Pursuit—Evasion games on graphs

Pursuit—Evasion games on graphs Two players, Red and Blue, each independently choose a vertex of a connected graph G. Red must then pay Blue an amount equal to the distance between the vertices chosen. In this note, we investigate the value ν(G)of this pursuit‐evasion game for various classes of graphs G, as well as those optimal mixed strategies for achieving ν(G). It is shown that some rather counterintuitive behavior can occur. For example, there exist graphs G in which, for any optimal mixed strategy, Red never selects a vertex in the center of G. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Graph Theory Wiley

Pursuit—Evasion games on graphs

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Publisher
Wiley
Copyright
Copyright © 1988 Wiley Periodicals, Inc., A Wiley Company
ISSN
0364-9024
eISSN
1097-0118
DOI
10.1002/jgt.3190120205
Publisher site
See Article on Publisher Site

Abstract

Two players, Red and Blue, each independently choose a vertex of a connected graph G. Red must then pay Blue an amount equal to the distance between the vertices chosen. In this note, we investigate the value ν(G)of this pursuit‐evasion game for various classes of graphs G, as well as those optimal mixed strategies for achieving ν(G). It is shown that some rather counterintuitive behavior can occur. For example, there exist graphs G in which, for any optimal mixed strategy, Red never selects a vertex in the center of G.

Journal

Journal of Graph TheoryWiley

Published: Jun 1, 1988

References

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