The Prisoner’s Dilemma on Static Complex Networks

The PD game has been frequently used when trying to model the emergence of cooperative behavior in a social or biological system. The questions of why and how cooperation arises and survives in an environment where it is clearly more expensive for the individual than defection in the short term have been subject of intense research for quite some time, and the PD turned out to be a very useful tool for this aim.

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

[2]  Y. Moreno,et al.  Epidemic outbreaks in complex heterogeneous networks , 2001, cond-mat/0107267.

[3]  V. Eguíluz,et al.  Cooperation and the Emergence of Role Differentiation in the Dynamics of Social Networks1 , 2005, American Journal of Sociology.

[4]  F. C. Santos,et al.  Evolutionary dynamics of social dilemmas in structured heterogeneous populations. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[5]  M. Perc,et al.  Towards effective payoffs in the prisoner’s dilemma game on scale-free networks , 2007, 0711.4028.

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

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

[8]  K. Lindgren,et al.  Evolutionary dynamics of spatial games , 1994 .

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

[10]  F. C. Santos,et al.  A new route to the evolution of cooperation , 2006, Journal of evolutionary biology.

[11]  H. Ohtsuki,et al.  A simple rule for the evolution of cooperation on graphs and social networks , 2006, Nature.

[12]  Alessandro Vespignani,et al.  Epidemic dynamics and endemic states in complex networks. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  G. Bianconi,et al.  Number of loops of size h in growing scale-free networks. , 2002, Physical review letters.

[14]  M. Doebeli,et al.  Spatial evolutionary game theory: Hawks and Doves revisited , 1996, Proceedings of the Royal Society of London. Series B: Biological Sciences.

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

[16]  Ángel Sánchez,et al.  Effect of spatial structure on the evolution of cooperation , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[18]  M A Nowak,et al.  Spatial games and the maintenance of cooperation. , 1994, Proceedings of the National Academy of Sciences of the United States of America.

[19]  J. Gómez-Gardeñes,et al.  From scale-free to Erdos-Rényi networks. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[21]  F. C. Santos,et al.  Graph topology plays a determinant role in the evolution of cooperation , 2006, Proceedings of the Royal Society B: Biological Sciences.

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

[23]  M. Nowak,et al.  Evolution of indirect reciprocity , 2005, Nature.

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

[25]  J. Hofbauer,et al.  Evolutionary game dynamics , 2011 .

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

[27]  Attila Szolnoki,et al.  Evolutionary prisoner's dilemma game on Newman-Watts networks. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[29]  W. Hamilton The genetical evolution of social behaviour. I. , 1964, Journal of theoretical biology.