English, Article edition: ON LEVEL SETS WITH "NARROW THROATS" IN LINEAR DIFFERENTIAL GAMES SERGEY S. KUMKOV; VALERY S. PATSKO; JOSEF SHINAR

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Physical Description
  • article
Language
  • English

Edition details

Title
  • ON LEVEL SETS WITH "NARROW THROATS" IN LINEAR DIFFERENTIAL GAMES
Author
  • SERGEY S. KUMKOV
  • VALERY S. PATSKO
  • JOSEF SHINAR
Physical Description
  • article
Notes
  • Examples with zero-sum linear differential games of fixed terminal time and a convex terminal payoff function depending on two components of the phase vector are considered. Such games can have an indifferent zone with constant value function. The level set of the value function associated with the indifferent zone is called the "critical" tube. In the selected examples, the critical tube and the neighboring level sets exhibit "narrow throats". Presence of such throats requires extremely precise computations for constructing the level sets. The paper presents different forms of critical tubes with narrow throats and indicates the combinations of problem parameters that can produce them.
  • Differential games, value function, level sets, numerical constructions
  • RePEc:wsi:igtrxx:v:07:y:2005:i:03:p:285-311
Language
  • English
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