Interval consensus: From quantized gossip to voting

  • Authors:
  • Florence Benezit;Patrick Thiran;Martin Vetterli

  • Affiliations:
  • EPFL, School of IC, CH-1015 Lausanne, Switzerland;EPFL, School of IC, CH-1015 Lausanne, Switzerland;EPFL, School of IC, CH-1015 Lausanne, Switzerland

  • Venue:
  • ICASSP '09 Proceedings of the 2009 IEEE International Conference on Acoustics, Speech and Signal Processing
  • Year:
  • 2009

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Abstract

We design distributed and quantized average consensus algorithms on arbitrary connected networks. By construction, quantized algorithms cannot produce a real, analog average. Instead, our algorithm reaches consensus on the quantized interval that contains the average. We prove that this consensus in reached in finite time almost surely. As a byproduct of this convergence result, we show that the majority voting problem is solvable with only 2 bits of memory per agent.