Uniqueness Conditions for the Infinite-Planning Horizon Open-Loop Linear Quadratic Differential Game

J.C. Engwerda

Research output: Working paperDiscussion paperOther research output

4 Citations (Scopus)

Abstract

In this note we consider the open-loop Nash linear quadratic differential game with an infinite planning horizon.The performance function is assumed to be indefinite and the underlying system affine.We derive both necessary and sufficient conditions under which this game has a unique Nash equilibrium.
Original languageEnglish
Place of PublicationTilburg
PublisherMacroeconomics
Number of pages16
Volume2005-32
Publication statusPublished - 2005

Publication series

NameCentER Discussion Paper
Volume2005-32

Keywords

  • linear-quadratic games
  • open-loop Nash equilibrium
  • affine systems
  • solvability conditions
  • Riccati equations

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