Voting models in random networks

Mehmet E. Yildiz, Roberto Pagliari, Asuman Ozdaglar, Anna Scaglione

Research output: Chapter in Book/Report/Conference proceedingConference contribution

23 Scopus citations

Abstract

A crucial problem of Social Sciences is under what conditions agreement, or disagreement, emerge in a network of interacting agents. This topic has application in many contexts, including business and marketing decisions, with potential impact on information and technological networks. In this paper we consider a particular model of interaction between a group of individuals connected through a network of acquaintances. In the first model, a node waits an exponentially time with parameter one, and when it expires it chooses one of its neighbors' at random and adopts its decision. In the second one, the node chooses the opinion which is the most adopted by its neighbors (hence, majority rule). We show how different updating rule of the agent' state lead to different emerging patterns, namely, agreement and disagreement. In addition, in the case of agreement, we provide bounds on the time to convergence for various types of graphs.

Original languageEnglish (US)
Title of host publication2010 Information Theory and Applications Workshop, ITA 2010 - Conference Proceedings
Pages419-425
Number of pages7
DOIs
StatePublished - 2010
Event2010 Information Theory and Applications Workshop, ITA 2010 - San Diego, CA, United States
Duration: Jan 31 2010Feb 5 2010

Publication series

Name2010 Information Theory and Applications Workshop, ITA 2010 - Conference Proceedings

Other

Other2010 Information Theory and Applications Workshop, ITA 2010
CountryUnited States
CitySan Diego, CA
Period1/31/102/5/10

ASJC Scopus subject areas

  • Computer Science Applications
  • Information Systems

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    Yildiz, M. E., Pagliari, R., Ozdaglar, A., & Scaglione, A. (2010). Voting models in random networks. In 2010 Information Theory and Applications Workshop, ITA 2010 - Conference Proceedings (pp. 419-425). [5454090] (2010 Information Theory and Applications Workshop, ITA 2010 - Conference Proceedings). https://doi.org/10.1109/ITA.2010.5454090