Universal scaling for the dilemma strength in evolutionary games

Why would natural selection favor the prevalence of cooperation within the groups of selfish individuals? A fruitful framework to address this question is evolutionary game theory, the essence of which is captured in the so-called social dilemmas. Such dilemmas have sparked the development of a variety of mathematical approaches to assess the conditions under which cooperation evolves. Furthermore, borrowing from statistical physics and network science, the research of the evolutionary game dynamics has been enriched with phenomena such as pattern formation, equilibrium selection, and self-organization. Numerous advances in understanding the evolution of cooperative behavior over the last few decades have recently been distilled into five reciprocity mechanisms: direct reciprocity, indirect reciprocity, kin selection, group selection, and network reciprocity. However, when social viscosity is introduced into a population via any of the reciprocity mechanisms, the existing scaling parameters for the dilemma strength do not yield a unique answer as to how the evolutionary dynamics should unfold. Motivated by this problem, we review the developments that led to the present state of affairs, highlight the accompanying pitfalls, and propose new universal scaling parameters for the dilemma strength. We prove universality by showing that the conditions for an ESS and the expressions for the internal equilibriums in an infinite, well-mixed population subjected to any of the five reciprocity mechanisms depend only on the new scaling parameters. A similar result is shown to hold for the fixation probability of the different strategies in a finite, well-mixed population. Furthermore, by means of numerical simulations, the same scaling parameters are shown to be effective even if the evolution of cooperation is considered on the spatial networks (with the exception of highly heterogeneous setups). We close the discussion by suggesting promising directions for future research including (i) how to handle the dilemma strength in the context of co-evolution and (ii) where to seek opportunities for applying the game theoretical approach with meaningful impact.     

微秒脉冲下极性效应对碳酸丙烯酯击穿场强的影响

通过对比碳酸丙烯酯在针板电极间距分别为0.5、1.0和2.0 mm下的击穿电压大小的实验,研究碳酸丙烯酯的极性效应.实验设备包含一个充电时间在5～20毫秒的电容储能型脉冲型脉冲功率源和一个内置针板电极的击穿试件. 每一组的击穿电压通过示波器显示记录. 三组不同间距下的击穿实验数据表明碳酸丙烯酯的正电极击穿场强高于负电极击穿场强,并且击穿场强随着电极间距的增大而增 大. 对碳酸丙烯酯针板电极的击穿进行了仿真模拟实验. 基于实验结果对碳酸丙烯酯的极性效应给出了相应的解释.     

Surface arcing of insulators due to bentonite contamination

Impulse, alternating and direct voltage tests together with optical observations have been done under clean and polluted surface conditions with respect to bentonite, which is treated as a pollutant. The insulator materials tested were polymethyl methacrylate and polythene. Bentonite pollution may affect several surface flashover characteristics such as voltage at breakdown and 50% breakdown voltage under negative lightning impulse (1.2/50 μs) and the time to breakdown under wet condition for both negative and positive impulse voltage. There are four types of paths taken by the discharge channels, based on which the degree of degradation of the material surface may vary.     

基于主动式时间反转镜的声呐目标强度测量研究

为提高目标强度测量过程中的抗噪声、混响以及浅海多途干扰性能,从军标文件中的目标强度测量方法以及主动式时间反转镜的基本原理出发,经过研究和推演,发现可将基于单阵元的主动式时间反转镜与相关器结合应用于目标强度测量过程,提出了一种新的目标强度测量方法。该方法利用了主动式时间反转镜的抗多途特性,使得测量具有抗多途的性能;利用噪声与信号的不相关特性,算法结合相关器起到了很好的抗随机噪声效果;混响中的体积混响是随机的,算法具有抗体积混响的性能。论文分别从理论仿真和水池实验验证了算法的有效性和正确性。     

蠕变裂隙扩展与岩石长时强度效应实验研究

本文对岩体强度弱化与裂隙蠕变断裂行为之间基本关系，应用实验手段，从宏观，细观等角度进行了对比研究，得到了裂隙岩体强度弱化与裂隙扩展过程之间的基本关系，为裂隙岩体蠕变稳定性分析提供了实验依据。     

锐缘硬质轮在金属表面的滚动与滑动

在工程应用的很多摩擦对偶中，往往有一方是锐形的，因此，研究锐形滑块的滚动与滑动具有重要的实用意义。以锐缘硬质轮在挤压铝和软钢两种平面试样表面的滚动和滑动为研究对象，考察了两种摩擦过程中材料的受力状况和变形状况，结果表明，要在同种金属试样表面造成相同宽度的槽痕，滚动法所需要的垂直负荷比滑动法所需要的大，然而滚动法所需要的切向牵引力却比滑动法所需要的小．对两种摩擦过程中界面上的应力与材料的强度性能之关系的分析讨论指出，滚动试验中接触界面上的正应力相应于变形材料的屈服应力，因而滚动试验可以作为材料硬度的一种测量方法；滑动试验中接触界面上的剪应力相应于变形材料的流动剪应力；但滚动试验中界面剪应力与材料的流动剪应力之间，以及滑动试验中界面正应力与材料的屈服应力之间却都没有直线关系．     

纤维树脂界面剪切强度及纤维强度分布参数的实验测定

界面剪切强度及纤维强度分布参数是复合材料设计及应用研究中的重要参数，本文采用单纤维段埋入法测定了上述两个参数。通过实验研究说明了单纤维段埋入法是一种测定界面剪切强度及纤维强度分布参数的有效的实验方法；同时证实了基体的力学性能对界面剪切强度有着重要的影响。全部实验在自制的实验系统上完成     

用试验室尺寸的试样预测混凝土及岩石结构的准脆性断裂

0Introduction Thefracturepropertiesofconcreteandrockmaterials,suchasfracturetoughnessKICand strengthfthavebeenofgreatinterestsformanyyearsbecauseoftheirimportantroleincontrolling thestructuralintegrityofvariousengineeringstructures[1-27].Varioustestingtec…     

拉压性能不同材料的几种结构的极限分析

给出了拉压性能不同材料（简称具有Ｓ－Ｄ效应的材料）的几种结构的极限载荷公式。揭示出材料的拉压性能不同对几种结构承载能力的影响规律。所给出的极限载荷公式可供工程设计人员参考。     

纵向焊接铝合金梁承载力研究

大多数结构用铝合金通常要经过热处理或加工硬化以得到更高的力学性能.这种合金焊接后,焊接热会使焊缝附近局部区域(称为热影响区HAZ)强度降低.这一特点使得焊接铝合金梁构件极限承载力的研究与焊接钢梁构件相比变得更为复杂.由于我国目前还没有关于铝合金结构的设计规范,为此本文对两种典型的纵向焊接工字型截面铝合金梁构件进行了试验研究,并在参考国外规范的基础上,提出了适用于静力设计的纵向焊接铝合金梁设计公式的建议.通过对试验构件进行数值分析,验证了有限元分析焊接梁的可靠性.在此基础上进行了大量的数值分析,并将试验结果及有限元计算结果与公式计算结果进行了比较,可以看出建议公式计算结果富有较大安全度,从而验证了其适用性,为我国《铝合金结构设计规范》的编制提供了依据和参考.