IDEAS home Printed from https://ideas.repec.org/p/shf/wpaper/2012008.html
   My bibliography  Save this paper

The Stackelberg Model as a Partial Solution to the Problem of Pricing in a Network

Author

Listed:
  • Jolian McHardy

    (Department of Economics, The University of Sheffield)

  • Michael Reynolds

    (School of International Studies, University of Bradford)

  • Stephen Trotter

    (Centre for Economic Policy, University of Hull)

Abstract

We consider an application of the Stackelberg leader-follower model in prices in a simple two-firm network as a possible way to help resolve externalities that can be harmful to firm profit and welfare. Whilst independent pricing on the network yields lower profit and sometimes even lower welfare than monopoly pricing, we show that by allowing the firms to collude on some prices in a first-stage and set remaining prices independently (competitively) in a second stage, both profit and welfare gains can be made.

Suggested Citation

  • Jolian McHardy & Michael Reynolds & Stephen Trotter, 2012. "The Stackelberg Model as a Partial Solution to the Problem of Pricing in a Network," Working Papers 2012008, The University of Sheffield, Department of Economics.
    • Handle: RePEc:shf:wpaper:2012008
    as

    Download full text from publisher

    File URL: http://www.shef.ac.uk/economics/research/serps/articles/2012_008.html
    File Function: First version, 2012
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Economides, Nicholas & Salop, Steven C, 1992. "Competition and Integration among Complements, and Network Market Structure," Journal of Industrial Economics, Wiley Blackwell, vol. 40(1), pages 105-123, March.
    2. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    3. Jolian Mchardy, 2006. "Complementary Monopoly And Welfare: Is Splitting Up So Bad?," Manchester School, University of Manchester, vol. 74(3), pages 334-349, June.
    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. Çakır, Metin & Nolan, James, 2015. "Revisiting Concentration in Food and Agricultural Supply Chains: The Welfare Implications of Market Power in a Complementary Input Sector," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 40(2), pages 1-17, May.
    2. Vincent van den Berg, 2013. "Over- and Under-Bidding in Tendering," Tinbergen Institute Discussion Papers 13-033/VIII, Tinbergen Institute.
    3. Van Cayseele Patrick & Reynaerts Jo, 2011. "Complementary Platforms," Review of Network Economics, De Gruyter, vol. 10(1), pages 1-33, March.
    4. M. Alvisi & E. Carbonara, 2010. "Imperfect Substitutes for Perfect Complements: Solving the Anticommons Problem," Working Papers 708, Dipartimento Scienze Economiche, Universita' di Bologna.
    5. Jolian McHardy & Michael Reynolds & Stephen Trotter, 2007. "Network regulation using an agent," Working Papers 2007004, The University of Sheffield, Department of Economics, revised Feb 2007.
    6. van den Berg, Vincent A.C., 2013. "Serial private infrastructures," Transportation Research Part B: Methodological, Elsevier, vol. 56(C), pages 186-202.
    7. Vincent van den Berg, 2012. "Advantaged Bidders in Franchise Auctions," Tinbergen Institute Discussion Papers 12-117/VIII, Tinbergen Institute.
    8. Jolian McHardy & Michael Reynolds & Stephen Trotter, 2012. "On the problem of network monopoly," Theory and Decision, Springer, vol. 73(2), pages 223-248, August.
    9. Kopel, Michael & Löffler, Clemens & Pfeiffer, Thomas, 2017. "Complementary monopolies and multi-product firms," Economics Letters, Elsevier, vol. 157(C), pages 28-30.
    10. Bataille, Marc & Steinmetz, Alexander, 2013. "Intermodal competition on some routes in transportation networks: The case of inter urban buses and railways," DICE Discussion Papers 84, Heinrich Heine University Düsseldorf, Düsseldorf Institute for Competition Economics (DICE).
    11. McHardy, Jolian & Reynolds, Michael & Trotter, Stephen, 2023. "A consumer surplus, welfare and profit enhancing strategy for improving urban public transport networks," Regional Science and Urban Economics, Elsevier, vol. 100(C).
    12. McHardy, Jolian & Reynolds, Michael & Trotter, Stephen, 2013. "Network interconnectivity with competition and regulation," Transportation Research Part A: Policy and Practice, Elsevier, vol. 47(C), pages 97-110.
    13. Wright, Austin L. & Sonin, Konstantin & Driscoll, Jesse & Wilson, Jarnickae, 2020. "Poverty and economic dislocation reduce compliance with COVID-19 shelter-in-place protocols," Journal of Economic Behavior & Organization, Elsevier, vol. 180(C), pages 544-554.
    14. Janvier D. Nkurunziza, 2005. "Reputation and Credit without Collateral in Africa`s Formal Banking," Economics Series Working Papers WPS/2005-02, University of Oxford, Department of Economics.
    15. Stephanie Rosenkranz & Patrick W. Schmitz, 2007. "Can Coasean Bargaining Justify Pigouvian Taxation?," Economica, London School of Economics and Political Science, vol. 74(296), pages 573-585, November.
    16. Vadim Borokhov, 2014. "On the properties of nodal price response matrix in electricity markets," Papers 1404.3678, arXiv.org, revised Jan 2015.
    17. Daniel Sutter & Daniel J. Smith, 2017. "Coordination in disaster: Nonprice learning and the allocation of resources after natural disasters," The Review of Austrian Economics, Springer;Society for the Development of Austrian Economics, vol. 30(4), pages 469-492, December.
    18. Hanming Fang & Peter Norman, 2014. "Toward an efficiency rationale for the public provision of private goods," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(2), pages 375-408, June.
    19. Gan, Li & Ju, Gaosheng & Zhu, Xi, 2015. "Nonparametric estimation of structural labor supply and exact welfare change under nonconvex piecewise-linear budget sets," Journal of Econometrics, Elsevier, vol. 188(2), pages 526-544.
    20. Peterson, Jeffrey M. & Boisvert, Richard N. & de Gorter, Harry, 1999. "Multifunctionality and Optimal Environmental Policies for Agriculture in an Open Economy," Working Papers 127701, Cornell University, Department of Applied Economics and Management.

    More about this item

    Keywords

    Stackelberg; pricing; network;
    All these keywords.

    JEL classification:

    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • L14 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Transactional Relationships; Contracts and Reputation
    • L51 - Industrial Organization - - Regulation and Industrial Policy - - - Economics of Regulation

    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:shf:wpaper:2012008. 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: Mike Crabtree (email available below). General contact details of provider: https://edirc.repec.org/data/desheuk.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.