The DOI matches its Crossref record; 21 of the 21 references it cites were found in a registry or an index.
Graph topology plays a determinant role in the evolution of cooperation
Open accessAbstract
We study the evolution of cooperation in communities described in terms of graphs, such that individuals occupy the vertices and engage in single rounds of the Prisoner's Dilemma with those individuals with whom they are connected through the edges of those graphs. We find an overwhelming dominance of cooperation whenever graphs are dynamically generated through the mechanisms of growth and preferential attachment. These mechanisms lead to the appearance of direct links between hubs, which constitute sufficient conditions to sustain cooperation. We show that cooperation dominates from large population sizes down to communities with nearly 100 individuals, even when extrinsic factors set a limit on the number of interactions that each individual may engage in.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Emergence of Scaling in Random Networks
Barabási, A.-L., & Albert, R. (1999) · Science · doi:10.1126/science.286.5439.509 · Cited by 36,135
Statistical mechanics of complex networks
Albert, R., & Barabási, A.-L. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.47 · Cited by 20,471
Axelrod, R., & Hamilton, W. D. (1981) · Science · doi:10.1126/science.7466396 · Cited by 20,065
Evolution and the Theory of Games
Smith, J. M. (1988) · Did Darwin Get It Right? · doi:10.1007/978-1-4684-7862-4_22 · Cited by 7,906
The Matthew Effect in Science: The reward and communication systems of science are considered.
Merton, R. K. (1968) · Science · doi:10.1126/science.159.3810.56 · Cited by 6,720
(1968) · PubMed · Cited by 4,803
Evolutionary games and spatial chaos
Nowak, M. A., & May, R. M. (1992) · Nature · doi:10.1038/359826a0 · Cited by 4,463
Classes of small-world networks
Amaral, L. A. N., Scala, A., Barthélémy, M., & Stanley, H. E. (2000) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.200327197 · Cited by 3,051
ON A CLASS OF SKEW DISTRIBUTION FUNCTIONS
SIMON, H. A. (1955) · Biometrika · doi:10.1093/biomet/42.3-4.425 · Cited by 2,771
A critical point for random graphs with a given degree sequence
Molloy, M., & Reed, B. (1995) · Random Structures & Algorithms · doi:10.1002/rsa.3240060204 · Cited by 2,351
Cited by
Evolutionary dynamics of group interactions on structured populations: a review
Perc, M., Gómez-Gardeñes, J., Szolnoki, A., Floría, L. M., & Moreno, Y. (2013) · Journal of The Royal Society Interface · doi:10.1098/rsif.2012.0997 · Cited by 1,340
Coevolution of Strategy and Structure in Complex Networks with Dynamical Linking
Pacheco, J. M., Traulsen, A., & Nowak, M. A. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.258103 · Cited by 697
Self-citationReputation-based partner choice promotes cooperation in social networks
Fu, F., Hauert, C., Nowak, M. A., & Wang, L. (2008) · Physical Review E · doi:10.1103/physreve.78.026117 · Cited by 682
Cooperation Prevails When Individuals Adjust Their Social Ties
Santos, F. C., Pacheco, J. M., & Lenaerts, T. (2006) · PLoS Computational Biology · doi:10.1371/journal.pcbi.0020140 · Cited by 556
Self-citationDynamical Organization of Cooperation in Complex Topologies
Gómez-Gardeñes, J., Campillo, M., Floría, L. M., & Moreno, Y. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.108103 · Cited by 555
Metadata
- Authors
- Santos, F. C., Rodrigues, J. F., & Pacheco, J. M.
- Venue
- Proceedings of the Royal Society B: Biological Sciences
- Publisher
- The Royal Society
- Published
- 2005-10-04
- Volume
- 273
- Issue
- 1582
- Pages
- 51-55
- ISSN
- 0080-4649 (ISSN-L)
- 0962-8452
- 1471-2954
- OpenAlex
- W2170437594
- Cited by
- 359
- References
- 21
- FWCI
- 66.58
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Graph topology plays a determinant role in the evolution of cooperation. https://app.cochat.ai/papers/10.1098/rspb.2005.3272
- The paper
- Santos, F. C., Rodrigues, J. F., & Pacheco, J. M. (2006). Graph topology plays a determinant role in the evolution of cooperation. Proceedings of the Royal Society B: Biological Sciences. https://doi.org/10.1098/rspb.2005.3272
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.