文章基本信息

标题：Monotone and local potential maximizers in symmetric 3x3 supermodular games
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作者：Daisuke Oyama ; Satoru Takahashi
期刊名称：Economics Bulletin
电子版ISSN：1545-2921
出版年度：2009
卷号：29
期号：3
页码：2123-2135
出版社：Economics Bulletin
摘要：Generalized notions of potential maximizer, monotone potential maximizer (MP-maximizer) and local potential maximizer (LP-maximizer), are studied. It is known that 2x2 coordination games generically have a potential maximizer, while symmetric 4x4 supermodular games may have no MP-or LP-maximizer. This note considers the case inbetween, namely the class of (generic) symmetric 3x3 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