Abstract
In this chapter presents an analytic survey of modern models of social networks as well as establishes a correspondence between different classes of models and the properties of social networks reflected by them (see the Preface).
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Notes
- 1.
A submodular function f is a mapping of a finite set U into nonnegative real values that satisfies the diminishing returns property: the incremental output from adding an element to a set S is at least as high as the incremental output from adding this element to any set that contains S.
- 2.
Note that the terms “value,” “belief,” “attitude,” etc. have different interpretations in modern psychology and theory of multiagent systems that do not match each other.
- 3.
Throughout the book, • denotes the end of an example.
- 4.
Although, there exist other equilibria in which only some agents participate in the collective action and this is beneficial for them.
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Chkhartishvili, A.G., Gubanov, D.A., Novikov, D.A. (2019). Models of Influence in Social Networks. In: Social Networks: Models of Information Influence, Control and Confrontation. Studies in Systems, Decision and Control, vol 189. Springer, Cham. https://doi.org/10.1007/978-3-030-05429-8_1
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DOI: https://doi.org/10.1007/978-3-030-05429-8_1
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