Monotone and Local Potential Maximizers in Symmetric 3× 3 Supermodular Games∗
نویسندگان
چکیده
Generalized notions of potential maximizer, monotone potential maximizer (MP-maximizer) and local potential maximizer (LPmaximizer), are studied. It is known that 2 × 2 coordination games generically have a potential maximizer, while symmetric 4 × 4 supermodular games may have no MPor LP-maximizer. This note considers the case inbetween, namely the class of (generic) symmetric 3 × 3 supermodular coordination games. This class of games are shown to always have a unique MP-maximizer, and its complete characterization is given. A nondegenerate example demonstrates that own-action quasiconcave supermodular games may have more than one LP-maximizers. Journal of Economic Literature Classification Numbers: C72.
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