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We provide a self-contained, selective overview of the literature on the role of knowledge and beliefs in game theory. We focus on recent results on the epistemic foundations of solution concepts, including correlated equilibrium, rationalizability in dynamic games, forward and backward induction.
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The authors provide an epistemic analysis of forward induction in games with complete and incomplete information. They suggest that forward induction may be usefully interpreted as a set of assumptions governing the players' belief revision processes, and define a notion of strong belief to...
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The authors argue that the rationalizability approach is particularly appropriate to analyze games with genuine incomplete information.
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We use an extensive form, universal type space to provide the following epistemic characterisation of extensive form rationalisability. Say that player i strongly believes event E if i is certain of E conditional on each of her information sets consistent with E. Our main contribution is to show...
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