IDEAS home Printed from https://ideas.repec.org/a/kap/compec/v37y2011i4p375-410.html
   My bibliography  Save this article

A Numerical Toolbox to Solve N-Player Affine LQ Open-Loop Differential Games

Author

Listed:
  • Tomasz Michalak
  • Jacob Engwerda
  • Joseph Plasmans

Abstract

No abstract is available for this item.

Suggested Citation

  • Tomasz Michalak & Jacob Engwerda & Joseph Plasmans, 2011. "A Numerical Toolbox to Solve N-Player Affine LQ Open-Loop Differential Games," Computational Economics, Springer;Society for Computational Economics, vol. 37(4), pages 375-410, April.
  • Handle: RePEc:kap:compec:v:37:y:2011:i:4:p:375-410
    DOI: 10.1007/s10614-011-9257-z
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10614-011-9257-z
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s10614-011-9257-z?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. Jacob Engwerda, 2007. "Algorithms for computing Nash equilibria in deterministic LQ games," Computational Management Science, Springer, vol. 4(2), pages 113-140, April.
    2. Joseph Plasmans & Jacob Engwerda & Bas van Aarle & Giovanni di Bartolomeo & Tomasz Michalak, 2006. "Dynamic Modeling of Monetary and Fiscal Cooperation Among Nations," Dynamic Modeling and Econometrics in Economics and Finance, Springer, number 978-0-387-27931-2, July-Dece.
    3. Fershtman, Chaim & Kamien, Morton I, 1987. "Dynamic Duopolistic Competition with Sticky Prices," Econometrica, Econometric Society, vol. 55(5), pages 1151-1164, September.
    4. 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.
    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. Jacob Engwerda, 2007. "Algorithms for computing Nash equilibria in deterministic LQ games," Computational Management Science, Springer, vol. 4(2), pages 113-140, April.
    2. Engwerda, J.C., 2006. "Linear Quadratic Games : An Overview," Discussion Paper 2006-110, Tilburg University, Center for Economic Research.
    3. Engwerda, J. & Boldea, O. & Michalak, T. & Plasmans, J. & Salmah,, 2012. "A simulation study of an ASEAN monetary union," Economic Modelling, Elsevier, vol. 29(5), pages 1870-1890.
    4. Valentijn Stienen & Jacob Engwerda, 2020. "Measuring Impact of Uncertainty in a Stylized Macroeconomic Climate Model within a Dynamic Game Perspective," Energies, MDPI, vol. 13(2), pages 1-39, 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. Jacob Engwerda, 2017. "A Numerical Algorithm to Calculate the Unique Feedback Nash Equilibrium in a Large Scalar LQ Differential Game," Dynamic Games and Applications, Springer, vol. 7(4), pages 635-656, December.
    2. Engwerda, J.C., 2013. "A Numerical Algorithm to find All Scalar Feedback Nash Equilibria," Other publications TiSEM aa391d31-11df-4693-9583-1, Tilburg University, School of Economics and Management.
    3. J. C. Engwerda & Salmah, 2013. "Necessary and Sufficient Conditions for Feedback Nash Equilibria for the Affine-Quadratic Differential Game," Journal of Optimization Theory and Applications, Springer, vol. 157(2), pages 552-563, May.
    4. Masahiko Hattori & Yasuhito Tanaka, 2019. "General analysis of dynamic oligopoly with sticky price," Economics Bulletin, AccessEcon, vol. 39(4), pages 2990-2998.
    5. Engwerda, J.C. & Salmah, Y., 2008. "The Open-Loop Linear Quadratic Differential Game for Index One Descriptor Systems," Discussion Paper 2008-35, Tilburg University, Center for Economic Research.
    6. Caputo, Michael R. & Ling, Chen, 2013. "The intrinsic comparative dynamics of locally differentiable feedback Nash equilibria of autonomous and exponentially discounted infinite horizon differential games," Journal of Economic Dynamics and Control, Elsevier, vol. 37(10), pages 1982-1994.
    7. Kenji Fujiwara, 2009. "Gains from Trade in a Differential Game Model of Asymmetric Oligopoly," Review of International Economics, Wiley Blackwell, vol. 17(5), pages 1066-1073, November.
    8. Kogan, Konstantin & El Ouardighi, Fouad & Herbon, Avi, 2017. "Production with learning and forgetting in a competitive environment," International Journal of Production Economics, Elsevier, vol. 189(C), pages 52-62.
    9. Engwerda, J.C., 2012. "Prospects of Tools from Differential Games in the Study Of Macroeconomics of Climate Change," Other publications TiSEM cac36d07-227b-4cf2-83cb-7, Tilburg University, School of Economics and Management.
    10. Mathew P. Abraham & Ankur A. Kulkarni, 2018. "An Approach Based on Generalized Nash Games and Shared Constraints for Discrete Time Dynamic Games," Dynamic Games and Applications, Springer, vol. 8(4), pages 641-670, December.
    11. Lu, Fuxiao & Tang, Wansheng & Liu, Guowei & Zhang, Jianxiong, 2019. "Cooperative advertising: A way escaping from the prisoner’s dilemma in a supply chain with sticky price," Omega, Elsevier, vol. 86(C), pages 87-106.
    12. C. Ling & M. R. Caputo, 2011. "A Qualitative Characterization of Symmetric Open-Loop Nash Equilibria in Discounted Infinite Horizon Differential Games," Journal of Optimization Theory and Applications, Springer, vol. 149(1), pages 151-174, April.
    13. Luca Grilli & Michele Bisceglia, 2020. "A dynamic private property resource game with asymmetric firms," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(1), pages 109-127, June.
    14. Jacob Engwerda, 2007. "Algorithms for computing Nash equilibria in deterministic LQ games," Computational Management Science, Springer, vol. 4(2), pages 113-140, April.
    15. Luca Lambertini, 2016. "Managerial Delegation in a Dynamic Renewable Resource Oligopoly," Dynamic Modeling and Econometrics in Economics and Finance, in: Herbert Dawid & Karl F. Doerner & Gustav Feichtinger & Peter M. Kort & Andrea Seidl (ed.), Dynamic Perspectives on Managerial Decision Making, pages 93-107, Springer.
    16. Katarzyna Kańska & Agnieszka Wiszniewska-Matyszkiel, 2022. "Dynamic Stackelberg duopoly with sticky prices and a myopic follower," Operational Research, Springer, vol. 22(4), pages 4221-4252, September.
    17. L. Lambertini, 2010. "Oligopoly with Hyperbolic Demand: A Differential Game Approach," Journal of Optimization Theory and Applications, Springer, vol. 145(1), pages 108-119, April.
    18. Engwerda, J.C. & Salmah, Y., 2010. "Necessary and Sufficient Conditions for Feedback Nash Equilibria for the Affine Quadratic Differential," Discussion Paper 2010-78, Tilburg University, Center for Economic Research.
    19. Colombo, Luca & Labrecciosa, Paola, 2021. "Dynamic oligopoly pricing with reference-price effects," European Journal of Operational Research, Elsevier, vol. 288(3), pages 1006-1016.
    20. Engwerda, J.C. & Salmah, Y. & Wijayanti, I.E., 2009. "The Open-Loop Discounted Linear Quadratic Differential Game for Regular Higher Order Index Descriptor Systems," Discussion Paper 2009-1, Tilburg University, Center for Economic Research.

    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:compec:v:37:y:2011:i:4:p:375-410. 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.