We study the emergence of cooperation in large spatial public goods games. Without employing severe social-pressure against "defectors", or alternatively, significantly rewarding "cooperators", theoretical models typically predict a system collapse in a way that is reminiscent of the "tragedy-of-the-commons" metaphor. Drawing on a dynamic network model, this paper demonstrates how cooperation can emerge when the social-pressure is mild. This is achieved with the aid of an additional behavior called "hypocritical", which appears to be cooperative from the external observer's perspective but in fact hardly contributes to the social-welfare. Our model assumes that social-pressure is induced over both defectors and hypocritical players, but the extent of which may differ. Our main result indicates that the emergence of cooperation highly depends on the extent of social-pressure applied against hypocritical players. Setting it to be at some intermediate range below the one employed against defectors allows a system composed almost exclusively of defectors to transform into a fully cooperative one quickly. Conversely, when the social-pressure against hypocritical players is either too low or too high, the system remains locked in a degenerate configuration.
翻译:我们研究的是大型空间公共商品游戏中合作的出现。 在不对“缺陷者”或对“腐败者”使用严重的社会压力的情况下,或者相反,不给“腐败者”带来显著回报的情况下,理论模型通常预测系统崩溃,其方式与“共产主义”的隐喻相仿。 借助动态网络模型,本文展示了在社会压力温和时合作如何出现。 借助于一种叫作“虚伪”的附加行为(从外部观察者的角度看,这似乎是合作性的,但实际上几乎无助于社会福利。 我们的模型假设是,社会压力是诱发给叛逆者和虚伪玩家的,但程度可能有所不同。 我们的主要结果显示,合作的出现高度取决于对虚伪玩家施加的社会压力的程度。 将合作设在对叛逆者所使用的一种中等范围之下,使得几乎完全由叛逆者组成的系统能够迅速转变为一个完全合作的系统。 相反,当社会压力对虚伪玩家来说要么太低,要么太高,要么太高,但系统仍然被锁定在一个畸形的配置中。