Abstract
This note studies the relationship between the global game and the generalized potential game approaches. We provide a non-degenerate example of a symmetric 3 × 3 supermodular game that has no monotone potential maximizer (MP-maximizer). Since the global-game solution for symmetric 3 × 3 supermodular games is independent of the noise distribution, this implies that MP-maximizer is not a necessary condition for global-game noise-independent selection.
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