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Linear Quadratic Games : An Overview

Author

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  • Engwerda, J.C.

    (Tilburg University, Center For Economic Research)

Abstract

In this paper we review some basic results on linear quadratic differential games.We consider both the cooperative and non-cooperative case.For the non-cooperative game we consider the open-loop and (linear) feedback information structure.Furthermore the effect of adding uncertainty is considered.The overview is based on [9].Readers interested in detailed proofs and additional results are referred to this book.

Suggested Citation

  • Engwerda, J.C., 2006. "Linear Quadratic Games : An Overview," Discussion Paper 2006-110, Tilburg University, Center for Economic Research.
  • Handle: RePEc:tiu:tiucen:e994258f-193e-4949-b0e6-7b2ff74efabb
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    File URL: https://pure.uvt.nl/ws/portalfiles/portal/780219/110.pdf
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    References listed on IDEAS

    as
    1. Engwerda, J.C., 2004. "The open-loop linear quadratic differential game revisited," Other publications TiSEM ff4e8556-547a-4157-a832-a, Tilburg University, School of Economics and Management.
    2. Nash, John, 1953. "Two-Person Cooperative Games," Econometrica, Econometric Society, vol. 21(1), pages 128-140, April.
    3. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
    4. Bas Aarle & Lans Bovenberg & Matthias Raith, 1995. "Monetary and fiscal policy interaction and government debt stabilization," Journal of Economics, Springer, vol. 62(2), pages 111-140, June.
    5. 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.
    6. 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, December.
    7. Weeren, A.J.T.M., 1995. "Coordination in hierarchical control," Other publications TiSEM c24c0d84-75c9-4e80-a9cd-0, Tilburg University, School of Economics and Management.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    linear-quadratic games; Nash equilibrium; affine systems; solvability conditions; Riccati equations;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • 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

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