Randomized Pursuit-Evasion with Local Visibility

dc.contributor.authorKannan, Sampath
dc.contributor.authorIsler, Volkan
dc.contributor.authorKhanna, Sanjeev
dc.date2023-05-16T23:38:14.000
dc.date.accessioned2023-05-22T12:46:57Z
dc.date.available2023-05-22T12:46:57Z
dc.date.issued2006-02-15
dc.date.submitted2006-06-23T09:05:54-07:00
dc.description.abstractWe study the following pursuit-evasion game: One or more hunters are seeking to capture an evading rabbit on a graph. At each round, the rabbit tries to gather information about the location of the hunters but it can see them only if they are located on adjacent nodes. We show that two hunters suffice for catching rabbits with such local visibility with high probability. We distinguish between reactive rabbits who move only when a hunter is visible and general rabbits who can employ more sophisticated strategies. We present polynomial time algorithms that decide whether a graph G is hunter-win, that is, if a single hunter can capture a rabbit of either kind on G.
dc.description.commentsCopyright SIAM, 2006. Reprinted from SIAM Journal on Discrete Mathematics, Volume 20, Issue 1, 2006, pages 26-41.
dc.identifier.urihttps://repository.upenn.edu/handle/20.500.14332/6277
dc.legacy.articleid1254
dc.legacy.fulltexturlhttps://repository.upenn.edu/cgi/viewcontent.cgi?article=1254&context=cis_papers&unstamped=1
dc.source.issue239
dc.source.journalDepartmental Papers (CIS)
dc.source.peerreviewedtrue
dc.source.statuspublished
dc.subject.otherpursuit-evasion games
dc.subject.otherlocal information
dc.subject.otherpath planning
dc.subject.othervisibility
dc.titleRandomized Pursuit-Evasion with Local Visibility
dc.typeArticle
digcom.identifiercis_papers/239
digcom.identifier.contextkey175906
digcom.identifier.submissionpathcis_papers/239
digcom.typearticle
dspace.entity.typePublication
relation.isAuthorOfPublicationc3b357d5-3190-4fa6-86e9-6e6621137786
relation.isAuthorOfPublication6dba9e69-9dec-4ccb-b783-4aafb448170b
relation.isAuthorOfPublication.latestForDiscoveryc3b357d5-3190-4fa6-86e9-6e6621137786
upenn.schoolDepartmentCenterDepartmental Papers (CIS)
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