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## Opinion dynamics and bounded confidence: Models, analysis and simulation (2002)

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- [jasss.soc.surrey.ac.uk]
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- [www.informatik.uni-bremen.de]
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### Other Repositories/Bibliography

Venue: | Journal of Artificial Societies and Social Simulation |

Citations: | 228 - 4 self |

### Citations

379 |
Reaching a consensus
- DeGroot
- 1974
(Show Context)
Citation Context ...nderstand complex phenomena found empirically about groups [13]. See also thesrelated mathematical analysis by F. Harary [16].) Another source of opinion dynamicssis the work by M.H. De Groot in 1974 =-=[8]-=- and by K. Lehrer in 1975 [23] and subsequentswork by C. G. Wagner, S. Chatterjee, E. Seneta, J. Cohen among others. (See [27], [4],s[5], [6] and the references given therein. There is an interesting ... |

159 |
Mixing beliefs among interacting agents
- Deffuant, Neau, et al.
(Show Context)
Citation Context ...earsmodel within this line of thinking was formulated and analyzed in [20], [21]. For thissmodel see also [2], [9], [10] and [18]. A model similar in spirit has recently beensinvestigated ins[28] and =-=[7]-=-. Of course, having an explicit mathematical model does notsmean at all that one has explicit mathematical answers. Though elementary, the modelsis nonlinear in that the structure of the model changes... |

90 |
A formal theory of social power
- French
- 1956
(Show Context)
Citation Context ...ithout an explicit formulation of a mathematical model.sAn early formulation of such a model was given by J.R.P. French in 1956 in order tosunderstand complex phenomena found empirically about groups =-=[13]-=-. See also thesrelated mathematical analysis by F. Harary [16].) Another source of opinion dynamicssis the work by M.H. De Groot in 1974 [8] and by K. Lehrer in 1975 [23] and subsequentswork by C. G. ... |

89 |
Towards consensus: Some convergence theorems on repeated averaging
- Chatterjee, Seneta
- 1977
(Show Context)
Citation Context ...source of opinion dynamicssis the work by M.H. De Groot in 1974 [8] and by K. Lehrer in 1975 [23] and subsequentswork by C. G. Wagner, S. Chatterjee, E. Seneta, J. Cohen among others. (See [27], [4],s=-=[5]-=-, [6] and the references given therein. There is an interesting connection to the Delphistechnique for pooling opinions of experts, cf. [8].) The focus of these contributions is onsconsensus and how t... |

82 | A discrete nonlinear and non-autonomous model of consensus formation
- Krause
- 2000
(Show Context)
Citation Context ...ded can be carried out by powerful linearstechniques such as matrix theory, Markov chains and graph theory. The first nonlinearsmodel within this line of thinking was formulated and analyzed in [20], =-=[21]-=-. For thissmodel see also [2], [9], [10] and [18]. A model similar in spirit has recently beensinvestigated ins[28] and [7]. Of course, having an explicit mathematical model does notsmean at all that ... |

71 |
Social influence and opinions
- Friedkin, Johnsen
- 1990
(Show Context)
Citation Context ...at time t.sThis model has been proposed and employed to assess opinion pooling by a dialoguesamong experts [8], [23].sThere is an interesting variation of this model developed by Friedkin and Johnsen =-=[11]-=-,s[12]. This model addresses opinion formation under social influence and assumes thatsagent i adheres to his initial opinion to a certain degree ig and by a susceptibility ofs1 igsthe agent is social... |

48 |
Social influence networks and opinion change
- Friedkin, Johnsen
- 1999
(Show Context)
Citation Context ... as a fundamental featuresfrom justice to epistemology. The importancesof modelling disagreement besidesconsensus was pointed out especially by R. P. Abelson [1] and by N.E. Friedkin andsE.C. Johnsen =-=[12]-=-.s2 From French to Friedkin/Johnsen, as difficult as these models might be in their details,sthey are all comparatively simple in the sense that they are all linear models. Thissmeans in particular th... |

47 |
ch. A criterion for unanimity in French’s theory of social power
- Harary
- 1959
(Show Context)
Citation Context ...ly formulation of such a model was given by J.R.P. French in 1956 in order tosunderstand complex phenomena found empirically about groups [13]. See also thesrelated mathematical analysis by F. Harary =-=[16]-=-.) Another source of opinion dynamicssis the work by M.H. De Groot in 1974 [8] and by K. Lehrer in 1975 [23] and subsequentswork by C. G. Wagner, S. Chatterjee, E. Seneta, J. Cohen among others. (See ... |

