Scale-free networks provide a unifying framework for the emergence of cooperation.
@article{Santos2005ScalefreeNP, title={Scale-free networks provide a unifying framework for the emergence of cooperation.}, author={Francisco C. Santos and Jorge M. Pacheco}, journal={Physical review letters}, year={2005}, volume={95 9}, pages={ 098104 } }
We study the evolution of cooperation in the framework of evolutionary game theory, adopting the prisoner's dilemma and snowdrift game as metaphors of cooperation between unrelated individuals. In sharp contrast with previous results we find that, whenever individuals interact following networks of contacts generated via growth and preferential attachment, leading to strong correlations between individuals, cooperation becomes the dominating trait throughout the entire range of parameters of…
1,370 Citations
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References
SHOWING 1-10 OF 18 REFERENCES
Spatial structure often inhibits the evolution of cooperation in the snowdrift game
- BiologyNature
- 2004
The results caution against the common belief that spatial structure is necessarily beneficial for cooperative behaviour, and show that no such general predictions can be made for the effects of spatial structure in the snowdrift game.
Evolutionary games and spatial chaos
- ArtNature
- 1992
MUCH attention has been given to the Prisoners' Dilemma as a metaphor for the problems surrounding the evolution of coopera-tive behaviour1–6. This work has dealt with the relative merits of various…
Emergence of scaling in random networks
- Computer ScienceScience
- 1999
A model based on these two ingredients reproduces the observed stationary scale-free distributions, which indicates that the development of large networks is governed by robust self-organizing phenomena that go beyond the particulars of the individual systems.
Evolution and the Theory of Games
- EconomicsAmerican scientist
- 1976
It is beginning to become clear that a range of problems in evolution theory can most appropriately be attacked by a modification of the theory of games, a branch of mathematics first formulated by Von Neumann and Morgenstern in 1944 for the analysis of human conflicts.
Prisoner's dilemma in an RNA virus
- BiologyNature
- 1999
It is shown that the fitness of the high-multiplicity phage relative to their ancestors generates a pay-off matrix conforming to the prisoner's dilemma strategy of game theory, in which defection (selfishness) evolves, despite the greater fitness pay-offs that would result if all players were to cooperate.
Complex cooperative strategies in group-territorial African lions
- PsychologyScience
- 1995
Female lions (Panthera leo) showed persistent individual differences in the extent to which they participated in group-territorial conflict, and modification of the "odds" in these encounters revealed that some females joined the group response when they were most needed, whereas other lagged even farther behind.
Local dispersal promotes biodiversity in a real-life game of rock–paper–scissors
- Environmental ScienceNature
- 2002
It is found that diversity is rapidly lost in the experimental community when dispersal and interaction occur over relatively large spatial scales, whereas all populations coexist when ecological processes are localized.
Statistical mechanics of complex networks
- Computer ScienceArXiv
- 2001
A simple model based on these two principles was able to reproduce the power-law degree distribution of real networks, indicating a heterogeneous topology in which the majority of the nodes have a small degree, but there is a significant fraction of highly connected nodes that play an important role in the connectivity of the network.
Breeding together: kin selection and mutualism in cooperative vertebrates.
- BiologyScience
- 2002
It now seems likely that the evolutionary mechanisms maintaining cooperative breeding are diverse and that, in some species, the direct benefits of helping may be sufficient to maintain cooperative societies.