IDEAS home Printed from https://ideas.repec.org/a/spr/comgts/v11y2014i4p475-502.html
   My bibliography  Save this article

A Cournot–Nash–Bertrand game theory model of a service-oriented Internet with price and quality competition among network transport providers

Author

Listed:
  • Anna Nagurney
  • Tilman Wolf

Abstract

This paper develops a game theory model of a service-oriented Internet in which profit-maximizing service providers provide substitutable (but not identical) services and compete with the quantities of services in a Cournot–Nash manner, whereas the network transport providers, which transport the services to the users at the demand markets, and are also profit-maximizers, compete with prices in Bertrand fashion and on quality. The consumers respond to the composition of service and network provision through the demand price functions, which are both quantity and quality dependent. We derive the governing equilibrium conditions of the integrated game and show that it satisfies a variational inequality problem. We then describe the underlying dynamics, and provide some qualitative properties, including stability analysis. The proposed algorithmic scheme tracks, in discrete-time, the dynamic evolution of the service volumes, quality levels, and the prices until an approximation of a stationary point (within the desired convergence tolerance) is achieved. Numerical examples demonstrate the modeling and computational framework. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Anna Nagurney & Tilman Wolf, 2014. "A Cournot–Nash–Bertrand game theory model of a service-oriented Internet with price and quality competition among network transport providers," Computational Management Science, Springer, vol. 11(4), pages 475-502, October.
  • Handle: RePEc:spr:comgts:v:11:y:2014:i:4:p:475-502
    DOI: 10.1007/s10287-013-0183-5
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10287-013-0183-5
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s10287-013-0183-5?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Nagurney, Anna & Dupuis, Paul & Zhang, Ding, 1994. "A Dynamical Systems Approach for Network Oligopolies and Variational Inequalities," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 28(3), pages 263-283, September.
    2. Nagurney, Anna & Takayama, Takashi & Zhang, Ding, 1995. "Massively parallel computation of spatial price equilibrium problems as dynamical systems," Journal of Economic Dynamics and Control, Elsevier, vol. 19(1-2), pages 3-37.
    3. Anna Nagurney, 2010. "Formulation and analysis of horizontal mergers among oligopolistic firms with insights into the merger paradox: a supply chain network perspective," Computational Management Science, Springer, vol. 7(4), pages 377-406, October.
    4. Cruz, Jose M., 2008. "Dynamics of supply chain networks with corporate social responsibility through integrated environmental decision-making," European Journal of Operational Research, Elsevier, vol. 184(3), pages 1005-1031, February.
    5. Dafermos, Stella & Nagurney, Anna, 1987. "Oligopolistic and competitive behavior of spatially separated markets," Regional Science and Urban Economics, Elsevier, vol. 17(2), pages 245-254.
    6. Anna Nagurney & Dong Li & Tilman Wolf & Sara Saberi, 2013. "A network economic game theory model of a service-oriented internet with choices and quality competition," Netnomics, Springer, vol. 14(1), pages 1-25, November.
    7. Anna Nagurney, 2006. "Supply Chain Network Economics," Books, Edward Elgar Publishing, number 4242.
    8. Lee McKnight & Joseph P. Bailey, 1997. "Global Internet Economics," Brazilian Electronic Journal of Economics, Department of Economics, Universidade Federal de Pernambuco, vol. 1(0), December.
    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. Yi Wang & Hui Wang & Shubing Guo, 2019. "Research on Dynamic Game Model and Application of China’s Imported Soybean Price in the Context of China-US Economic and Trade Friction," Complexity, Hindawi, vol. 2019, pages 1-13, November.
    2. Sonja Brangewitz & Claus-Jochen Haake & Philipp Moehlmeier, 2015. "Strategic Formation of Customer Relationship Networks," Working Papers CIE 91, Paderborn University, CIE Center for International Economics.
    3. Yongtao Peng & Bohai Chen & Eleonora Veglianti, 2022. "Platform Service Supply Chain Network Equilibrium Model with Data Empowerment," Sustainability, MDPI, vol. 14(9), pages 1-21, April.
    4. Nagurney, Anna & Besik, Deniz & Li, Dong, 2019. "Strict quotas or tariffs? Implications for product quality and consumer welfare in differentiated product supply chains," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 129(C), pages 136-161.

