Evolutionary Games in Two-Layer Networks with the Introduction of Dominant Strategy
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摘要
We study evolutionary games in two-layer networks by introducing the correlation between two layers through the C-dominance or the D-dominance. We assume that individuals play prisoner's dilemma game(PDG) in one layer and snowdrift game(SDG) in the other. We explore the dependences of the fraction of the strategy cooperation in different layers on the game parameter and initial conditions. The results on two-layer square lattices show that, when cooperation is the dominant strategy; initial conditions strongly influence cooperation in the PDG layer while have no impact in the SDG layer. Moreover,in contrast to the result for PDG in single-layer square lattices, the parameter regime where cooperation could be maintained expands significantly in the PDG layer. We also investigate the effects of mutation and network topology. We find that different mutation rates do not change the cooperation behaviors. Moreover,similar behaviors on cooperation could be found in two-layer random networks.
We study evolutionary games in two-layer networks by introducing the correlation between two layers through the C-dominance or the D-dominance. We assume that individuals play prisoner's dilemma game(PDG) in one layer and snowdrift game(SDG) in the other. We explore the dependences of the fraction of the strategy cooperation in different layers on the game parameter and initial conditions. The results on two-layer square lattices show that, when cooperation is the dominant strategy; initial conditions strongly influence cooperation in the PDG layer while have no impact in the SDG layer. Moreover,in contrast to the result for PDG in single-layer square lattices, the parameter regime where cooperation could be maintained expands significantly in the PDG layer. We also investigate the effects of mutation and network topology. We find that different mutation rates do not change the cooperation behaviors. Moreover,similar behaviors on cooperation could be found in two-layer random networks.
We study evolutionary games in two-layer networks by introducing the correlation between two layers through the C-dominance or the D-dominance. We assume that individuals play prisoner's dilemma game(PDG) in one layer and snowdrift game(SDG) in the other. We explore the dependences of the fraction of the strategy cooperation in different layers on the game parameter and initial conditions. The results on two-layer square lattices show that, when cooperation is the dominant strategy; initial conditions strongly influence cooperation in the PDG layer while have no impact in the SDG layer. Moreover,in contrast to the result for PDG in single-layer square lattices, the parameter regime where cooperation could be maintained expands significantly in the PDG layer. We also investigate the effects of mutation and network topology. We find that different mutation rates do not change the cooperation behaviors. Moreover,similar behaviors on cooperation could be found in two-layer random networks.
引文
[1]Smith J M 1982 Evolution and the Theory of Games(Cambridge:Cambridge University)
[2]Szabo G and Fath G 2007 Phys.Rep.446 97
[3]Santos F C and Pacheco J M 2005 Phys.Rev.Lett.95098104
[4]Gómez-Gardenes J,Campillo M,Floría L M and Moreno Y2007 Phys.Rev.Lett.98 108103
[5]Devlin S and Treloar T 2009 Phys.Rev.E 80 026105
[6]Rong Z H,Li X and Wang X F 2007 Phys.Rev.E 76 027101
[7]Tanimoto J 2010 Physica A 389 3325
[8]Pacheco J M,Traulsen A and Nowak M A 2006 Phys.Rev.Lett.97 258103
[9]Cheng H Y,Li H H,Dai Q L,Zhu Y and Yang J Z 2010New J.Phys.12 123014
[10]Du P,Xu C and Zhang W 2015 Chin.Phys.Lett.32 058901
[11]Xia H J,Li P P,Ke J H and Lin Z Q 2015 Chin.Phys.B24 040203
[12]Nowak M A and May R M 1992 Nature 359 826
[13]Gao J X,Buldyrev S V,Stanley H E and Havlinet S 2012Nat.Phys.491 426
[14]Boccaletti S,Bianconi G,Criado R,del Genio C I,GomezGardenes J,Romance M,Sendina-Nadal I,Wang Z and Zaninet M 2015 Phys.Rep.554 1
[15]Li H H,Dai Q L,Cheng H Y and Yang J Z 2010 New J.Phys.12 093048
[16]Wang B K,Pei Z H and Wang L 2014 Europhys.Lett.10758006
[17]Wang Z,Szolnoki A and Perc M 2014 New J.Phys.16033041
[18]Wang Z,Wang L and Perc M 2014 Phys.Rev.E 89 052813
[19]Jin Q,Wang L,Xia C Y and Wang Z 2014 Sci.Rep.4 4095
[20]Wang Z,Wang L,Szolnoki A and Perc M 2015 Eur.Phys.J.B 88 124
[21]Kenett D Y,Perc M and Boccaletti S 2015 Chaos Solitons Fractals 80 1
[2]Szabo G and Fath G 2007 Phys.Rep.446 97
[3]Santos F C and Pacheco J M 2005 Phys.Rev.Lett.95098104
[4]Gómez-Gardenes J,Campillo M,Floría L M and Moreno Y2007 Phys.Rev.Lett.98 108103
[5]Devlin S and Treloar T 2009 Phys.Rev.E 80 026105
[6]Rong Z H,Li X and Wang X F 2007 Phys.Rev.E 76 027101
[7]Tanimoto J 2010 Physica A 389 3325
[8]Pacheco J M,Traulsen A and Nowak M A 2006 Phys.Rev.Lett.97 258103
[9]Cheng H Y,Li H H,Dai Q L,Zhu Y and Yang J Z 2010New J.Phys.12 123014
[10]Du P,Xu C and Zhang W 2015 Chin.Phys.Lett.32 058901
[11]Xia H J,Li P P,Ke J H and Lin Z Q 2015 Chin.Phys.B24 040203
[12]Nowak M A and May R M 1992 Nature 359 826
[13]Gao J X,Buldyrev S V,Stanley H E and Havlinet S 2012Nat.Phys.491 426
[14]Boccaletti S,Bianconi G,Criado R,del Genio C I,GomezGardenes J,Romance M,Sendina-Nadal I,Wang Z and Zaninet M 2015 Phys.Rep.554 1
[15]Li H H,Dai Q L,Cheng H Y and Yang J Z 2010 New J.Phys.12 093048
[16]Wang B K,Pei Z H and Wang L 2014 Europhys.Lett.10758006
[17]Wang Z,Szolnoki A and Perc M 2014 New J.Phys.16033041
[18]Wang Z,Wang L and Perc M 2014 Phys.Rev.E 89 052813
[19]Jin Q,Wang L,Xia C Y and Wang Z 2014 Sci.Rep.4 4095
[20]Wang Z,Wang L,Szolnoki A and Perc M 2015 Eur.Phys.J.B 88 124
[21]Kenett D Y,Perc M and Boccaletti S 2015 Chaos Solitons Fractals 80 1