Generalized Nash equilibrium without common belief in rationalityBach, C. W. and Perea, A. (2020) Generalized Nash equilibrium without common belief in rationality. Economics Letters, 186. 108526. ISSN 1873-7374
It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1016/j.econlet.2019.108526 Abstract/SummaryWe provide an existence result for the solution concept of generalized Nash equilibrium, which can be viewed as the direct incomplete information analogue of Nash equilibrium. Intuitively, a tuple consisting of a probability measure for every player on his choices and utility functions is a generalized Nash equilibrium, whenever some mutual optimality property is satisfied. This incomplete information solution concept is then epistemically characterized in a way that common belief in rationality is neither used nor implied. For the special case of complete information, an epistemic characterization of Nash equilibrium ensues as a corollary.
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