Cooperative behaviors are ubiquitous in nature and human society.It is very important to understand the internal mechanism of emergence and maintenance of cooperation.As we know now,the offsprings inherit not only the...Cooperative behaviors are ubiquitous in nature and human society.It is very important to understand the internal mechanism of emergence and maintenance of cooperation.As we know now,the offsprings inherit not only the phenotype but also the neighborhood relationship of their parents.Some recent research results show that the interactions among individuals facilitate survival of cooperation through network reciprocity of clustering cooperators.This paper aims at introducing an inheritance mechanism of neighborhood relationship to explore the evolution of cooperation.In detail,a mathematical model is proposed to characterize the evolutionary process with the above inheritance mechanism.Theoretical analysis and numerical simulations indicate that high-level cooperation can emerge and be maintained for a wide variety of cost-to-benefit ratios,even if mutation happens during the evolving process.展开更多
基金supported by the National Natural Science Foundation of China under Grant No.61673165the Hong Kong Research Grants Council of GRF Project under Grant No.17200415the Hunan Provincial Natural Science Foundation of China under Grants Nos.2015JJ2045 and 2017JJ2070
基金supported by the National Natural Science Foundation of China(61025017,11072254,and 61203148)
文摘Cooperative behaviors are ubiquitous in nature and human society.It is very important to understand the internal mechanism of emergence and maintenance of cooperation.As we know now,the offsprings inherit not only the phenotype but also the neighborhood relationship of their parents.Some recent research results show that the interactions among individuals facilitate survival of cooperation through network reciprocity of clustering cooperators.This paper aims at introducing an inheritance mechanism of neighborhood relationship to explore the evolution of cooperation.In detail,a mathematical model is proposed to characterize the evolutionary process with the above inheritance mechanism.Theoretical analysis and numerical simulations indicate that high-level cooperation can emerge and be maintained for a wide variety of cost-to-benefit ratios,even if mutation happens during the evolving process.
