Abstract Extortion strategies, which can unilaterally guarantee the extortionate agent’s payoff not less than its opponent, have attracted lots of attention. It has been found that extortion plays a nontrivial role in the evolution of unconditional cooperation in networked systems. In this paper, we investigate the influence of timescale diversity on the evolution of three strategies, i.e., unconditional cooperation, unconditional defection, and extortion. It is shown that diversifying the timescales can significantly promote the emergence of unconditional cooperation. Particularly, with the diversity of timescales, cooperators can slow down their update speed while obtaining high payoffs. Therefore, they are able to form stable alliances with extortioners, which helps them to resist the invasion of defectors. Eventually, the cooperation-extortion alliance can eliminate defection in the networked system.

中文翻译：

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时间尺度多样性促进了网络系统中合作-勒索联盟的出现

摘要 勒索策略能够单方面保证被勒索者的收益不低于其对手，受到了广泛的关注。已经发现，勒索在网络系统中无条件合作的演变中起着重要作用。在本文中，我们研究了时间尺度多样性对三种策略演化的影响，即无条件合作、无条件背叛和勒索。结果表明，时间尺度的多样化可以显着促进无条件合作的出现。特别是随着时间尺度的多样性，合作者可以在获得高回报的同时放慢更新速度。因此，他们能够与勒索者结成稳定的联盟，这有助于他们抵抗叛逃者的入侵。最终，