Rendezvous Search with Revealed Information: Applications to the Line

نویسنده

  • Steve Alpern
چکیده

The symmetric rendezvous problem on a network Q asks how two players, forced to use the same mixed strategy, can minimize their expected meeting time, starting from a known initial distribution on the nodes of Q: This minimum is called the (symmetric) ‘rendezvous value’of Q: Traditionally, the players are assumed to receive no information during the play of the game. We consider the e¤ect on rendezvous times of giving the players some information about past actions and chance moves, enabling them to apply Bayesian updates to improve their knowledge of their partner’s whereabouts. We consider the case where they are placed a known distance apart on the line graph Q (‘symmetric rendezvous on the line’). These techniques can be used to give lower bounds on the rendezvous times of the original game (without any revealed information). Our approach is to concentrate on a general analysis of the e¤ect of revelations, rather than compute the best bounds possible with our techniques. MSC 2000: 90B40 Search theory keywords: rendezvous, search, common interest games, team theory

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تاریخ انتشار 2006