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||epistemic logic payoff uncertainty common knowledge weak dominance game theory|
|Categories||categorize this paper)|
References found in this work BETA
Knowledge, Belief and Counterfactual Reasoning in Games.Robert Stalnaker - 1996 - Economics and Philosophy 12 (2):133.
Modal Logic and Game Theory: Two Alternative Approaches.Giacomo Bonanno - 2002 - Risk Decision and Policy 7:309-324.
Grappling With the Centipede: Defence of Backward Induction for BI-Terminating Games.Wlodek Rabinowicz - 1998 - Economics and Philosophy 14 (1):95.
Citations of this work BETA
Overmathematisation in Game Theory: Pitting the Nash Equilibrium Refinement Programme Against the Epistemic Programme.Boudewijn de Bruin - 2009 - Studies in History and Philosophy of Science Part A 40 (3):290-300.
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