Research on opinion spreading has received
more and more attention in recent years. This paper focus on make a summary of
opinion evolution researches, we first review some classical opinion models,
and then introduce the existing result of improvement models from the aspect of
opinion space, model parameter, social network and so on. The current study’s
limitation and further research are also prospected at the end. By in-depth
understand the opinion spreading mechanism so as to guide and control the
public opinions, which is very useful and meaningful.
References
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Sznajd-Weron, K. and Sznajd, J. (2000) Opinion Evolution in Closed Community. International Journal of Modern Physics C, 11, 1157-1165. http://dx.doi.org/10.1142/S0129183100000936
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Clifford, P. and Sudbury, A. (1973) A Model for Spatial Conflict. Biometrika, 60, 581-588.
http://dx.doi.org/10.1093/biomet/60.3.581
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Galam, S. (2002) Minority Opinion Spreading in Random Geometry. The European Physical Journal B—Condensed Matter and Complex Systems, 25, 403-406. http://dx.doi.org/10.1140/epjb/e20020045
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Nowak, A., Szamrej, J. and Latané, B. (1990) From Private Attitude to Public Opinion: A Dynamic Theory of Social Impact. Psychological Review, 97, 362. http://dx.doi.org/10.1037/0033-295X.97.3.362
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Stauffer, D., Sousa, A. and Schulz, C. (2004) Discretized Opinion Dynamics of the Deffuant Model on Scale-Free Networks. Journal of Artificial Societies and Social Simulation, 7.
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Fortunato, S. (2004) The Krause-Hegselmann Consensus Model with Discrete Opinions. International Journal of Modern Physics C, 15, 1021-1029. http://dx.doi.org/10.1142/S0129183104006479
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Shang, Y.L. (2013) Deffuant Model with General Opinion Distributions: First Impression and Critical Confidence Bound. Complexity, 19, 38-49. http://dx.doi.org/10.1002/cplx.21465
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Amblard, F. and Deffuant, G. (2004) The Role of Network Topology on Extremism Propagation with the Relative Agreement Opinion Dynamics. Physica A: Statistical Mechanics and Its Applications, 343, 725-738.
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Kurmyshev, E., Juárez, H.A. and González-Silva, R.A. (2011) Dynamics of Bounded Confidence Opinion in Heterogeneous Social Networks: Concord against Partial Antagonism. Physica A: Statistical Mechanics and Its Applications, 390, 2945-2955.
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Jacobmeier, D. (2005) Multidimensional Consensus Model on a Barabási-Albert Network. International Journal of Modern Physics C, 16, 633-646. http://dx.doi.org/10.1142/S0129183105007388
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Fortunato, S. (2004) Universality of the Threshold for Complete Consensus for the Opinion Dynamics of Deffuant et al. International Journal of Modern Physics C, 15, 1301-1307. http://dx.doi.org/10.1142/S0129183104006728
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Fortunato, S. (2005) On the Consensus Threshold for the Opinion Dynamics of Krause-Hegselmann. International Journal of Modern Physics C, 16, 259-270. http://dx.doi.org/10.1142/S0129183105007078
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Lorenz, J. (2005) A Stabilization Theorem for Dynamics of Conti-nuous Opinions. Physica A: Statistical Mechanics and Its Applications, 355, 217-223.
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Zhang, W., He, M.-S. and Jin, R. (2014) Opinion Dynamics in Complex Networks. Lithuanian Journal of Physics, 53.
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Liang, H.L., Yang, Y.P. and Wang, X.F. (2013) Opinion Dynamics in Networks with Heterogeneous Confidence and Influence. Physica A, 392, 2248-2256. http://dx.doi.org/10.1016/j.physa.2013.01.008
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Shang, Y.L. (2014) An Agent Based Model for Opinion Dynamics with Random Confidence Threshold. Communications in Nonlinear Science and Numerical Simulation, 19, 3766-3777. http://dx.doi.org/10.1016/j.cnsns.2014.03.033
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Lorenz, J. and Urbig, D. (2007) About the Power to Enforce and Prevent Consensus by Manipulating Communication Rules. Advances in Complex Systems, 10, 251-269. http://dx.doi.org/10.1142/S0219525907000982
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Jacobmeier, D. (2006) Focusing of Opinions in the Deffuant Model: First Impression Counts. International Journal of Modern Physics C, 17, 1801-1808. http://dx.doi.org/10.1142/S0129183106010108
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Jalili, M. (2013) Social Power and Opinion Formation in Complex Networks. Physica A: Statistical Mechanics and Its Applications, 392, 959-966.
