The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Randomness enhances cooperation: A resonance-type phenomenon in evolutionary games
Open accessAbstract
We investigate the effect of randomness in both relationships and decisions on the evolution of cooperation. Simulation results show, in such randomness' presence, the system evolves more frequently to a cooperative state than in its absence. Specifically, there is an optimal amount of randomness, which can induce the highest level of cooperation. The mechanism of randomness promoting cooperation resembles a resonancelike fashion, which could be of particular interest in evolutionary game dynamics in economic, biological, and social systems.
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Cites
Evolutionary Games and Population Dynamics
Hofbauer, J., & Sigmund, K. (1998) · doi:10.1017/cbo9781139173179 · Cited by 5,502
Gammaitoni, L., Hänggi, P., Jung, P., & Marchesoni, F. (1998) · Reviews of Modern Physics · doi:10.1103/revmodphys.70.223 · Cited by 5,443
Fehr, E., & Fischbacher, U. (2003) · Nature · doi:10.1038/nature02043 · Cited by 3,475
Evolution of indirect reciprocity by image scoring
Nowak, M. A., & Sigmund, K. (1998) · Nature · doi:10.1038/31225 · Cited by 2,700
A 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
Cited by
Reputation-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
Universal scaling for the dilemma strength in evolutionary games
Wang, Z., Kokubo, S., Jusup, M., & Tanimoto, J. (2015) · Physics of Life Reviews · doi:10.1016/j.plrev.2015.04.033 · Cited by 586
Interdependent network reciprocity in evolutionary games
Wang, Z., Szolnoki, A., & Perc, M. (2013) · Scientific Reports · doi:10.1038/srep01183 · Cited by 485
Promotion of cooperation induced by appropriate payoff aspirations in a small-world networked game
Chen, X., & Wang, L. (2008) · Physical Review E · doi:10.1103/physreve.77.017103 · Cited by 381
Metadata
- Authors
- Ren, J., Wang, W.-X., & Qi, F.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2007-04-02
- Volume
- 75
- Issue
- 4
- Pages
- 045101-045101
- ISSN
- 1539-3755 (ISSN-L)
- 1550-2376
- OpenAlex
- W2062575510
- Cited by
- 177
- References
- 5
- FWCI
- 80.16
- Type
- journal article
- Language
- en
- Open access
- green
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- Ren, J., Wang, W.-X., & Qi, F. (2007). Randomness enhances cooperation: A resonance-type phenomenon in evolutionary games. Physical Review E. https://doi.org/10.1103/physreve.75.045101
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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