Reflecting on Social Influence in Networks

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• 作者：Zoé Christoff ; Jens Ulrik Hansen…
• 关键词：Social networks ; Modal logic ; Hybrid logic ; Opinion dynamics ; Social influence ; Tableau systems
• 刊名：Journal of Logic, Language and Information
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：25
• 期：3-4
• 页码：299-333
• 全文大小：1,002 KB
• 刊物类别：Humanities, Social Sciences and Law
• 刊物主题：Philosophy
  Logic
  Semantics
  Artificial Intelligence and Robotics
  
• 出版者：Springer Netherlands
• ISSN：1572-9583
• 卷排序：25

文摘

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.