[22]
Li, P.-P., Zheng, D.-F. and Hui, P.M. (2006) Dynamics of Opinion Formation in a Small-World Network. Physical Review E, 73, Article ID: 056128. http://dx.doi.org/10.1103/PhysRevE.73.056128
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Gandica, Y., et al. (2010) Continuous Opinion Model in Small-World Directed Networks. Physica A: Statistical Mechanics and Its Applications, 389, 5864-5870.
[24]
Stauffer, D. and Meyer-Ortmanns, H. (2004) Simulation of Consensus Model of Deffuant et al. on a Barabasi-Albert Network. International Journal of Modern Physics C, 15, 241-246. http://dx.doi.org/10.1142/S0129183104005644
[25]
Jacobmeier, D. (2005) Multidimensional Consensus Model on a Barabási-Albert Network. International Journal of Modern Physics C, 16, 633-646. http://dx.doi.org/10.1142/S0129183105007388
Jalili, M. (2013) Social Power and Opinion Formation in Complex Net-works. Physica A: Statistical Mechanics and Its Applications, 392, 959-966.
[28]
Jalili, M. (2013) Effects of Leaders and Social Power on Opinion Formation in Complex Networks. Simulation, 89, 578-588. http://dx.doi.org/10.1177/0037549712462621
[29]
Boccara, N. (2008) Models of Opinion Formation: Influence of Opinion Leaders. International Journal of Modern Physics C, 19, 93-109. http://dx.doi.org/10.1142/S0129183108011954
[30]
Weisbuch, G., et al. (2002) Meet, Discuss, and Segregate! Complexity, 7, 55-63. http://dx.doi.org/10.1002/cplx.10031
[31]
Hou, L., et al. (2014) Prediction of Collective Opinion in Consensus Formation. International Journal of Modern Physics C, 25.
[32]
Ramirez-Cano, D. and Pitt, J. (2006) Fol-low the Leader: Profiling Agents in an Opinion Formation Model of Dynamic Confidence and Individual Mind-Sets. IEEE/WIC/ACM International Conference on Intelligent Agent Technology, IAT’06.
[33]
Fu, G.Y., Zhang, W.D. and Li, Z.J. (2015) Opinion Dynamics of Modified Hegselmann-Krause Model in a Group- Based Population with Hetero-geneous Bounded Confidence. Physica A: Statistical Mechanics and Its Applications, 419, 558-565.
[34]
Jalili, M. (2013) Effects of Leaders and Social Power on Opinion Formation in Complex Networks. Simulation, 89, 578-588. http://dx.doi.org/10.1177/0037549712462621
[35]
Afshar, M. and Asadpour, M. (2010) Opinion Formation by In-formed Agents. Journal of Artificial Societies and Social Simulation, 13, 5.
[36]
Borra, D. and Lorenzi, T. (2013) A Hybrid Model for Opinion Formation. Zeitschrift für Angewandte Mathematik und Physik, 64, 419-437. http://dx.doi.org/10.1007/s00033-012-0259-z
[37]
Liu, Q.P. and Wang, X.F. (2013) Opinion Dynamics with Similari-ty-Based Random Neighbors. Scientific Reports, 3.
[38]
Grauwin, S. and Jensen, P. (2012) Opinion Group Formation and Dynamics: Structures That Last from Nonlasting Entities. Physical Review E, 85, Article ID: 066113. http://dx.doi.org/10.1103/PhysRevE.85.066113
[39]
Zhang, J.B. and Hong, Y.G. (2013) Opinion Evolution Analysis for Short-Range and Long-Range Deffuant-Weisbuch Models. Physica A, 392, 5289-5297. http://dx.doi.org/10.1016/j.physa.2013.07.014
[40]
Li, S.S. and Zhang, S.Y. (2010) Leader and Follower: Agents in an Opinion Dynamics and Bounded Confidence Model on the Stochastic Movement World. IEEE 2nd International Conference on Computational Intelligence and Natural Computing Proceedings (CINC).
