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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, Center for Economic Research)

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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Bibliographic Info

Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2005-33.

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Date of creation: 2005
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Handle: RePEc:dgr:kubcen:200533

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Keywords: C63; C72; C73;

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  1. Hansen, Lars Peter & Sargent, Thomas J & Tallarini, Thomas D, Jr, 1999. "Robust Permanent Income and Pricing," Review of Economic Studies, Wiley Blackwell, vol. 66(4), pages 873-907, October.
  2. Engwerda, J.C. & Aarle, B. van & Plasmans, J.E.J., 1998. "Fiscal Policy Interaction in the EMU," Discussion Paper 1998-113, Tilburg University, Center for Economic Research.
  3. Engwerda, J.C., 1999. "The Solution Set of the n-Player Scalar Feedback Nash Algebraic Riccati Equations," Discussion Paper 1999-90, Tilburg University, Center for Economic Research.
  4. Bas van Aarle & Jacob Engwerda & Joseph Plasmans, 2001. "Monetary and Fiscal Policy Interaction in the EMU: A Dynamic Game Approach," CESifo Working Paper Series 437, CESifo Group Munich.
  5. Broek, W.A. van den & Engwerda, J.C. & Schumacher, J.M., 2003. "Robust equilibria in indefinite linear-quadratic differential games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-123066, Tilburg University.
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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.

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