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Algorithms for computing Nash equilibria in deterministic LQ games

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  • Engwerda, J.C.

    (Tilburg University, School of Economics and Management)

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  • Engwerda, J.C., 2007. "Algorithms for computing Nash equilibria in deterministic LQ games," Other publications TiSEM 89716ae9-c244-4448-b796-4, Tilburg University, School of Economics and Management.
  • Handle: RePEc:tiu:tiutis:89716ae9-c244-4448-b796-47be05c04ce0
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    References listed on IDEAS

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    1. 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.
    2. Reinganum, Jennifer F & Stokey, Nancy L, 1985. "Oligopoly Extraction of a Common Property Natural Resource: The Importance of the Period of Commitment in Dynamic Games," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(1), pages 161-173, February.
    3. van den Broek, W.A. & Engwerda, J.C. & Schumacher, J.M., 2003. "An equivalence result in linear-quadratic theory," Other publications TiSEM d65171ce-101d-4204-a1ec-f, Tilburg University, School of Economics and Management.
    4. 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, May.
    5. 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, January.
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    Cited by:

    1. Engwerda, J.C., 2013. "A Numerical Algorithm to find All Scalar Feedback Nash Equilibria," Discussion Paper 2013-050, Tilburg University, Center for Economic Research.
    2. 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.
    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. Aniruddha Roy & Puduru Viswanadha Reddy, 2025. "Soft-Constrained Output Feedback Guaranteed Cost Equilibria in Infinite-Horizon Uncertain Linear-Quadratic Differential Games," Journal of Optimization Theory and Applications, Springer, vol. 204(2), pages 1-33, February.
    5. Eigruber, Markus & Wirl, Franz, 2024. "Market equilibrium strategies under learning by doing and spillovers," Energy Economics, Elsevier, vol. 131(C).
    6. 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.
    7. 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.
    8. Jacob Engwerda, 2022. "Min-Max Robust Control in LQ-Differential Games," Dynamic Games and Applications, Springer, vol. 12(4), pages 1221-1279, December.

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