[41]
Deffuant, G., et al. (2000) Mixing Beliefs among Interacting Agents. Advances in Complex Systems, 3, 87-98.
[42]
Hegselmann, R. and Krause, U. (2002) Opinion Dynamics and Bounded Confidence Models, Analysis, and Simulation. Journal of Artificial Societies and Social Simulation, 5.
[43]
Sznajd-Weron, K. and Sznajd, J. (2000) Opinion Evolution in Closed Community. International Journal of Modern Physics C, 11, 1157-1165. http://dx.doi.org/10.1142/S0129183100000936
[44]
Clifford, P. and Sudbury, A. (1973) A Model for Spatial Conflict. Biometrika, 60, 581-588.
http://dx.doi.org/10.1093/biomet/60.3.581
[45]
Galam, S. (2002) Minority Opinion Spreading in Random Geometry. The European Physical Journal B—Condensed Matter and Complex Systems, 25, 403-406. http://dx.doi.org/10.1140/epjb/e20020045
[46]
Nowak, A., Szamrej, J. and Latané, B. (1990) From Private Attitude to Public Opinion: A Dynamic Theory of Social Impact. Psychological Review, 97, 362. http://dx.doi.org/10.1037/0033-295X.97.3.362
[47]
Stauffer, D., Sousa, A. and Schulz, C. (2004) Discretized Opinion Dynamics of the Deffuant Model on Scale-Free Networks. Journal of Artificial Societies and Social Simulation, 7.
[48]
Fortunato, S. (2004) The Krause-Hegselmann Consensus Model with Discrete Opinions. International Journal of Modern Physics C, 15, 1021-1029. http://dx.doi.org/10.1142/S0129183104006479
[49]
Shang, Y.L. (2013) Deffuant Model with General Opinion Distributions: First Impression and Critical Confidence Bound. Complexity, 19, 38-49. http://dx.doi.org/10.1002/cplx.21465
[50]
Amblard, F. and Deffuant, G. (2004) The Role of Network Topology on Extremism Propagation with the Relative Agreement Opinion Dynamics. Physica A: Statistical Mechanics and Its Applications, 343, 725-738.
[51]
Kurmyshev, E., Juárez, H.A. and González-Silva, R.A. (2011) Dynamics of Bounded Confidence Opinion in Heterogeneous Social Networks: Concord against Partial Antagonism. Physica A: Statistical Mechanics and Its Applications, 390, 2945-2955.
[52]
Jacobmeier, D. (2005) Multidimensional Consensus Model on a Barabási-Albert Network. International Journal of Modern Physics C, 16, 633-646. http://dx.doi.org/10.1142/S0129183105007388
[53]
Fortunato, S. (2004) Universality of the Threshold for Complete Consensus for the Opinion Dynamics of Deffuant et al. International Journal of Modern Physics C, 15, 1301-1307. http://dx.doi.org/10.1142/S0129183104006728
[54]
Fortunato, S. (2005) On the Consensus Threshold for the Opinion Dynamics of Krause-Hegselmann. International Journal of Modern Physics C, 16, 259-270. http://dx.doi.org/10.1142/S0129183105007078
[55]
Lorenz, J. (2005) A Stabilization Theorem for Dynamics of Conti-nuous Opinions. Physica A: Statistical Mechanics and Its Applications, 355, 217-223.
[56]
Zhang, W., He, M.-S. and Jin, R. (2014) Opinion Dynamics in Complex Networks. Lithuanian Journal of Physics, 53.
[57]
Liang, H.L., Yang, Y.P. and Wang, X.F. (2013) Opinion Dynamics in Networks with Heterogeneous Confidence and Influence. Physica A, 392, 2248-2256. http://dx.doi.org/10.1016/j.physa.2013.01.008
[58]
Shang, Y.L. (2014) An Agent Based Model for Opinion Dynamics with Random Confidence Threshold. Communications in Nonlinear Science and Numerical Simulation, 19, 3766-3777. http://dx.doi.org/10.1016/j.cnsns.2014.03.033
[59]
Lorenz, J. and Urbig, D. (2007) About the Power to Enforce and Prevent Consensus by Manipulating Communication Rules. Advances in Complex Systems, 10, 251-269. http://dx.doi.org/10.1142/S0219525907000982
[60]
Jacobmeier, D. (2006) Focusing of Opinions in the Deffuant Model: First Impression Counts. International Journal of Modern Physics C, 17, 1801-1808. http://dx.doi.org/10.1142/S0129183106010108
[61]
Jalili, M. (2013) Social Power and Opinion Formation in Complex Networks. Physica A: Statistical Mechanics and Its Applications, 392, 959-966.
