Dear all,
Tomorrow we have our next LIRa session.
Speaker: 石辰威 Chenwei Shi (ILLC, Amsterdam)
Date and Time: Thursday, November 9th 2017, 16:00-17:30
Venue: ILLC Seminar Room F1.15, Science Park 107.
Title: DeGroot Meets Kripke -- Group belief as a tendency towards
consensus.
Abstract. In this talk, I propose a notion of group belief --
potential group belief and study its logic. What is group
belief? For example, common belief is a notion of group belief,
which is studied a lot in epistemic logic. The notion I will talk
about is more in line with what is studied in belief merging and
judgement aggregation. But our perspective is a little different.
Rather than aggregation mechanisms, we put focus on the role of the
social network and its influence in the forming of the group\'s
collective belief. In this sense, it is more similar to opinion
diffusion. This is why we start from the DeGroot model, where the
social network and its influence on group members are explicitly
characterized. The difficulty is that the DeGroot model deals with
degree of belief rather than binary or qualitative belief. Our
endeavour thus starts with overcoming this difficulty. After
introducing potential group belief, I will show how we can study its
logical properties by bringing Kripke semantics into play. Some
interesting logical properties emerge, for example, failing to be
closed under conjunction. If time permits, I will talk about how to
avoid this failure by revising the definition of potential group
belief.
This is a joint work with Alexandru Baltag, Sonja Smets and Fenrong
Liu.
Hope to see you there!
The LIRa team