Effect of zealotry in high-dimensional opinion dynamics models

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 91, Issue 2, 2015, Pages

  Waagen, Alex ^a   Verma, Gunjan ^b   Chan, Kevin ^b   Swami, Ananthram ^b   D'Souza, Raissa ^a,c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b U S ARMY RESEARCH LABORATORY   (United States)

^c SANTA FE INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARBITRARY NUMBER; CRITICAL VALUE; DYNAMICAL EQUATION; HIGH DIMENSIONS; HIGH-DIMENSIONAL; LOGNORMAL CURVE; OPINION DYNAMICS; THRESHOLD-VALUE;

CONDENSED MATTER PHYSICS;

EID: 84923247195     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.91.022811     Document Type: Article

References (26)

1. C. F. Mela, S. Gupta, and D. R. Lehmann, The long-term impact of promotion and advertising on consumer brand choice, J. Market. Res. 34, 248 (1997). 10.2307/3151862
2. A. M. Kaplan and M. Haenlein, Users of the world, unite! The challenges and opportunities of social media, Business Horizons 53, 59 (2010). 0007-6813 10.1016/j.bushor.2009.09.003
3. M. Fiorina, S. J. Abrams, and J. Pope, Culture War? The Myth of a Polarized America (Pearson Longman, New York, 2005).
4. Q. Wiktorowicz, Radical Islam Rising: Muslim Extremism in the West (Rowman & Littlefield, Lanham, MD, 2005).
5. C. Castellano, S. Fortunato, and V. Loreto, Statistical physics of social dynamics, Rev. Mod. Phys. 81, 591 (2009). RMPHAT 0034-6861 10.1103/RevModPhys.81.591
6. S. Galam and F. Jacobs, The role of inflexible minorities in the breaking of democratic opinion dynamics, Phys. A (Amsterdam) 381, 366 (2007). PHYADX 0378-4371 10.1016/j.physa.2007.03.034
7. M. Mobilia, A. Petersen, and S. Redner, On the role of zealotry in the voter model, J. Stat. Mech.: Theor. Exper. (2007) P08029. 10.1088/1742-5468/2007/08/P08029
8. E. Yildiz, D. Acemoglu, A. E. Ozdaglar, A. Saberi, and A. Scaglione, Discrete opinion dynamics with stubborn agents, Soc. Sci. Res. Network (2011), doi: 10.2139/ssrn.1744113.
9. J. Xie, S. Sreenivasan, G. Korniss, W. Zhang, C. Lim, and B. K. Szymanski, Social consensus through the influence of committed minorities, Phys. Rev. E 84, 011130 (2011). 10.1103/PhysRevE.84.011130
10. M. Mobilia, Does a single zealot affect an infinite group of voters?, Phys. Rev. Lett. 91, 028701 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.028701
11. M. Mobilia and I. T. Georgiev, Voting and catalytic processes with inhomogeneities, Phys. Rev. E 71, 046102 (2005). PLEEE8 1539-3755 10.1103/PhysRevE.71.046102
12. J. Xie, J. Emenheiser, M. Kirby, S. Sreenivasan, B. K. Szymanski, and G. Korniss, Evolution of opinions on social networks in the presence of competing committed groups, PLoS One 7, e33215 (2012). 10.1371/journal.pone.0033215
13. G. Verma, A. Swami, and K. Chan, The impact of competing zealots on opinion dynamics, Phys. A (Amsterdam) 395, 310 (2014). PHYADX 0378-4371 10.1016/j.physa.2013.09.045
14. L. Steels, A self-organizing spatial vocabulary, Artif. Life 2, 319 (1995). ARLIEY 1064-5462 10.1162/artl.1995.2.3.319
15. A. Barrat, A. Baronchelli, L. DallAsta, and V. Loreto, Agreement dynamics on interaction networks with diverse topologies, Chaos 17, 026111 (2007). CHAOEH 1054-1500 10.1063/1.2734403
16. S. K. Maity, T. V. Manoj, and A. Mukherjee, Opinion formation in time-varying social networks: The case of the naming game, Phys. Rev. E 86, 036110 (2012). PLEEE8 1539-3755 10.1103/PhysRevE.86.036110
17. C. Nardini, B. Kozma, and A. Barrat, Who's talking first? Consensus or lack thereof in coevolving opinion formation models, Phys. Rev. Lett. 100, 158701 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.158701
18. A. Baronchelli, V. Loreto, and L. Steels, In-depth analysis of the naming game dynamics: The homogeneous mixing case, Int. J. Mod. Phys. C 19, 785 (2008). IJMPEO 0129-1831 10.1142/S0129183108012522
19. R. M. May and W. J. Leonard, Nonlinear aspects of competition between three species, SIAM J. Appl. Math. 29, 243 (1975). 10.1137/0129022
20. S. Kass and K. Bryla, Rock paper scissors spock lizard, 1995, http://www.samkass.com/theories/RPSSL.html.
21. L. Frachebourg and P. L. Krapivsky, Fixation in a cyclic lotka-volterra model, J. Phys. A: Math. Gen. 31, L287 (1998). JPHAC5 0305-4470 10.1088/0305-4470/31/15/001
22. R. Hegselmann and U. Krause, Opinion dynamics and bounded confidence models, analysis, and simulation, J. Artific. Societies Social Simul. 5 (3), (2002).
23. J. Lorenz, Continuous opinion dynamics of multidimensional allocation problems under bounded confidence. More dimensions lead to better chances for consensus, Eur. J. Economic Social Syst. 19, 213 (2006).
24. P. Chen and S. Redner, Majority rule dynamics in finite dimensions, Phys. Rev. E 71, 036101 (2005). PLEEE8 1539-3755 10.1103/PhysRevE.71.036101
25. J.-S. Yang, I.-m. Kim, and W. Kwak, Existence of an upper critical dimension in the majority voter model, Phys. Rev. E 77, 051122 (2008). PLEEE8 1539-3755 10.1103/PhysRevE.77.051122
26. M. Mitzenmacher, A brief history of generative models for power law and lognormal distributions, Internet Math. 1, 226 (2007). 10.1080/15427951.2004.10129088