[62]
Li, P.-P., Zheng, D.-F. and Hui, P.M. (2006) Dynamics of Opinion Formation in a Small-World Network. Physical Review E, 73, Article ID: 056128. http://dx.doi.org/10.1103/PhysRevE.73.056128
[63]
Gandica, Y., et al. (2010) Continuous Opinion Model in Small-World Directed Networks. Physica A: Statistical Mechanics and Its Applications, 389, 5864-5870.
[64]
Stauffer, D. and Meyer-Ortmanns, H. (2004) Simulation of Consensus Model of Deffuant et al. on a Barabasi-Albert Network. International Journal of Modern Physics C, 15, 241-246. http://dx.doi.org/10.1142/S0129183104005644
[65]
Jacobmeier, D. (2005) Multidimensional Consensus Model on a Barabási-Albert Network. International Journal of Modern Physics C, 16, 633-646. http://dx.doi.org/10.1142/S0129183105007388
Jalili, M. (2013) Social Power and Opinion Formation in Complex Net-works. Physica A: Statistical Mechanics and Its Applications, 392, 959-966.
[68]
Jalili, M. (2013) Effects of Leaders and Social Power on Opinion Formation in Complex Networks. Simulation, 89, 578-588. http://dx.doi.org/10.1177/0037549712462621
[69]
Boccara, N. (2008) Models of Opinion Formation: Influence of Opinion Leaders. International Journal of Modern Physics C, 19, 93-109. http://dx.doi.org/10.1142/S0129183108011954
[70]
Weisbuch, G., et al. (2002) Meet, Discuss, and Segregate! Complexity, 7, 55-63. http://dx.doi.org/10.1002/cplx.10031
[71]
Hou, L., et al. (2014) Prediction of Collective Opinion in Consensus Formation. International Journal of Modern Physics C, 25.
[72]
Ramirez-Cano, D. and Pitt, J. (2006) Fol-low the Leader: Profiling Agents in an Opinion Formation Model of Dynamic Confidence and Individual Mind-Sets. IEEE/WIC/ACM International Conference on Intelligent Agent Technology, IAT’06.
[73]
Fu, G.Y., Zhang, W.D. and Li, Z.J. (2015) Opinion Dynamics of Modified Hegselmann-Krause Model in a Group- Based Population with Hetero-geneous Bounded Confidence. Physica A: Statistical Mechanics and Its Applications, 419, 558-565.
[74]
Jalili, M. (2013) Effects of Leaders and Social Power on Opinion Formation in Complex Networks. Simulation, 89, 578-588. http://dx.doi.org/10.1177/0037549712462621
[75]
Afshar, M. and Asadpour, M. (2010) Opinion Formation by In-formed Agents. Journal of Artificial Societies and Social Simulation, 13, 5.
[76]
Borra, D. and Lorenzi, T. (2013) A Hybrid Model for Opinion Formation. Zeitschrift für Angewandte Mathematik und Physik, 64, 419-437. http://dx.doi.org/10.1007/s00033-012-0259-z
[77]
Liu, Q.P. and Wang, X.F. (2013) Opinion Dynamics with Similarity-Based Random Neighbors. Scientific Reports, 3.
[78]
Grauwin, S. and Jensen, P. (2012) Opinion Group Formation and Dynamics: Structures That Last from Nonlasting Entities. Physical Review E, 85, Article ID: 066113. http://dx.doi.org/10.1103/PhysRevE.85.066113
[79]
Zhang, J.B. and Hong, Y.G. (2013) Opinion Evolution Analysis for Short-Range and Long-Range Deffuant-Weisbuch Models. Physica A, 392, 5289-5297. http://dx.doi.org/10.1016/j.physa.2013.07.014
[80]
Li, S.S. and Zhang, S.Y. (2010) Leader and Follower: Agents in an Opinion Dynamics and Bounded Confidence Model on the Stochastic Movement World. IEEE 2nd International Conference on Computational Intelligence and Natural Computing Proceedings (CINC).
