Impact of density and interconnectedness of influential players on social welfare

•Influential players may promote cooperation in evolutionary social dilemmas.•Influential players must be rare and weakly interconnected for cooperation to thrive.•Influential players enhance network reciprocity. We show that in defection prone environments influential players must be rare and weakl...

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Bibliographic Details
Published in:Applied mathematics and computation 2014-12, Vol.249, p.19-23
Main Authors: Perc, Matjaž, Petek, Otilija, Kamal, Salahuddin M.
Format: Article
Language:English
Subjects:
Computation
Cooperation
Defects
Density
Evolutionary games
Games
Mathematical models
Networks
Optimization
Players
Social welfare
Spatial reciprocity
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Summary:•Influential players may promote cooperation in evolutionary social dilemmas.•Influential players must be rare and weakly interconnected for cooperation to thrive.•Influential players enhance network reciprocity. We show that in defection prone environments influential players must be rare and weakly interconnected to optimally promote cooperation in the prisoner’s dilemma game. Conversely, low temptations to defect warrant a high level of social welfare even if influential players are common, yet still demand the latter be weakly interconnected for cooperation to thrive.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2014.10.044