The probabilistic logic of communication and change
Andreea Cristina Achimescu, Alexandru Baltag, Joshua Sack · Journal of Logic and Computation · 2016
Abstract This article introduces a Probabilistic Logic of Communication and Change , which captures in a unified framework subjective probability, arbitrary levels of mutual knowledge and a mechanism for multi-agent Bayesian updates that can model complex social-epistemic scenarios, such as informational cascades. We show soundness, completeness and decidability of our logic, and apply it to a concrete example of cascade.