[81]
Deffuant, G., et al. (2000) Mixing Beliefs among Interacting Agents. Advances in Complex Systems, 3, 87-98.
[82]
Hegselmann, R. and Krause, U. (2002) Opinion Dynamics and Bounded Confidence Models, Analysis, and Simulation. Journal of Artificial Societies and Social Simulation, 5.
[83]
Sznajd-Weron, K. and Sznajd, J. (2000) Opinion Evolution in Closed Community. International Journal of Modern Physics C, 11, 1157-1165. http://dx.doi.org/10.1142/S0129183100000936
[84]
Clifford, P. and Sudbury, A. (1973) A Model for Spatial Conflict. Biometrika, 60, 581-588.
http://dx.doi.org/10.1093/biomet/60.3.581
[85]
Galam, S. (2002) Minority Opinion Spreading in Random Geometry. The European Physical Journal B—Condensed Matter and Complex Systems, 25, 403-406. http://dx.doi.org/10.1140/epjb/e20020045
[86]
Nowak, A., Szamrej, J. and Latané, B. (1990) From Private Attitude to Public Opinion: A Dynamic Theory of Social Impact. Psychological Review, 97, 362. http://dx.doi.org/10.1037/0033-295X.97.3.362
[87]
Stauffer, D., Sousa, A. and Schulz, C. (2004) Discretized Opinion Dynamics of the Deffuant Model on Scale-Free Networks. Journal of Artificial Societies and Social Simulation, 7.
[88]
Fortunato, S. (2004) The Krause-Hegselmann Consensus Model with Discrete Opinions. International Journal of Modern Physics C, 15, 1021-1029. http://dx.doi.org/10.1142/S0129183104006479
[89]
Shang, Y.L. (2013) Deffuant Model with General Opinion Distributions: First Impression and Critical Confidence Bound. Complexity, 19, 38-49. http://dx.doi.org/10.1002/cplx.21465
[90]
Amblard, F. and Deffuant, G. (2004) The Role of Network Topology on Extremism Propagation with the Relative Agreement Opinion Dynamics. Physica A: Statistical Mechanics and Its Applications, 343, 725-738.
[91]
Kurmyshev, E., Juárez, H.A. and González-Silva, R.A. (2011) Dynamics of Bounded Confidence Opinion in Heterogeneous Social Networks: Concord against Partial Antagonism. Physica A: Statistical Mechanics and Its Applications, 390, 2945-2955.
[92]
Jacobmeier, D. (2005) Multidimensional Consensus Model on a Barabási-Albert Network. International Journal of Modern Physics C, 16, 633-646. http://dx.doi.org/10.1142/S0129183105007388
[93]
Fortunato, S. (2004) Universality of the Threshold for Complete Consensus for the Opinion Dynamics of Deffuant et al. International Journal of Modern Physics C, 15, 1301-1307. http://dx.doi.org/10.1142/S0129183104006728
[94]
Fortunato, S. (2005) On the Consensus Threshold for the Opinion Dynamics of Krause-Hegselmann. International Journal of Modern Physics C, 16, 259-270. http://dx.doi.org/10.1142/S0129183105007078
[95]
Lorenz, J. (2005) A Stabilization Theorem for Dynamics of Conti-nuous Opinions. Physica A: Statistical Mechanics and Its Applications, 355, 217-223.
[96]
Zhang, W., He, M.-S. and Jin, R. (2014) Opinion Dynamics in Complex Networks. Lithuanian Journal of Physics, 53.
[97]
Liang, H.L., Yang, Y.P. and Wang, X.F. (2013) Opinion Dynamics in Networks with Heterogeneous Confidence and Influence. Physica A, 392, 2248-2256. http://dx.doi.org/10.1016/j.physa.2013.01.008
[98]
Shang, Y.L. (2014) An Agent Based Model for Opinion Dynamics with Random Confidence Threshold. Communications in Nonlinear Science and Numerical Simulation, 19, 3766-3777. http://dx.doi.org/10.1016/j.cnsns.2014.03.033
[99]
Lorenz, J. and Urbig, D. (2007) About the Power to Enforce and Prevent Consensus by Manipulating Communication Rules. Advances in Complex Systems, 10, 251-269. http://dx.doi.org/10.1142/S0219525907000982
[100]
Jacobmeier, D. (2006) Focusing of Opinions in the Deffuant Model: First Impression Counts. International Journal of Modern Physics C, 17, 1801-1808. http://dx.doi.org/10.1142/S0129183106010108
[101]
Jalili, M. (2013) Social Power and Opinion Formation in Complex Networks. Physica A: Statistical Mechanics and Its Applications, 392, 959-966.
