Perfect Information Leader Election in log^* n + O(1) Rounds

  • Authors:
  • Alexander Russell;David Zuckerman

  • Affiliations:
  • -;-

  • Venue:
  • FOCS '98 Proceedings of the 39th Annual Symposium on Foundations of Computer Science
  • Year:
  • 1998

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Abstract

In the leader election problem, n players wish to elect a random leader. The difficulty is that some coalition of players may conspire to elect one of its own members. We adopt the perfect information model: all communication is by broadcast, and the bad players have unlimited computational power. Within a round, they may also wait to see the inputs of the good players. A protocol is called resilient if a good leader is elected with probability bounded away from 0.We give a simple, constructive leader election protocol that is resilient against coalitions of size bn, for any b 2.