For search games on general networks, the paper proves the deterministic expanding-search competitive ratio is achieved by a waterfilling strategy and gives constant-factor approximations to the randomized competitive ratio.
(2003).The theory of search games and rendezvous
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Competitive Search in a Network
For search games on general networks, the paper proves the deterministic expanding-search competitive ratio is achieved by a waterfilling strategy and gives constant-factor approximations to the randomized competitive ratio.