Common Knowledge of Payoff Uncertainty in Games

Synthese 163 (1):79 - 97 (2008)
Using epistemic logic, we provide a non-probabilistic way to formalise payoff uncertainty, that is, statements such as 'player i has approximate knowledge about the utility functions of player j.' We show that on the basis of this formalisation common knowledge of payoff uncertainty and rationality (in the sense of excluding weakly dominated strategies, due to Dekel and Fudenberg (1990)) characterises a new solution concept we have called 'mixed iterated strict weak dominance.'.
Keywords Philosophy   Philosophy of Language   Metaphysics   Epistemology   Logic
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DOI 10.2307/40271013
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Giacomo Bonanno (2008). 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
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