Common Knowledge of Payoff Uncertainty in Games
Synthese 163 (1):79-97 (2008)
| Abstract | 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 | epistemic logic payoff uncertainty common knowledge weak dominance game theory | |||||||||
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Cedric Paternotte (2011). Being Realistic About Common Knowledge: A Lewisian Approach. Synthese 183 (2):249-276.
Boudewijn de Bruin (2008). Common Knowledge of Rationality in Extensive Games. Notre Dame Journal of Formal Logic 49 (3):261-280.
Andrew M. Colman (2003). Cooperation, Psychological Game Theory, and Limitations of Rationality in Social Interaction. Behavioral and Brain Sciences 26 (2):139-153.
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Boudewijn De Bruin (2008). Common Knowledge of Payoff Uncertainty in Games. Synthese 163 (1):79 - 97.
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