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A syntactic approach to rationality in games with ordinal payoffs

In Giacomo Bonanno, Wiebe van der Hoek & Michael Wooldridge (eds.), Logic and the Foundations of Game and Decision Theory. Amsterdam University Press (2008)

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  1. A Minimal Logic for Interactive Epistemology.Emiliano Lorini - 2016 - Synthese 193 (3):725-755.
    We propose a minimal logic for interactive epistemology based on a qualitative representation of epistemic individual and group attitudes including knowledge, belief, strong belief, common knowledge and common belief. We show that our logic is sufficiently expressive to provide an epistemic foundation for various game-theoretic solution concepts including “1-round of deletion of weakly dominated strategies, followed by iterated deletion of strongly dominated strategies” ) and “2-rounds of deletion of weakly dominated strategies, followed by iterated deletion of strongly dominated strategies” ). (...)
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  • On the Epistemic Foundation for Iterated Weak Dominance: An Analysis in a Logic of Individual and Collective Attitudes.Emiliano Lorini - 2013 - Journal of Philosophical Logic 42 (6):863-904.
    This 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 (...)
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