Nonexistence and nonuniqueness of open-loop equilibria in linear-quadratic differential games

  • T. Eisele
Contributed Papers

Abstract

In this paper, we shall give a complete description of the set of all Nash equilibria in open-loop strategies for nonzero-sum differential games with linear differential equations and quadratic cost terms. Several examples are given, where nonexistence and nonuniqueness occur.

Key Words

Nonzero-sum differential games quadratic cost functionals open-loop strategies Nash equilibrium 
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Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • T. Eisele
    • 1
  1. 1.Institut für Angewandte MathematikUniversität HeidelbergHeidelbergWest Germany

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