Article ID Journal Published Year Pages File Type
5059381 Economics Letters 2014 4 Pages PDF
Abstract
This paper studies the von Neumann-Morgenstern (vNM) stable sets for the mixed extension of 2×2 games when only single profitable deviations are allowed. We show that games with a strict Nash equilibrium have infinite vNM stable sets, and games without a strict Nash equilibrium have just a unique vNM stable set. A characterization of the strategy profiles that belong to the vNM stable sets is provided. We also show that in games without a strict Nash equilibrium the vNM stable set always contains a Pareto optimal strategy profile.
Related Topics
Social Sciences and Humanities Economics, Econometrics and Finance Economics and Econometrics
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