82, March.
    11. Luis C. Corchón & Marco A. Marini (ed.), 2018. "Handbook of Game Theory and Industrial Organization, Volume I," Books, Edward Elgar Publishing, number 16873.
    12. Volker Nocke & Nicolas Schutz, 2018. "Multiproduct‐Firm Oligopoly: An Aggregative Games Approach," Econometrica, Econometric Society, vol. 86(2), pages 523-557, March.
    13. Ludovic Julien & Olivier Musy & Aurélien Saïdi, 2012. "On hierarchical competition in oligopoly," Journal of Economics, Springer, vol. 107(3), pages 217-237, November.
    14. Acemoglu, Daron & Jensen, Martin Kaae, 2013. "Aggregate comparative statics," Games and Economic Behavior, Elsevier, vol. 81(C), pages 27-49.
    15. Linster, Bruce G, 1993. "Stackelberg Rent-Seeking," Public Choice, Springer, vol. 77(2), pages 307-321, October.
    16. Glazer, Amihai & Hassin, Refael, 2000. "Sequential Rent Seeking," Public Choice, Springer, vol. 102(3-4), pages 219-228, March.
    17. Pal, Debashis & Sarkar, Jyotirmoy, 2001. "A Stackelberg Oligopoly with Nonidentical Firms," Bulletin of Economic Research, Wiley Blackwell, vol. 53(2), pages 127-134, April.
    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. Troncoso-Valverde, Cristián & Chávez-Bustamante, Felipe, 2024. "Do you want to know a secret? Strategic alliances and competition in product markets," European Journal of Operational Research, Elsevier, vol. 313(3), pages 1180-1190.
    2. Hinnosaar, Toomas, 2024. "Optimal sequential contests," Theoretical Economics, Econometric Society, vol. 19(1), January.

    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. Hinnosaar, Toomas, 2024. "Optimal sequential contests," Theoretical Economics, Econometric Society, vol. 19(1), January.
    2. Nava Kahana & Doron Klunover, 2017. "Sequential Lottery Contests with Multiple Participants," Working Papers tax-mpg-rps-2017-02, Max Planck Institute for Tax Law and Public Finance.
    3. Ludovic Julien & Olivier Musy & Aurélien Saïdi, 2011. "Do Followers Really Matter in Stackelberg Competition?," Lecturas de Economía, Universidad de Antioquia, Departamento de Economía, issue 75, pages 11-27.
    4. Kenan Huremović, 2021. "A noncooperative model of contest network formation," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(2), pages 275-317, April.
    5. Klunover, Doron, 2018. "A note on rent dissipation in lottery contests," Economics Letters, Elsevier, vol. 168(C), pages 90-93.
    6. Konstantinos Protopappas, 2023. "Manipulation of moves in sequential contests," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 61(3), pages 511-535, October.
    7. Daniel Cracau & Benjamin Franz, 2013. "Judo Economics in Markets with Multiple Firms," FEMM Working Papers 130013, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    8. Christian Ewerhart, 2020. "Ordinal potentials in smooth games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(4), pages 1069-1100, November.
    9. Gama, Adriana & Rietzke, David, 2019. "Monotone comparative statics in games with non-monotonic best-replies: Contests and Cournot oligopoly," Journal of Economic Theory, Elsevier, vol. 183(C), pages 823-841.
    10. Magnus Hoffmann & Grégoire Rota‐Graziosi, 2020. "Endogenous timing in the presence of non‐monotonicities," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 53(1), pages 359-402, February.
    11. Mikhail Drugov & Dmitry Ryvkin, 2019. "The shape of luck and competition in tournaments," Working Papers w0251, Center for Economic and Financial Research (CEFIR).
    12. René Kirkegaard, 2020. "Microfounded Contest Design," Working Papers 2003, University of Guelph, Department of Economics and Finance.
    13. Christian Ewerhart & Julia Lareida, 2018. "Voluntary disclosure in asymmetric contests," ECON - Working Papers 279, Department of Economics - University of Zurich, revised Jul 2023.
    14. Bersani, Alberto M. & Falbo, Paolo & Mastroeni, Loretta, 2022. "Is the ETS an effective environmental policy? Undesired interaction between energy-mix, fuel-switch and electricity prices," Energy Economics, Elsevier, vol. 110(C).
    15. Motta, Massimo & Tarantino, Emanuele, 2021. "The effect of horizontal mergers, when firms compete in prices and investments," International Journal of Industrial Organization, Elsevier, vol. 78(C).
    16. Shelegia, Sandro & Wilson, Chris M., 2022. "Costly participation and default allocations in all-pay contests," MPRA Paper 115027, University Library of Munich, Germany.
    17. Sandra Ludwig, 2012. "Contests—a comparison of timing and information structures," Public Choice, Springer, vol. 153(3), pages 341-355, December.
    18. Ludovic Julien & Olivier Musy & Aurélien Saïdi, 2012. "On hierarchical competition in oligopoly," Journal of Economics, Springer, vol. 107(3), pages 217-237, November.
    19. Martin Kolmar & Andreas Wagener, 2013. "Inefficiency As A Strategic Device In Group Contests Against Dominant Opponents," Economic Inquiry, Western Economic Association International, vol. 51(4), pages 2083-2095, October.
    20. Cumbul, Eray, 2021. "Stackelberg versus Cournot oligopoly with private information," International Journal of Industrial Organization, Elsevier, vol. 74(C).

    More about this item

    Keywords

    sequential games; oligopolies; Stackelberg leadership model.;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • 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:cca:wpaper:585. 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: Giovanni Bert (email available below). General contact details of provider: https://edirc.repec.org/data/fccaait.html .

    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.