44 |
Understanding complex social dynamics: A plea for cellular automata based modelling
- Hegselmann, Flache
- 1998
(Show Context)
Citation Context ...ytical results, too, we wantsto emphasize the importance ofscareful computer simulations for social dynamics in general, and opinion dynamics insparticular, whenever nonlinearities are involved. (See =-=[17]-=-. For computer simulations onsbinary opinion dynamics see [19], [22], [25], [26].)sIn this paper we address the classical question of reaching a consensus as well as that ofsdisagreement leading to po... |

41 |
Self-organizing social systems: Necessary and sufficient conditions for the emergence of consolidation and clustering
- LatanC, Nowak
- 1997
(Show Context)
Citation Context ...computer simulations for social dynamics in general, and opinion dynamics insparticular, whenever nonlinearities are involved. (See [17]. For computer simulations onsbinary opinion dynamics see [19], =-=[22]-=-, [25], [26].)sIn this paper we address the classical question of reaching a consensus as well as that ofsdisagreement leading to polarization and, more general, the dynamics of opinionsfragmentation ... |

28 |
Consensus Formation under bounded Confidence
- Dittmer
- 2001
(Show Context)
Citation Context ...rstechniques such as matrix theory, Markov chains and graph theory. The first nonlinearsmodel within this line of thinking was formulated and analyzed in [20], [21]. For thissmodel see also [2], [9], =-=[10]-=- and [18]. A model similar in spirit has recently beensinvestigated ins[28] and [7]. Of course, having an explicit mathematical model does notsmean at all that one has explicit mathematical answers. T... |

25 |
Mathematical models of the distribution of attitudes under controversy
- Abelson
- 1964
(Show Context)
Citation Context ...r [24] which emphasizes rational consensus as a fundamental featuresfrom justice to epistemology. The importancesof modelling disagreement besidesconsensus was pointed out especially by R. P. Abelson =-=[1]-=- and by N.E. Friedkin andsE.C. Johnsen [12].s2 From French to Friedkin/Johnsen, as difficult as these models might be in their details,sthey are all comparatively simple in the sense that they are all... |

25 |
Soziale Dynamiken mit vielen Interakteuren, Eine Problemskizze. In Modellierung und Simulation von Dynamiken mit vielen interagierenden Akteuren
- KRAUSE
- 1997
(Show Context)
Citation Context ...is needed can be carried out by powerful linearstechniques such as matrix theory, Markov chains and graph theory. The first nonlinearsmodel within this line of thinking was formulated and analyzed in =-=[20]-=-, [21]. For thissmodel see also [2], [9], [10] and [18]. A model similar in spirit has recently beensinvestigated ins[28] and [7]. Of course, having an explicit mathematical model does notsmean at all... |

25 | Monte Carlo simulations of Sznajd models - STAUFFER - 2001 |

21 |
A necessary and sufficient condition for reaching a consensus using degroots method
- Berger
- 1981
(Show Context)
Citation Context ...us property holds if and only if there exists some 0t T such thatsthe matrix power 0tAscontains at least one strictly positive column.sFor the first part of Theorem 1 see [8], for the second part see =-=[3]-=-.sTheorem 2sLetsA be in Gantmacher normal form with diagonal blockss, 1 ,iA i s g s .s• lim ( ) t x t exists for every (0)x n if and only if the iA are all primitive fors1 i gsor, equivalently, ifs1si... |

18 | Neau D, Amblard F, Weisbuch G. 2000 Mixing beliefs among interacting agents - Deffuant |

13 | Interacting agents and continuous opinions dynamics. In Heterogeneous agents, interactions, and economic performance
- Weisbuch, Deffuant, et al.
- 2003
(Show Context)
Citation Context ...st nonlinearsmodel within this line of thinking was formulated and analyzed in [20], [21]. For thissmodel see also [2], [9], [10] and [18]. A model similar in spirit has recently beensinvestigated ins=-=[28]-=- and [7]. Of course, having an explicit mathematical model does notsmean at all that one has explicit mathematical answers. Though elementary, the modelsis nonlinear in that the structure of the model... |

11 |
Approaching consensus can be delicate when positions harden. Stochastic Processes and their Applications 22
- JE, Hajnal, et al.
- 1986
(Show Context)
Citation Context ...e of opinion dynamicssis the work by M.H. De Groot in 1974 [8] and by K. Lehrer in 1975 [23] and subsequentswork by C. G. Wagner, S. Chatterjee, E. Seneta, J. Cohen among others. (See [27], [4],s[5], =-=[6]-=- and the references given therein. There is an interesting connection to the Delphistechnique for pooling opinions of experts, cf. [8].) The focus of these contributions is onsconsensus and how to rea... |

