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Reflecting on Social Influence in Networks

Christoff, Zoé; Hansen, Jens Ulrik LU and Proietti, Carlo LU (2016) In Journal of Logic, Language and Information 25(3-4). p.299-333
Abstract

In many social contexts, social influence seems to be inescapable: the behavior of others influences us to modify ours, and vice-versa. However, social psychology is full of examples of phenomena where individuals experience a discrepancy between their public behavior and their private opinion. This raises two central questions. First, how does an individual reason about the behavior of others and their private opinions in situations of social influence? And second, what are the laws of the resulting information dynamics? In this paper, we address these questions by introducing a formal framework for representing reasoning about an individual’s private opinions and public behavior under the dynamics of social influence in social... (More)

In many social contexts, social influence seems to be inescapable: the behavior of others influences us to modify ours, and vice-versa. However, social psychology is full of examples of phenomena where individuals experience a discrepancy between their public behavior and their private opinion. This raises two central questions. First, how does an individual reason about the behavior of others and their private opinions in situations of social influence? And second, what are the laws of the resulting information dynamics? In this paper, we address these questions by introducing a formal framework for representing reasoning about an individual’s private opinions and public behavior under the dynamics of social influence in social networks. Moreover, we dig deeper into the involved information dynamics by modeling how individuals can learn about each other based on this reasoning. This compels us to introduce a new formal notion of reflective social influence. Finally, we initialize the work on proof theory and automated reasoning for our framework by introducing a sound and complete tableaux system for a fragment of our logic. Furthermore, this constitutes the first tableau system for the “Facebook logic” of J. Seligman, F. Liu, and P. Girard.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Hybrid logic, Modal logic, Opinion dynamics, Social influence, Social networks, Tableau systems
in
Journal of Logic, Language and Information
volume
25
issue
3-4
pages
299 - 333
publisher
Springer Netherlands
external identifiers
  • scopus:84990934123
  • wos:000387485700003
ISSN
0925-8531
DOI
10.1007/s10849-016-9242-y
language
English
LU publication?
yes
id
5ce6a50b-f184-4deb-a445-7555e5d5e53c
date added to LUP
2016-11-01 08:35:40
date last changed
2017-10-01 05:25:10
@article{5ce6a50b-f184-4deb-a445-7555e5d5e53c,
  abstract     = {<p>In many social contexts, social influence seems to be inescapable: the behavior of others influences us to modify ours, and vice-versa. However, social psychology is full of examples of phenomena where individuals experience a discrepancy between their public behavior and their private opinion. This raises two central questions. First, how does an individual reason about the behavior of others and their private opinions in situations of social influence? And second, what are the laws of the resulting information dynamics? In this paper, we address these questions by introducing a formal framework for representing reasoning about an individual’s private opinions and public behavior under the dynamics of social influence in social networks. Moreover, we dig deeper into the involved information dynamics by modeling how individuals can learn about each other based on this reasoning. This compels us to introduce a new formal notion of reflective social influence. Finally, we initialize the work on proof theory and automated reasoning for our framework by introducing a sound and complete tableaux system for a fragment of our logic. Furthermore, this constitutes the first tableau system for the “Facebook logic” of J. Seligman, F. Liu, and P. Girard.</p>},
  author       = {Christoff, Zoé and Hansen, Jens Ulrik and Proietti, Carlo},
  issn         = {0925-8531},
  keyword      = {Hybrid logic,Modal logic,Opinion dynamics,Social influence,Social networks,Tableau systems},
  language     = {eng},
  number       = {3-4},
  pages        = {299--333},
  publisher    = {Springer Netherlands},
  series       = {Journal of Logic, Language and Information},
  title        = {Reflecting on Social Influence in Networks},
  url          = {http://dx.doi.org/10.1007/s10849-016-9242-y},
  volume       = {25},
  year         = {2016},
}