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research article

The Distributed Multiple Voting Problem

Bénézit, Florence  
•
Thiran, Patrick  
•
Vetterli, Martin  
2011
IEEE Journal of Selected Topics in Signal Processing

A networked set of agents holding binary opinions does not seem to be able to compute its majority opinion by means of local binary interactions only. However, the majority problem can be solved using two or more bits, instead of one [1]. Pairs of agents asynchronously exchange their states and update them according to a voting automaton. This paper presents binary voting automata as well as solutions to the multiple voting problem, where agents can vote for one candidate among |C| >= 2 candidates and need to determine the majority vote. The voting automata are derived from the pairwise gossip algorithm, which computes averages. In the binary case (|C| = 2), we focus on averages in dimension 1, but in the multiple case (|C| >= 2) we quantize gossip in dimension |C | - 1, which is larger than or equal to 1. We show in particular that a consensus on majority can be reached using 15 possible states (4 bits) for the ternary voting problem, and using 100 possible states (7 bits) for the quaternary voting problem.

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Type
research article
DOI
10.1109/JSTSP.2011.2114326
Web of Science ID

WOS:000293713900011

Author(s)
Bénézit, Florence  
Thiran, Patrick  
Vetterli, Martin  
Date Issued

2011

Published in
IEEE Journal of Selected Topics in Signal Processing
Volume

5

Issue

4

Start page

791

End page

804

Subjects

density classification

•

distributed estimation

•

gossip algorithms

•

voting problem

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
INDY2  
LCAV  
Available on Infoscience
July 13, 2011
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/69579
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