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A Numerical Algorithm to find Soft-Constrained Nash Equilibria in Scalar LQ-Games

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  • Engwerda, J.C.

    (Tilburg University, School of Economics and Management)

Abstract

In this paper we provide a numerical algorithm to calculate all soft-constrained Nash equilibria in a regular scalar indefinite linear-quadratic game.The algorithm is based on the calculation of the eigenstructure of a certain matrix.The analysis follows the lines of the approach taken by Engwerda in [7] to calculate the solutions of a set of scalar coupled feedback Nash algebraic Riccati equations.
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Suggested Citation

  • Engwerda, J.C., 2005. "A Numerical Algorithm to find Soft-Constrained Nash Equilibria in Scalar LQ-Games," Other publications TiSEM 69d5c8c9-7a12-406e-b324-0, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:69d5c8c9-7a12-406e-b324-0aa53e391296
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    References listed on IDEAS

    as
    1. Lars Peter Hansen & Thomas J Sargent, 2014. "Robust Permanent Income and Pricing," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 3, pages 33-81, World Scientific Publishing Co. Pte. Ltd..
    2. W. A. van den Broek & J. C. Engwerda & J. M. Schumacher, 2003. "Robust Equilibria in Indefinite Linear-Quadratic Differential Games," Journal of Optimization Theory and Applications, Springer, vol. 119(3), pages 565-595, December.
    3. Bas van Aarle & Jacob Engwerda & Joseph Plasmans, 2002. "Monetary and Fiscal Policy Interaction in the EMU: A Dynamic Game Approach," Annals of Operations Research, Springer, vol. 109(1), pages 229-264, January.
    4. Engwerda, J.C., 1999. "The Solution Set of the n-Player Scalar Feedback Nash Algebraic Riccati Equations," Other publications TiSEM 63f19390-d8dd-4c84-9b96-7, Tilburg University, School of Economics and Management.
    5. 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.
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    More about this item

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • 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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