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A numerical approach to the “princess and monster” game on an interval. (English) Zbl 1179.91015

Bernhard, Pierre (ed.) et al., Advances in dynamic games and their applications. Analytical and numerical developments. Selected papers based on the presentations at the 12th international symposium on dynamic games (ISDG) and applications, Sophia Antipolis, France, July 3–6, 2006. Boston, MA: Birkhäuser (ISBN 978-0-8176-4833-6/hbk; 978-0-8176-4834-3/ebook). Annals of the International Society of Dynamic Games 10, 149-157 (2009).
Summary: R. Isaacs introduced princess and monster games in the final chapter of his classic book [Differential games. A mathematical theory with applications to warfare and pursuit, control and optimization. New York etc.: John Wiley and Sons, Inc. (1965; Zbl 0125.38001)]. The value of the princess and monster game on an interval is as of yet unknown. We present some numerical results to estimate this value.
For the entire collection see [Zbl 1175.91011].

MSC:

91A24 Positional games (pursuit and evasion, etc.)
91A05 2-person games
91A28 Signaling and communication in game theory

Citations:

Zbl 0125.38001
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