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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...
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