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ESS, NIS and GIS for matrix games in n-species systems

✍ Scribed by Zhanwen Ding; Yanxiang Peng; Honglin Yang

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
163 KB
Volume
34
Category
Article
ISSN
0170-4214

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✦ Synopsis

In this paper, we discuss the concepts of evolutionarily stable strategy (ESS), neighborhood invader strategy (NIS) and global invader strategy (GIS) in n-species systems. We give their definitions both on system level and species level. Although the definition on system level and that on species level are apparently different, it is found that they are equivalent to one another. About the relationships among an ESS, an NIS and a GIS for n-species systems, we obtain the results similar to the ones for single species models: a GIS must be an NIS; an NIS must be an ESS; an ESS may not be a GIS; a GIS must be unique. The stability in the frequency dynamics with two phenotypes is also considered and the global stability of a GIS is shown.

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