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arXiv · 1002.3282

Cooperation in the snowdrift game on directed small-world networks under self-questioning and noisy conditions

Tian Qiu·Tarik Hadzibeganovic·Guang Chen·Li-Xin Zhong·Xiao-Run Wu
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Abstract

Cooperation in the evolutionary snowdrift game with a self-questioning updating mechanism is studied on annealed and quenched small-world networks with directed couplings. Around the payoff parameter value $r=0.5$, we find a size-invariant symmetrical cooperation effect. While generally suppressing cooperation for $r>0.5$ payoffs, rewired networks facilitated cooperative behavior for $r<0.5$. Fair amounts of noise were found to break the observed symmetry and further weaken cooperation at relatively large values of $r$. However, in the absence of noise, the self-questioning mechanism recovers symmetrical behavior and elevates altruism even under large-reward conditions. Our results suggest that an updating mechanism of this type is necessary to stabilize cooperation in a spatially structured environment which is otherwise detrimental to cooperative behavior, especially at high cost-to-benefit ratios. Additionally, we employ component and local stability analyses to better understand the nature of the manifested dynamics.

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Tian Qiu, Tarik Hadzibeganovic, Guang Chen, Li-Xin Zhong, Xiao-Run Wu. 2010-06-21. Cooperation in the snowdrift game on directed small-world networks under self-questioning and noisy conditions. https://doi.org/10.1016/j.cpc.2010.08.018

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