Evolutionary Games on Weighted Newman-Watts Small-World Networks

We investigate the evolutionary prisoner＇s dilemma game （PDG） on weighted Newman-Watts （NW） networks. In weighted NW networks, the link weight ωij is assigned to the link between the nodes i and j as： ωij = （ki · kj）^β, where ki（kj） is the degree of node i（j） and β represents the strength of the correlations. Obviously, the link weight can be tuned by only one parameter β. We focus on the cooperative behavior and wealth distribution in the system. Simulation results show that the cooperator frequency is promoted by a large range of β and there is a minimal cooperation frequency around β = -1. Moreover, we also employ the Gini coefficient to study the wealth distribution in the population. Numerical results show that the Gini coefficient reaches its minimum when β≈ -1. Our work may be helpful in understanding the emergence of cooperation and unequal wealth distribution in society.     

冰雪颗粒3D打印的材料填充算法

北京冬奥会的召开,必将激发中国冰雪运动的发展,冰雪景观建造和修补的需求也会扩大,为解放人力而提出了冰雪3D打印机器人的研究课题,针对冰的物理特性,提出颗粒材料的3D打印方法。采用六方紧密堆积的规律,对颗粒的填充规划算法进行了研究。读取STL模型文件数据,研究了三角面片和切平面的匹配方法,提出采用黄金分割的匹配计算方法。针对分层后轮廓的颗粒填充问题,提出采用平面颗粒填充网格模板与轮廓曲线进行比较筛选的规划方法。计算实例证明：黄金分割查找实现三角面片与切平面匹配比二分法具有更高的效率;这种颗粒材料填充规划算法对复杂的实体造型均有效。     

Evolutionary prisoner’s dilemma on Newman-Watts social networks with an asymmetric payoff distribution mechanism

In this paper, we introduce an asymmetric payoff distribution mechanism into the evolutionary prisoner's dilemma game (PDG) on Newman--Watts social networks, and study its effects on the evolution of cooperation. The asymmetric payoff distribution mechanism can be adjusted by the parameter α: if α>0, the rich will exploit the poor to get richer; if α<0, the rich are forced to offer part of their income to the poor. Numerical results show that the cooperator frequency monotonously increases with α and is remarkably promoted when α>0. The effects of updating order and self-interaction are also investigated. The co-action of random updating and self-interaction can induce the highest cooperation level. Moreover, we employ the Gini coefficient to investigate the effect of asymmetric payoff distribution on the the system's wealth distribution. This work may be helpful for understanding cooperative behaviour and wealth inequality in society.