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In this paper, we distinguish the concept of global invader strategy (GIS) from that of neighborhood invader strategy (NIS), and discuss the concepts and the properties of ESS, NIS and GIS and relationship among them in the scenario of multi‐player matrix game. We show that a GIS is always an ESS and GIS is unique for any multi‐player. We also show that NIS is equivalent to ESS for pairwise game and...
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