Some people commonly know a proposition just in case they all know it, they all know that they all know it, they all know that they all know that they all know it, and so on. They …
J Van Benthem, E Pacuit, O Roy - Games, 2011 - mdpi.com
Logic and game theory have had a few decades of contacts by now, with the classical results of epistemic game theory as major high-lights. In this paper, we emphasize a recent …
E Pacuit - Journal of Applied Logic, 2007 - Elsevier
History based models, introduced by Parikh and Ramanujam, provide a natural mathematical model of social interactive situations. These models offer a “low level” …
Supra-Bayesianism is the Bayesian response to learning the opinions of others. Probability pooling constitutes an alternative response. One natural question is whether there are cases …
We consider Aumann's famous result on “agreeing to disagree” in the context of imprecise probabilities. Our primary aim is to reveal a connection between the possibility of agreeing to …
H Lederman - The Review of Symbolic Logic, 2015 - cambridge.org
Robert Aumann presents his Agreement Theorem as the key conditional:“if two people have the same priors and their posteriors for an event A are common knowledge, then these …
D Samet - Games and Economic Behavior, 2010 - Elsevier
A non-probabilistic generalization of Aumann's agreement theorem is proved. Early attempts at such a theorem were based on a version of the sure-thing principle which assumes an …
Modeling rational agents' reasoning in interactive contexts and identifying its logic is the general analytic project to which this dissertation contributes. The borders of this project run …
C Dégremont, O Roy - Proceedings of the 12th Conference on …, 2009 - dl.acm.org
In this paper we study Aumann's Agreement Theorem in dynamic-epistemic logic. We show that common belief of posteriors is sufficient for agreements in" epistemic-plausibility …