Epistemic Analysis of Strategic Games with Arbitrary Strategy Sets

Details Epistemic Analysis of Strategic Games with Arbitrary Strategy Sets Epistemic Analysis of Strategic Games with Arbitrary Strategy Sets

2007-06-07

arxiv.org/abs/0706.1001v1

Computer Science

Computer Science and Game Theory

8 pages Proc. of the 11th Conference on Theoretical Aspects of Rationality and Knowledge (TARK XI), 2007. To appear

Scientific paper

We provide here an epistemic analysis of arbitrary strategic games based on
the possibility correspondences. Such an analysis calls for the use of
transfinite iterations of the corresponding operators. Our approach is based on
Tarski's Fixpoint Theorem and applies both to the notions of rationalizability
and the iterated elimination of strictly dominated strategies.

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