Formal Semantics and Philosophical Logic

Emiliano Lorini (IRIT-CNRS, University of Toulouse): On the epistemic foundation for iterated weak dominance: an analysis in a logic of individual and collective attitudes


Speaker: Emiliano Lorini (IRIT-CNRS, University of Toulouse)
Title: On the epistemic foundation for iterated weak dominance: an analysis in a logic of individual and collective attitudes
Date:
Time: 15:30 - 17:30
Location: Room F1.15, ILLC, Science Park 107, Amsterdam

AbstractThis paper proposes a logical framework for representing static and dynamic properties of different kinds of individual and collective attitudes. A complete axiomatization as well as a decidability result for the logic are given. The logic is applied to game theory by providing a formal analysis of the epistemic conditions of iterated deletion of weakly dominated strategies (IDWDS), or iterated weak dominance for short. The main difference between the analysis of the epistemic conditions of iterated weak dominance given in this paper and other analysis is that we use a semi-qualitative approach to uncertainty based on the notion of plausibility first introduced by Spohn, whereas other analysis are based on a quantitative representation of uncertainty in terms of probabilities.