11 | Social impact models of opinion dynamics
- Hølyst, Kacperski, et al.
(Show Context)
Citation Context ...reful computer simulations for social dynamics in general, and opinion dynamics insparticular, whenever nonlinearities are involved. (See [17]. For computer simulations onsbinary opinion dynamics see =-=[19]-=-, [22], [25], [26].)sIn this paper we address the classical question of reaching a consensus as well as that ofsdisagreement leading to polarization and, more general, the dynamics of opinionsfragment... |

11 |
Consensus and cohesion in simulated social networks
- Stocker, Green, et al.
- 2001
(Show Context)
Citation Context ...ulations for social dynamics in general, and opinion dynamics insparticular, whenever nonlinearities are involved. (See [17]. For computer simulations onsbinary opinion dynamics see [19], [22], [25], =-=[26]-=-.)sIn this paper we address the classical question of reaching a consensus as well as that ofsdisagreement leading to polarization and, more general, the dynamics of opinionsfragmentation of which con... |

8 | Consensus through respect: a model of rational group decision-making
- Wagner
(Show Context)
Citation Context ....) Another source of opinion dynamicssis the work by M.H. De Groot in 1974 [8] and by K. Lehrer in 1975 [23] and subsequentswork by C. G. Wagner, S. Chatterjee, E. Seneta, J. Cohen among others. (See =-=[27]-=-, [4],s[5], [6] and the references given therein. There is an interesting connection to the Delphistechnique for pooling opinions of experts, cf. [8].) The focus of these contributions is onsconsensus... |

6 | Social consensus and rational agnoiology - LEHRER - 1975 |

6 |
Social consensus and rational agnoiology. Synthese 31
- Lehrer
- 1975
(Show Context)
Citation Context ...ound empirically about groups [13]. See also thesrelated mathematical analysis by F. Harary [16].) Another source of opinion dynamicssis the work by M.H. De Groot in 1974 [8] and by K. Lehrer in 1975 =-=[23]-=- and subsequentswork by C. G. Wagner, S. Chatterjee, E. Seneta, J. Cohen among others. (See [27], [4],s[5], [6] and the references given therein. There is an interesting connection to the Delphistechn... |

5 |
Reaching a consensus: Some limit theorem
- Chatterjee
- 1975
(Show Context)
Citation Context ...ther source of opinion dynamicssis the work by M.H. De Groot in 1974 [8] and by K. Lehrer in 1975 [23] and subsequentswork by C. G. Wagner, S. Chatterjee, E. Seneta, J. Cohen among others. (See [27], =-=[4]-=-,s[5], [6] and the references given therein. There is an interesting connection to the Delphistechnique for pooling opinions of experts, cf. [8].) The focus of these contributions is onsconsensus and ... |

5 |
Diskrete nichtlineare Modelle der Konsensbildung, Diploma thesis
- Dittmer
- 2000
(Show Context)
Citation Context ...linearstechniques such as matrix theory, Markov chains and graph theory. The first nonlinearsmodel within this line of thinking was formulated and analyzed in [20], [21]. For thissmodel see also [2], =-=[9]-=-, [10] and [18]. A model similar in spirit has recently beensinvestigated ins[28] and [7]. Of course, having an explicit mathematical model does notsmean at all that one has explicit mathematical answ... |

3 | Starke und schwache Ergodizität in nichtlinearen Konsensmodellen. Diploma thesis Universität Bremen - BECKMANN - 1997 |

2 | Flache A - HEGSELMANN - 1998 |

2 |
und schwache Ergodizität
- Beckmann
- 1997
(Show Context)
Citation Context ...rful linearstechniques such as matrix theory, Markov chains and graph theory. The first nonlinearsmodel within this line of thinking was formulated and analyzed in [20], [21]. For thissmodel see also =-=[2]-=-, [9], [10] and [18]. A model similar in spirit has recently beensinvestigated ins[28] and [7]. Of course, having an explicit mathematical model does notsmean at all that one has explicit mathematical... |

2 |
Cellular automata models of solidarity and opinion formation: sensitivity analysis
- Hegselmann, Flache, et al.
(Show Context)
Citation Context ...ues such as matrix theory, Markov chains and graph theory. The first nonlinearsmodel within this line of thinking was formulated and analyzed in [20], [21]. For thissmodel see also [2], [9], [10] and =-=[18]-=-. A model similar in spirit has recently beensinvestigated ins[28] and [7]. Of course, having an explicit mathematical model does notsmean at all that one has explicit mathematical answers. Though ele... |

1 | A simple model of consensus formation - Fujimoto - 1999 |

1 | Kacperski K and Schweitzer F (2001) Social impact models of opinion dynamics - HOYLST |