Other Games on Static Complex Networks

In the last chapter, we have been discussing in some detail the dynamics and microscopical organization of the the so-called weak Prisoner’s Dilemma Game [1] on static complex networks, where the payoff for a cooperator against a defector was fixed to \(S=0\) (strictly speaking, for this value of \(S\), we are really at the border between the Prisoner’s Dilemma game and the Hawks and Doves -HD- game). In this chapter we want to address very briefly the issue of other evolutionary games on graphs.

[1]  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.

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

[3]  K. Kaski,et al.  Spatial snowdrift game with myopic agents , 2005 .

[4]  Glenn Ellison Learning, Local Interaction, and Coordination , 1993 .

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

[6]  Francisco C. Santos,et al.  Cooperation Prevails When Individuals Adjust Their Social Ties , 2006, PLoS Comput. Biol..

[7]  M. Tomassini,et al.  Hawks and Doves on small-world networks. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

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

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

[11]  L. Blume The Statistical Mechanics of Strategic Interaction , 1993 .

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

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

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

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

[16]  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.

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