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Self-organizing Complex Networks: individual versus global rules

机译:自组织复杂网络:个人规则与全局规则

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We introduce a form of Self-Organized Criticality (SOC) inspired by the new generation of evolutionary game theory , which ranges from physiology to sociology. The single individuals are the nodes of a composite network, equivalent to two interacting subnetworks, one leading to strategy choices made by the individuals under the influence of the choices of their nearest neighbors and the other measuring the Prisoner's Dilemma Game payoffs of these choices. The interaction between the two networks is established by making the imitation strength K increase or decrease according to whether the last two payoffs increase or decrease upon increasing or decreasing K . Although each of these imitation strengths is selected selfishly, and independently of the others as well, the social system spontaneously evolves toward the state of cooperation. Criticality is signaled by temporal complexity, namely the occurrence of non-Poisson renewal events, the time intervals between two consecutive crucial events being given by an inverse power law index μ = 1.3 rather than by avalanches with an inverse power law distribution as in the original form of SOC. This new phenomenon is herein labeled self-organized temporal criticality (SOTC). We compare this bottom-up self-organization process to the adoption of a global choice rule based on assigning to all the units the same value K , with the time evolution of common K being determined by consciousness of the social benefit, a top-down process implying the action of a leader. In this case self-organization is impeded by large intensity fluctuations and the global social benefit turns out to be much weaker. We conclude that the SOTC model fits the requests of a manifesto recently proposed by a number of European social scientists.
机译:我们介绍了一种自组织临界(SOC)形式,其灵感来自新一代的进化博弈论,其范围从生理学到社会学。单个个体是一个复合网络的节点,相当于两个相互作用的子网络,一个导致个体在其最近邻居的选择的影响下做出策略选择,另一个导致这些选择的囚徒困境博弈收益。通过根据模仿的强度K的增加或减少来建立两个网络之间的相互作用,这取决于最后两个收益是随着K的增加还是减少而增加或减少。尽管这些模仿力量中的每一个都是自私地选择的,并且也独立于其他力量,但是社会制度会自发地朝合作状态发展。临界性是通过时间复杂性来表示的,即发生非泊松更新事件,两次连续的临界事件之间的时间间隔由逆幂定律指数μ= 1.3给出,而不是像原始的那样由逆幂定律分布的雪崩给出SOC形式。此新现象在本文中标记为自组织时间临界性(SOTC)。我们将这种自下而上的自组织过程与采用全局选择规则进行比较,该规则基于为所有单位分配相同的值K,而共同K的时间演变取决于社会效益的意识,自上而下暗示领导者行动的过程。在这种情况下,自组织会受到较大的强度波动的阻碍,而全球社会效益却大大减弱。我们得出的结论是,SOTC模型符合许多欧洲社会科学家最近提出的宣言的要求。

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