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Erschienen in:
2009 | OriginalPaper | Buchkapitel
Epistemic Games in Modal Logic: Joint Actions, Knowledge and Preferences All Together
verfasst von : Emiliano Lorini, François Schwarzentruber, Andreas Herzig
Erschienen in: Logic, Rationality, and Interaction
Verlag: Springer Berlin Heidelberg
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We propose a modal logic called
$\mathcal{EDLA}$
(
Epistemic Dynamic Logic of Agency
) that allows to reason about epistemic games in strategic form.
$\mathcal{EDLA}$
integrates the concepts of joint action, preference and knowledge. In the first part of the paper we introduce
$\mathcal{EDLA}$
and provide soundness, completeness and complexity results. In the second part we study in
$\mathcal{EDLA}$
the epistemic and rationality conditions of some classical solution concepts like Nash equilibrium and iterated strict dominance. In the last part of the paper we combine
$\mathcal{EDLA}$
with Dynamic Epistemic Logic (DEL) in order to model epistemic game dynamics.