[102]
Li, P.-P., Zheng, D.-F. and Hui, P.M. (2006) Dynamics of Opinion Formation in a Small-World Network. Physical Review E, 73, Article ID: 056128. http://dx.doi.org/10.1103/PhysRevE.73.056128
[103]
Gandica, Y., et al. (2010) Continuous Opinion Model in Small-World Directed Networks. Physica A: Statistical Mechanics and Its Applications, 389, 5864-5870.
[104]
Stauffer, D. and Meyer-Ortmanns, H. (2004) Simulation of Consensus Model of Deffuant et al. on a Barabasi-Albert Network. International Journal of Modern Physics C, 15, 241-246. http://dx.doi.org/10.1142/S0129183104005644
[105]
Jacobmeier, D. (2005) Multidimensional Consensus Model on a Barabási-Albert Network. International Journal of Modern Physics C, 16, 633-646. http://dx.doi.org/10.1142/S0129183105007388
Jalili, M. (2013) Social Power and Opinion Formation in Complex Net-works. Physica A: Statistical Mechanics and Its Applications, 392, 959-966.
[108]
Jalili, M. (2013) Effects of Leaders and Social Power on Opinion Formation in Complex Networks. Simulation, 89, 578-588. http://dx.doi.org/10.1177/0037549712462621
[109]
Boccara, N. (2008) Models of Opinion Formation: Influence of Opinion Leaders. International Journal of Modern Physics C, 19, 93-109. http://dx.doi.org/10.1142/S0129183108011954
[110]
Weisbuch, G., et al. (2002) Meet, Discuss, and Segregate! Complexity, 7, 55-63. http://dx.doi.org/10.1002/cplx.10031
[111]
Hou, L., et al. (2014) Prediction of Collective Opinion in Consensus Formation. International Journal of Modern Physics C, 25.
[112]
Ramirez-Cano, D. and Pitt, J. (2006) Fol-low the Leader: Profiling Agents in an Opinion Formation Model of Dynamic Confidence and Individual Mind-Sets. IEEE/WIC/ACM International Conference on Intelligent Agent Technology, IAT’06.
[113]
Fu, G.Y., Zhang, W.D. and Li, Z.J. (2015) Opinion Dynamics of Modified Hegselmann-Krause Model in a Group- Based Population with Hetero-geneous Bounded Confidence. Physica A: Statistical Mechanics and Its Applications, 419, 558-565.
[114]
Jalili, M. (2013) Effects of Leaders and Social Power on Opinion Formation in Complex Networks. Simulation, 89, 578-588. http://dx.doi.org/10.1177/0037549712462621
[115]
Afshar, M. and Asadpour, M. (2010) Opinion Formation by In-formed Agents. Journal of Artificial Societies and Social Simulation, 13, 5.
[116]
Borra, D. and Lorenzi, T. (2013) A Hybrid Model for Opinion Formation. Zeitschrift für Angewandte Mathematik und Physik, 64, 419-437. http://dx.doi.org/10.1007/s00033-012-0259-z
[117]
Liu, Q.P. and Wang, X.F. (2013) Opinion Dynamics with Similarity-Based Random Neighbors. Scientific Reports, 3.
[118]
Grauwin, S. and Jensen, P. (2012) Opinion Group Formation and Dynamics: Structures That Last from Nonlasting Entities. Physical Review E, 85, Article ID: 066113. http://dx.doi.org/10.1103/PhysRevE.85.066113
[119]
Zhang, J.B. and Hong, Y.G. (2013) Opinion Evolution Analysis for Short-Range and Long-Range Deffuant-Weisbuch Models. Physica A, 392, 5289-5297. http://dx.doi.org/10.1016/j.physa.2013.07.014
[120]
Li, S.S. and Zhang, S.Y. (2010) Leader and Follower: Agents in an Opinion Dynamics and Bounded Confidence Model on the Stochastic Movement World. IEEE 2nd International Conference on Computational Intelligence and Natural Computing Proceedings (CINC).
