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Asymptotic analysis of Nash equilibria in nonzero-sum linear-quadratic differential games : The two player case

Author

Listed:
  • Weeren, A.J.T.M.

    (Tilburg University, School of Economics and Management)

  • Schumacher, J.M.

    (Tilburg University, School of Economics and Management)

  • Engwerda, J.C.

    (Tilburg University, School of Economics and Management)

Abstract

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Suggested Citation

  • Weeren, A.J.T.M. & Schumacher, J.M. & Engwerda, J.C., 1994. "Asymptotic analysis of Nash equilibria in nonzero-sum linear-quadratic differential games : The two player case," Other publications TiSEM be0298d2-f7dc-4ba1-8d28-b, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:be0298d2-f7dc-4ba1-8d28-b49cd5e911f9
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    Cited by:

    1. Engwerda, J.C., 1999. "On the solution set of scalar algebraic Riccati equations," Other publications TiSEM 11c4c9d5-d01b-4372-a18b-1, Tilburg University, School of Economics and Management.
    2. 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.
    3. Engwerda, J.C., 1998. "On the Scalar Feedback Nash Equilibria in the Infinite Horizon LQ-Game," Discussion Paper 1998-112, Tilburg University, Center for Economic Research.
    4. Engwerda, J.C., 1996. "The Infinite Horizon Open-Loop Nash LQ-Game," Other publications TiSEM bb9762e7-faab-4ad2-8dd8-4, Tilburg University, School of Economics and Management.
    5. Engwerda, Jacob C., 1998. "On the open-loop Nash equilibrium in LQ-games," Journal of Economic Dynamics and Control, Elsevier, vol. 22(5), pages 729-762, May.
    6. Engwerda, J.C., 2013. "A Numerical Algorithm to find All Scalar Feedback Nash Equilibria," Discussion Paper 2013-050, Tilburg University, Center for Economic Research.
    7. Engwerda, Jacob & van Aarle, Bas & Plasmans, Joseph & Weeren, Arie, 2013. "Debt stabilization games in the presence of risk premia," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2525-2546.
    8. Engwerda, J.C. & Salmah, Y., 2010. "Necessary and Sufficient Conditions for Feedback Nash Equilibria for the Affine Quadratic Differential," Other publications TiSEM 4be56827-dca1-42c3-8872-6, Tilburg University, School of Economics and Management.
    9. 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.
    10. Bas Van Aarle & Jacob Engwerda & Joseph Plasmans & Arie Weeren, 2001. "Macroeconomic Policy Interaction under EMU: A Dynamic Game Approach," Open Economies Review, Springer, vol. 12(1), pages 29-60, January.
    11. Weeren, A.J.T.M. & Schumacher, J.M. & Engwerda, J.C., 1995. "Coordination in continuously repeated games," Other publications TiSEM da44944d-7d7e-484d-9818-d, Tilburg University, School of Economics and Management.
    12. Engwerda, J.C. & Weeren, A.J.T.M., 1995. "The open-loop Nash equilibrium in LQ-games revisited," Other publications TiSEM 1792b29c-db37-431e-b900-8, Tilburg University, School of Economics and Management.
    13. Engwerda, J.C. & Weeren, A.J.T.M., 1994. "On the relationship between the open-loop Nash equilibrium in LQ-games and the inertia of a matrix," Research Memorandum FEW 672, Tilburg University, School of Economics and Management.
    14. 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.
    15. Weeren, A. J. T. M. & Schumacher, J. M. & Engwerda, J. C., 1999. "Strategic behavior and noncooperative hierarchical control," Journal of Economic Dynamics and Control, Elsevier, vol. 23(4), pages 641-669, February.
    16. 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.
    17. Engwerda, J.C., 2000. "Feedback Nash equilibria in the scalar infinite horizon LQ-Game," Other publications TiSEM 58ccf964-4ca1-4d67-9a68-a, Tilburg University, School of Economics and Management.
    18. Alberto Bressan & Khai T. Nguyen, 2018. "Stability of Feedback Solutions for Infinite Horizon Noncooperative Differential Games," Dynamic Games and Applications, Springer, vol. 8(1), pages 42-78, March.

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