The DOI matches its Crossref record; 35 of the 35 references it cites were found in a registry or an index.
Breaking the Symmetry between Interaction and Replacement in Evolutionary Dynamics on Graphs
Open accessAbstract
We study the evolution of cooperation modeled as symmetric 2x2 games in a population whose structure is split into an interaction graph defining who plays with whom and a replacement graph specifying evolutionary competition. We find it is always harder for cooperators to evolve whenever the two graphs do not coincide. In the thermodynamic limit, the dynamics on both graphs is given by a replicator equation with a rescaled payoff matrix in a rescaled time. Analytical results are obtained in the pair approximation and for weak selection. Their validity is confirmed by computer simulations.
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Citations
Cites
Evolutionary Games and Population Dynamics
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Evolutionary Dynamics: Exploring the Equations of Life
NOWAK, M. A. (2006) · doi:10.2307/j.ctvjghw98 · Cited by 2,438
Self-citationA simple rule for the evolution of cooperation on graphs and social networks
Ohtsuki, H., Hauert, C., Lieberman, E., & Nowak, M. A. (2006) · Nature · doi:10.1038/nature04605 · Cited by 2,208
Self-citationSmall Worlds: The Dynamics of Networks between Order and Randomness
Watts, D. J. (1999) · Princeton University Press eBooks · doi:10.1515/9780691188331 · Cited by 2,105
Scale-Free Networks Provide a Unifying Framework for the Emergence of Cooperation
Santos, F. C., & Pacheco, J. M. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.098104 · Cited by 1,804
Self-citationMathematical Population Genetics
Baake, E., Ewens, W. J., & Wakolbinger, A. (2006) · Oberwolfach Reports · doi:10.4171/owr/2005/40 · Cited by 1,624
Spatial structure often inhibits the evolution of cooperation in the snowdrift game
Hauert, C., & Doebeli, M. (2004) · Nature · doi:10.1038/nature02360 · Cited by 1,582
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Evolutionary dynamics: exploring the equations of life
(2007) · Choice Reviews Online · doi:10.5860/choice.44-4439 · Cited by 1,488
Emergence of cooperation and evolutionary stability in finite populations
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Cited by
Statistical physics of human cooperation
Perc, M., Jordan, J. J., Rand, D. G., Wang, Z., Boccaletti, S., & Szolnoki, A. (2017) · Physics Reports · doi:10.1016/j.physrep.2017.05.004 · Cited by 1,590
Social diversity promotes the emergence of cooperation in public goods games
Santos, F. C., Santos, M. D., & Pacheco, J. M. (2008) · Nature · doi:10.1038/nature06940 · Cited by 1,442
Self-citationEvolutionary dynamics on any population structure
Allen, B., Lippner, G., Chen, Y.-T., Fotouhi, B., Momeni, N., Yau, S.-T., & Nowak, M. A. (2017) · Nature · doi:10.1038/nature21723 · Cited by 534
Self-citationWin-Stay-Lose-Learn Promotes Cooperation in the Spatial Prisoner's Dilemma Game
Liu, Y., Chen, X., Zhang, L., Wang, L., & Perc, M. (2012) · PLoS ONE · doi:10.1371/journal.pone.0030689 · Cited by 527
Towards effective payoffs in the prisoner’s dilemma game on scale-free networks
Szolnoki, A., Perc, M., & Danku, Z. (2008) · Physica A: Statistical Mechanics and its Applications · doi:10.1016/j.physa.2007.11.021 · Cited by 297
Metadata
- Authors
- Ohtsuki, H., Nowak, M. A., & Pacheco, J. M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2007-03-08
- Volume
- 98
- Issue
- 10
- Pages
- 108106-108106
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2063747102
- Cited by
- 271
- References
- 35
- FWCI
- 68.87
- Type
- journal article
- Language
- en
- Open access
- green
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