How to hide information for later use on networks

  • Authors:
  • Steve Alpern;Robbert Fokkink

  • Affiliations:
  • London School of Economics, Department of Applied Mathematics, London, UK;Institute of Applied Mathematics, Delft University of Technology, Delft, Netherlands

  • Venue:
  • GameNets'09 Proceedings of the First ICST international conference on Game Theory for Networks
  • Year:
  • 2009

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Abstract

In an accumulation game a Hider secretly distributes his given total wealth h1 among n locations while a Searcher picks r locations and confiscates the material placed there. The Hider wins if what is left at the remaining locations is at least 1 otherwise the Searcher wins. Accumulation games were originally introduced to study certain covert activities, but the game also relates to secret sharing and food caching. In this paper we introduce a network structure on the game, restricting the Searcher to pick locations that are near and show how this leads to combinatorial considerations.