    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. Nagurney, Anna & Li, Dong & Nagurney, Ladimer S., 2014. "Spatial price equilibrium with information asymmetry in quality and minimum quality standards," International Journal of Production Economics, Elsevier, vol. 158(C), pages 300-313.
    2. Anna Nagurney & Dong Li, 2014. "A Dynamic Network Oligopoly Model with Transportation Costs, Product Differentiation, and Quality Competition," Computational Economics, Springer;Society for Computational Economics, vol. 44(2), pages 201-229, August.
    3. Dong Li & Anna Nagurney, 2017. "Supply chain performance assessment and supplier and component importance identification in a general competitive multitiered supply chain network model," Journal of Global Optimization, Springer, vol. 67(1), pages 223-250, January.
    4. Masoumi, Amir H. & Yu, Min & Nagurney, Anna, 2012. "A supply chain generalized network oligopoly model for pharmaceuticals under brand differentiation and perishability," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(4), pages 762-780.
    5. Anna Nagurney & Dong Li, 2014. "Equilibria and dynamics of supply chain network competition with information asymmetry in quality and minimum quality standards," Computational Management Science, Springer, vol. 11(3), pages 285-315, July.
    6. Nagurney, Anna & Saberi, Sara & Shukla, Shivani & Floden, Jonas, 2015. "Supply chain network competition in price and quality with multiple manufacturers and freight service providers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 77(C), pages 248-267.
    7. Anna Nagurney & Min Yu & Deniz Besik, 2017. "Supply chain network capacity competition with outsourcing: a variational equilibrium framework," Journal of Global Optimization, Springer, vol. 69(1), pages 231-254, September.
    8. Li, Dong & Nagurney, Anna & Yu, Min, 2018. "Consumer learning of product quality with time delay: Insights from spatial price equilibrium models with differentiated products," Omega, Elsevier, vol. 81(C), pages 150-168.
    9. Anna Nagurney, 2010. "Formulation and analysis of horizontal mergers among oligopolistic firms with insights into the merger paradox: a supply chain network perspective," Computational Management Science, Springer, vol. 7(4), pages 377-406, October.
    10. Nagurney, Anna & Yu, Min, 2012. "Sustainable fashion supply chain management under oligopolistic competition and brand differentiation," International Journal of Production Economics, Elsevier, vol. 135(2), pages 532-540.
    11. Zugang Liu & Anna Nagurney, 2009. "An integrated electric power supply chain and fuel market network framework: Theoretical modeling with empirical analysis for New England," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(7), pages 600-624, October.
    12. Tan Miller & Terry Friesz & Roger Tobin & Changhyun Kwon, 2007. "Reaction Function Based Dynamic Location Modeling in Stackelberg–Nash–Cournot Competition," Networks and Spatial Economics, Springer, vol. 7(1), pages 77-97, March.
    13. Anna Nagurney & Ladimer Nagurney, 2015. "A game theory model of cybersecurity investments with information asymmetry," Netnomics, Springer, vol. 16(1), pages 127-148, August.
    14. Anna Nagurney & Dong Li, 2015. "A supply chain network game theory model with product differentiation, outsourcing of production and distribution, and quality and price competition," Annals of Operations Research, Springer, vol. 226(1), pages 479-503, March.
    15. Besik, Deniz & Nagurney, Anna, 2017. "Quality in competitive fresh produce supply chains with application to farmers' markets," Socio-Economic Planning Sciences, Elsevier, vol. 60(C), pages 62-76.
    16. Wu, Xin & Nie, Lei & Xu, Meng & Yan, Fei, 2018. "A perishable food supply chain problem considering demand uncertainty and time deadline constraints: Modeling and application to a high-speed railway catering service," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 111(C), pages 186-209.
    17. Nagurney, Anna & Shukla, Shivani & Nagurney, Ladimer S. & Saberi, Sara, 2018. "A game theory model for freight service provision security investments for high-value cargo," Economics of Transportation, Elsevier, vol. 16(C), pages 21-28.
    18. Anna Nagurney & Min Yu & Jonas Floden, 2013. "Supply chain network sustainability under competition and frequencies of activities from production to distribution," Computational Management Science, Springer, vol. 10(4), pages 397-422, December.
    19. Nagurney, Anna & Besik, Deniz & Dong, June, 2019. "Tariffs and quotas in world trade: A unified variational inequality framework," European Journal of Operational Research, Elsevier, vol. 275(1), pages 347-360.
    20. Yu, Min & Nagurney, Anna, 2013. "Competitive food supply chain networks with application to fresh produce," European Journal of Operational Research, Elsevier, vol. 224(2), pages 273-282.

    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:spr:comgts:v:11:y:2014:i:4:p:475-502. 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.