On Thursday, May 8, we will have a LIRa Student Session with Zoé Christoff.
Everyone is cordially invited!
Speaker: Zoé Christoff (University of Amsterdam)
Title: Dynamic Logic for Threshold Models
Date and Time: Thursday, May 8, 2014, 15:30-17:00
Venue: Science Park 107, Room F1.15
This talk is based on joint work with Alexandru Baltag and Rasmus K. Rendsvig.
We take a logical approach to so-called threshold models, used to study the diffusion of a new technology, fashion, opinion, behaviour etc. within social networks. Threshold models consist of a network graph of agents connected by a social relationship and a fixed threshold to adopt a given new behaviour. The diffusion relies on the following assumption: an agent adopts the new behaviour when the proportion of his network-neighbours who have already adopted it reaches the given threshold.
In the first part of the talk, I will present a minimal dynamic propositional logic to reason about such threshold dynamics. I will then briefly discuss how to extend this framework with an epistemic dimension to model how information about the behaviour of others interacts with the adoption dynamics.