Elias Tsakas
Department of Economics
Maastricht University
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Pairwise epistemic conditions for Nash equilibrium
(with Christian W. Bach)
Games and Economic Behavior 85 (2014), 48-59
Abstract.
We introduce a framework for modeling pairwise interactive beliefs and provide an epistemic foundation for Nash equilibrium in terms of pairwise epistemic conditions locally imposed on only some pairs of players. Our main result considerably weakens not only the standard sufficient conditions by Aumann and Brandenburger (1995), but also the subsequent generalization by Barelli (2009). Surprisingly, our conditions do not require nor imply mutual belief in rationality.