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Evolutionary games on scale-free networks with a preferential selection mechanism

机译：具有优先选择机制的无标度网络上的进化游戏

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摘要

Considering the heterogeneity of individuals' influence in the real world, we introduce a preferential selection mechanism to evolutionary games (the Prisoner's Dilemma Game and the Snowdrift Game) on scale-free networks and focus on the cooperative behavior of the system. In every step, each agent chooses an individual from all its neighbors with a probability proportional to k(alpha) indicating the influence of the neighbor, where k is the degree. Simulation results show that the cooperation level has a non-trivial dependence on alpha. To understand the effect of preferential selection mechanism oil the evolution of the system, we investigate the time series of the cooperator frequency in detail. It is found that the cooperator frequency is greatly influenced by the initial strategy of hub nodes when alpha > 0. This observation is confirmed by investigating the system behavior when some hub nodes' strategies are fixed.
机译：考虑到个人在现实世界中影响力的异质性，我们为无标度网络上的演化游戏（囚徒困境游戏和雪堆游戏）引入了一种优先选择机制，并着眼于系统的协作行为。在每个步骤中，每个代理都从其所有邻居中选择一个个体，该概率与指示邻居影响的k（α）成正比，其中k是度。仿真结果表明，合作程度对alpha的依赖程度不低。为了了解优先选择机制对系统发展的影响，我们详细研究了合作者频率的时间序列。发现当α> 0时，合作者频率受集线器节点初始策略的影响很大。通过观察某些集线器节点的策略固定时的系统行为，可以确认此观察结果。

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