Commitment Versus Persuasion in the Three-Party Constrained Voter Model

Mobilia, Mauro
April 2013
Journal of Statistical Physics;Apr2013, Vol. 151 Issue 1/2, p69
Academic Journal
In the framework of the three-party constrained voter model, where voters of two radical parties ( A and B) interact with 'centrists' ( C and C), we study the competition between a persuasive majority and a committed minority. In this model, A's and B's are incompatible voters that can convince centrists or be swayed by them. Here, radical voters are more persuasive than centrists, whose sub-population comprises susceptible agents C and a fraction ζ of centrist zealots C. Whereas C's may adopt the opinions A and B with respective rates 1+ δ and 1+ δ (with δ≥ δ>0), C's are committed individuals that always remain centrists. Furthermore, A and B voters can become (susceptible) centrists C with a rate 1. The resulting competition between commitment and persuasion is studied in the mean field limit and for a finite population on a complete graph. At mean field level, there is a continuous transition from a coexistence phase when ζ<Δ= δ/(1+ δ) to a phase where centrism prevails when ζ≥Δ. In a finite population of size N, demographic fluctuations lead to centrism consensus and the dynamics is characterized by the mean consensus time τ. Because of the competition between commitment and persuasion, here consensus is reached much slower ( ζ<Δ) or faster ( ζ≥Δ) than in the absence of zealots (when τ∼ N). In fact, when ζ<Δ and there is an initial minority of centrists, the mean consensus time grows as τ∼ N e, with N≫1 and [InlineEquation not available: see fulltext.]. The dynamics is thus characterized by a metastable state where the most persuasive voters and centrists coexist when δ> δ, whereas all species coexist when δ= δ. When ζ≥Δ and the initial density of centrists is low, one finds τ∼ln N (when N≫1). Our analytical findings are corroborated by stochastic simulations.


Related Articles

  • "Busting the Myth": Some Questions. Ludwig, Ma'ikwe Schaub // Communities;Summer2012, Issue 155, p54 

    The article offers the author's insights regarding the questions he wants to clarify to a group committed to consensus and a member asserting their rights to block. The author says that the consensus group makes conflict resolution non-optional. He states that the commitment of a group to...

  • Creating a Values-Based Road Map. Smergut, Peter // Nonprofit World;Mar/Apr2005, Vol. 23 Issue 2, p22 

    Provides tips for creating an organization that will prosper. Alignment of staff's values with the organization in order to gain commitment and consensus; Factors to be considered in creating a values committee; Assessment of the established values by conducting a survey.


    The article discusses a poll that shows former U.S. secretary of state Hillary Clinton's significant nationwide lead over Vermont senator Bernie Sanders for the primaries in February 2016. Topics discussed include online poll conducted on national sample of 3,700 adults, moderates likely to...

  • Resistance to Persuasion in Committed Romantic Relationships: Reactance Effects of Forewarning and Message Explicitness. Wagner, Thomas Richard // Ohio Communication Journal;2011, Vol. 49, p15 

    This experiment extends reactance theory to the context of persuasive communication in committed romantic relationships. Sixty-four couples participated in a comparison groups experiment where one partner attempted persuasion using either an implicit, explicit, or forewarning/explicit message....

  • Managing strategic consensus: the foundation of effective implementation. Floyd, Steven W.; Wooldridge, Bill // Executive (19389779);Nov1992, Vol. 6 Issue 4, p27 

    A frequent complaint of senior executives is that middle and operating managers fail to take the actions necessary to implement strategy. As one top manager told us, "It's been rather easy for us to decide where we wanted to go. The hard part is to get the organization to act on the new...

  • International Regimes and the Legitimacy of Rules: A Discourse-Ethical Approach. Ellis, Jaye // Alternatives: Global, Local, Political;Jul-Sep2002, Vol. 27 Issue 3, p273 

    Addresses the discourse-ethical approach of international regimes and the legitimacy of rules. Absence of a value consensus capable of undergirding a true sense of community at the international level; Charges of utopianism and idealism; Existence of fundamental disagreements regarding values...

  • A New Consensus On Housing. Reid, Bob // Journal of Housing & Community Development;Jul/Aug2002, Vol. 59 Issue 4, p6 

    Reports on the increase rate of consensus on housing needs in the U.S. Analysis of the 1999 American Housing Survey data; Number of working families with critical housing needs; Efforts of the government to address the critical housing needs of American families.

  • Census Catalog and Guide 1985.  // Marketing News;11/22/1985, Vol. 19 Issue 24, p22 

    The article announces the availability of the book "Consensus Catalog and Guide 1985," from the Bureau of the Consensus of the U.S. Department of Commerce.

  • A new European consensus: Reality or illusion? Hatheway, Jay // Harvard International Review;Summer90, Vol. 12 Issue 4, p28 

    Discusses the prospects for a philosophical-ideological consensus in Europe. Historical antecedents to the present ideological and philosophical turmoil; Impact of the Enlightenment; Future of ideological consensus.


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics