Interaction and imitation with heterogeneous agents: A misleading evolutionary equilibrium

•A two-population evolutionary game involving selfish and pro-social agents.•Heterogeneous individuals interact and also imitate one another.•Uncertainty leads a revising agent to misleadingly imitate other population agents.•Inter-population imitation gives rise to a unique asymptotically stable fixed point.•In this misleading equilibrium selfish and pro-social behavior diverge from the NE.