Inhalt

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  Introduction
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   Opinion Dynamics and Social Networks
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  Different Aspects of Modeling Opinion Dynamics
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   Continuous opinion and discrete opinion
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   Continuous-time and discrete-time
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   Bayesian models and non-Bayesian models
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   Synchronous and Asynchronous
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   Conformity and Anti-conformity Behavior
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   Network Theory and Network Formation
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  Preliminaries
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   Non-negative Matrices
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  The DeGroot Model and The Abelson's Model
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   The DeGroot model
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   The linear Abelson's model
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  The Friedkin-Johnsen Model and the Taylor's Model
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   The Friedkin-Johnsen Model
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   The Taylor's model
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  The Bounded Confidence Model
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   The Hegselmann-Krause model
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   The Deffuant-Weisbuch model
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   The Threshold Model
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  The Sznajd model and the q-voter Model
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   The Sznajd model
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   The q-voter model
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   Altafini's Model
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   Results on balance theory
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   Model of opinion dynamics
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   The opposing rule and the repelling rule along negative links
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   Opposing negative dynamics
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   Repelling negative dynamics
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   Directed networks
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   Summary of this thesis and contributions
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  Anti-conformism in the threshold model of collective behavior
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   Introduction
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  The deterministic threshold model with anti-conformists
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   The model
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   A game-theoretic foundation of the threshold models
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    A general result on cycles
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   Study of the complete network
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   Random sampling models
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   Homogeneous networks
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   Arbitrary degree distribution
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   Concluding remarks
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  Appendix
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   Proof of Theorem 4.2
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   Proof of Proposition 4.1
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   Proof of Proposition 4.2
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   Proof of Theorem 4.3
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   Proof of Proposition 4.4
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   Proof of Theorem 4.4
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   Proof of Theorem 4.5
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   Proof of Theorem 4.6
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   Further discussion
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  The Dynamics of Cultural Traits in Inherited Endogenous Social Networks
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   Introduction
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   The model
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  Endogenize network formation (G(t)G(t+1))
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   Directed network with optimal network changes
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   Undirected network with PS (Pairwise Stable) networks
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   Undirected network with PST (Pairwise Stable with Transfers) networks
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   Dynamics
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   The DN model
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   The UPST model
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   The UPS model
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   Efficiency of networks
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   Conclusion
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  Continuous opinion dynamics with anti-conformity behavior
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   Introduction
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  The model
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   Notation
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   The repelling function fi(xi,ri)
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   Heterogeneous nodes (conformists and anti-conformists)
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   Heterogeneous links (signed graph)
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   Synchronous updating and Asynchronous updating
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  Opinion dynamics with conformists and anti-conformists
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   Synchronous updating model
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   Asynchronous updating model
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  Opinion dynamics over signed graphs
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   Synchronous updating model
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   Asynchronous updating model
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   Concluding remarks
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  Conclusions and Future Work
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   Thesis Summary and Contributions
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   Future work
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   Bibliography