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Phase diagrams for an evolutionary prisoner’s dilemma game on two-dimensional lattices
Open accessAbstract
The effects of payoffs and noise on the maintenance of cooperative behavior are studied in an evolutionary prisoner's dilemma game with players located on the sites of different two-dimensional lattices. This system exhibits a phase transition from a mixed state of cooperators and defectors to a homogeneous one where only the defectors remain alive. Using Monte Carlo simulations and the generalized mean-field approximations we have determined the phase boundaries (critical points) separating the two phases on the plane of the temperature (noise) and temptation to choose defection. In the zero temperature limit the cooperation can be sustained only for those connectivity structures where three-site clique percolation occurs.
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Cites
Evolutionary Games and Population Dynamics
Hofbauer, J., & Sigmund, K. (1998) · doi:10.1017/cbo9781139173179 · Cited by 5,502
Uncovering the overlapping community structure of complex networks in nature and society
Palla, G., Derényi, I., Farkas, I., & Vicsek, T. (2005) · Nature · doi:10.1038/nature03607 · Cited by 5,373
Cited by
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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
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
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
Win-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
Topology-independent impact of noise on cooperation in spatial public goods games
Szolnoki, A., Perc, M., & Szabó, G. (2009) · Physical Review E · doi:10.1103/physreve.80.056109 · Cited by 458
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Metadata
- Authors
- Szabó, G., Vukov, J., & Szolnoki, A.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2005-10-31
- Volume
- 72
- Issue
- 4
- Pages
- 047107-047107
- ISSN
- 1539-3755 (ISSN-L)
- 1550-2376
- OpenAlex
- W2044219950
- Cited by
- 529
- References
- 2
- FWCI
- 64.16
- Type
- journal article
- Language
- en
- Open access
- green
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- Szabó, G., Vukov, J., & Szolnoki, A. (2005). Phase diagrams for an evolutionary prisoner’s dilemma game on two-dimensional lattices. Physical Review E. https://doi.org/10.1103/physreve.72.047107
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