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. 2015 Nov 25;5:17147. doi: 10.1038/srep17147

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Relative fixation probability of cooperators in n × n grids, for different values of n, and benefit-to-cost ratios b/c. The fixation probabilities ρ_C (resp. ρ_D) correspond to a single cooperator (resp. defector) mutant in a population of defectors (resp. cooperators). db denotes the death-birth process run for the same parameters. As b/c and α increase, ρ also increases and exceeds 0.5, and cooperation is favored. The fixation probabilities are averages over 10⁴ replicates.

Inline graphic — Relative fixation probability of cooperators in n × n grids, for different values of n, and benefit-to-cost ratios b/c. The fixation probabilities ρ_C (resp. ρ_D) correspond to a single cooperator (resp. defector) mutant in a population of defectors (resp. cooperators). db denotes the death-birth process run for the same parameters. As b/c and α increase, ρ also increases and exceeds 0.5, and cooperation is favored. The fixation probabilities are averages over 10⁴ replicates.