The evolutionary public goods game on scale-free networks with heterogeneous investment

[1]  J M Smith,et al.  Evolution and the theory of games , 1976 .

[2]  Feng Qi,et al.  Randomness enhances cooperation: a resonance-type phenomenon in evolutionary games. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  F. C. Santos,et al.  Social diversity promotes the emergence of cooperation in public goods games , 2008, Nature.

[4]  Zhi-Xi Wu,et al.  Effects of inhomogeneous activity of players and noise on cooperation in spatial public goods games. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  Josef Hofbauer,et al.  Evolutionary Games and Population Dynamics , 1998 .

[6]  Guanrong Chen,et al.  Phase transition and hysteresis loop in structured games with global updating. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  Wenxu Wang,et al.  Memory-based snowdrift game on networks. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  Michael Doebeli,et al.  Spatial structure often inhibits the evolution of cooperation in the snowdrift game , 2004, Nature.

[9]  M. Doebeli,et al.  The evolution of interspecific mutualisms. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[10]  Wang Bing-Hong,et al.  Evolutionary snowdrift game on heterogeneous Newman–Watts small-world network , 2008 .

[11]  Zhi-Xi Wu,et al.  Cooperation enhanced by the difference between interaction and learning neighborhoods for evolutionary spatial prisoner's dilemma games. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  A. Barabasi,et al.  Evolution of the social network of scientific collaborations , 2001, cond-mat/0104162.

[13]  G. Szabó,et al.  Phase diagrams for an evolutionary prisoner's dilemma game on two-dimensional lattices. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  Mao-Bin Hu,et al.  Effects of expectation and noise on evolutionary games , 2009 .

[15]  S. Assenza,et al.  Enhancement of cooperation in highly clustered scale-free networks. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  Lin Zhao,et al.  Evolutionary games on scale-free networks with a preferential selection mechanism , 2009 .

[17]  Attila Szolnoki,et al.  Resolving social dilemmas on evolving random networks , 2009, 0910.1905.

[18]  Long Wang,et al.  Promotion of cooperation induced by appropriate payoff aspirations in a small-world networked game. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  György Szabó,et al.  Phase transitions and volunteering in spatial public goods games. , 2002, Physical review letters.

[20]  Attila Szolnoki,et al.  Making new connections towards cooperation in the prisoner's dilemma game , 2008, 0811.4372.

[21]  Albert,et al.  Topology of evolving networks: local events and universality , 2000, Physical review letters.

[22]  Yinghai Wang,et al.  Promote cooperation by localised small-world communication , 2007, 0709.0322.

[23]  M. Nowak.  Five Rules for the Evolution of Cooperation , 2006, Science.

[24]  Zhi-Xi Wu,et al.  Evolutionary prisoner's dilemma game with dynamic preferential selection. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  Xin-Jian Xu,et al.  Promotion of cooperation induced by nonlinear attractive effect in spatial Prisoner's Dilemma game , 2006 .

[26]  J. Neumann,et al.  Theory of games and economic behavior , 1945, 100 Years of Math Milestones.

[27]  M. Perc,et al.  Promoting cooperation in social dilemmas via simple coevolutionary rules , 2008, 0812.1122.

[28]  György Szabó,et al.  Prisoner's dilemma and public goods games in different geometries: Compulsory versus voluntary interactions , 2003, Complex..

[29]  Wang Bing-Hong,et al.  Spatial Games Based on Pursuing the Highest Average Payoff , 2008 .

[30]  F. C. Santos,et al.  Scale-free networks provide a unifying framework for the emergence of cooperation. , 2005, Physical review letters.

[31]  G. Szabó,et al.  Evolutionary games on graphs , 2006, cond-mat/0607344.

[32]  Shuigeng Zhou,et al.  The prisoner's dilemma in structured scale-free networks , 2009, Journal of Physics A: Mathematical and Theoretical.

[33]  C. Hauert,et al.  Evolutionary games and population dynamics: maintenance of cooperation in public goods games , 2006, Proceedings of the Royal Society B: Biological Sciences.

[34]  Beom Jun Kim,et al.  Dynamic instabilities induced by asymmetric influence: prisoners' dilemma game in small-world networks. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[35]  M. Nowak,et al.  Evolutionary games and spatial chaos , 1992, Nature.

[36]  Christoph Hauert,et al.  Cooperation, Collectives Formation and Specialization , 2006, Adv. Complex Syst..

[37]  G. Szabó,et al.  Evolutionary prisoner's dilemma game on a square lattice , 1997, cond-mat/9710096.

[38]  J Gómez-Gardeñes,et al.  Dynamical organization of cooperation in complex topologies. , 2007, Physical review letters.

[39]  M. Hu,et al.  The effect of asymmetric payoff mechanism on evolutionary networked prisoner’s dilemma game , 2009 .

[40]  Y. Lai,et al.  Diversity-optimized cooperation on complex networks. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[41]  G. Szabó,et al.  Cooperation in the noisy case: Prisoner's dilemma game on two types of regular random graphs. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[42]  Mao-Bin Hu,et al.  Asymmetric cost in snowdrift game on scale-free networks , 2009 .

[43]  G. Szabó,et al.  Impact of aging on the evolution of cooperation in the spatial prisoner's dilemma game. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[44]  C. Hauert,et al.  Game theory and physics , 2005 .

[45]  Zhi-Xi Wu,et al.  Spatial prisoner's dilemma game with volunteering in Newman-Watts small-world networks. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[46]  Zhihai Rong,et al.  Effect of the degree correlation in public goods game on scale-free networks , 2009 .

[47]  Xiang Li,et al.  Roles of mixing patterns in cooperation on a scale-free networked game. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[48]  M. Kuperman,et al.  Social games in a social network. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[49]  Attila Szolnoki,et al.  Phase diagrams for three-strategy evolutionary prisoner's dilemma games on regular graphs. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[50]  C. Hauert,et al.  Volunteering as Red Queen Mechanism for Cooperation in Public Goods Games , 2002, Science.

[51]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.