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To establish 2, note that (after the second generation) the haystack founded by a pair of cooperators increases in population by a factor of $R$ in every generation (and every member remains a cooperator).
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10.7554/eLife.00960.013 Figure 4. Self-organization leads the most giving cooperator to associate most with the heterotypic cooperative partner, allowing discrimination of cooperators of varying quality.
This decreases positive assortment of cooperators and defectors, which acts against the evolution of cooperation.
With respect to cooperation this can have the effect of cooperators preferentially attach to other cooperators, and shy away from defectors.
At high frequencies of cooperators these feedback dynamics increase positive assortment facilitating the evolution of cooperation.
Tight clusters of cooperators emerge, and defectors elsewhere in the network are not able to undermine their altruism.
Mr. Kumar's sentence underscores the importance of cooperators to the government.
Cheaters can disrupt a system of cooperators, for example, proliferate, and ultimately replace the cooperators.
Fluorescently labeled colonies show genetic demixing [8] of cooperators and defectors, followed by increase in cooperator frequency as cooperator sectors overtake neighboring defector sectors.
In equal groups, antisocial punishment of cooperators is more common.
However, IL is found effective to stabilize faith of cooperators and cooperators under IL reflect a long-term advantage over defectors in terms of benefits.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com