Technical Reports (CIS)

Document Type

Technical Report

Date of this Version

January 2003

Comments

University of Pennsylvania Department of Computer and Information Science Technical Report No. MS-CIS-03-25.

Abstract

We 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.

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Date Posted: 04 August 2005