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Algorithms for computing Nash equilibria in deterministic LQ games

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Author Info
Engwerda, Jacob (Tilburg University, Center for Economic Research)

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Abstract

In this paper we review a number of algorithms to compute Nash equilibria in deterministic linear quadratic differential games. We will review the open-loop and feedback information case. In both cases we address both the finite and the infinite-planning horizon.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 109.

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Date of creation: 2006
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Handle: RePEc:dgr:kubcen:2006109

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Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - 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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  1. 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 161-73, February. [Downloadable!] (restricted)
  2. Engwerda, Jacob, 2005. "A numerical algorithm to find soft-constrained Nash equilibria in scalar LQ-games," Discussion Paper 33, Tilburg University, Center for Economic Research. [Downloadable!]
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