发帖
雷达卡
摘要翻译：
由空间嵌入和更一般的互动网络（如模型社会网络）所诱导的种群结构对进化博弈的动态和结果具有根本影响。然而，事实证明，这些影响对底层拓扑和动态的细节很敏感。这里我们介绍了一个最小种群结构，它由两个不同的相互作用层次描述。我们相信这个模型能够识别空间结构的影响，而不依赖于拓扑结构的细节。我们从基本的个体水平随机过程出发，通过两个连续的meanfield近似，导出了控制系统演化的动力学。在我们的种群结构模型中，相互作用的拓扑结构仅由两个参数描述：局部尺度下的有效种群规模和局部动力学对全局混合的相对强度。例如，我们证明了当收益成本比小于局部种群规模时，在具有层次非结构混合的种群中，存在一个导致合作占优势的连续转移。将我们的空间结构模型应用到重复的囚徒困境中，我们揭示了一种新颖的、违反直觉的机制，通过这种机制，不断涌入的叛逃者维持了合作。进一步探索重复囚徒困境和“岩石-纸-剪刀”博弈的相空间，我们发现丰富结构的迹象，并能够复制在其他显式空间嵌入模型中观察到的几种效应，如生物多样性的维持和全球振荡的出现。
---
英文标题：
《Evolutionary games on minimally structured populations》
---
作者：
Gergely J Szollosi and Imre Derenyi
---
最新提交年份：
2008
---
分类信息：
一级分类：Quantitative Biology 数量生物学
二级分类：Populations and Evolution 种群与进化
分类描述：Population dynamics, spatio-temporal and epidemiological models, dynamic speciation, co-evolution, biodiversity, foodwebs, aging; molecular evolution and phylogeny; directed evolution; origin of life
种群动力学；时空和流行病学模型；动态物种形成；协同进化；生物多样性；食物网；老龄化；分子进化和系统发育；定向进化；生命起源
--
一级分类：Quantitative Biology 数量生物学
二级分类：Other Quantitative Biology 其他定量生物学
分类描述：Work in quantitative biology that does not fit into the other q-bio classifications
不适合其他q-bio分类的定量生物学工作
--
---
英文摘要：
Population structure induced by both spatial embedding and more general networks of interaction, such as model social networks, have been shown to have a fundamental effect on the dynamics and outcome of evolutionary games. These effects have, however, proved to be sensitive to the details of the underlying topology and dynamics. Here we introduce a minimal population structure that is described by two distinct hierarchical levels of interaction. We believe this model is able to identify effects of spatial structure that do not depend on the details of the topology. We derive the dynamics governing the evolution of a system starting from fundamental individual level stochastic processes through two successive meanfield approximations. In our model of population structure the topology of interactions is described by only two parameters: the effective population size at the local scale and the relative strength of local dynamics to global mixing. We demonstrate, for example, the existence of a continuous transition leading to the dominance of cooperation in populations with hierarchical levels of unstructured mixing as the benefit to cost ratio becomes smaller then the local population size. Applying our model of spatial structure to the repeated prisoner's dilemma we uncover a novel and counterintuitive mechanism by which the constant influx of defectors sustains cooperation. Further exploring the phase space of the repeated prisoner's dilemma and also of the "rock-paper-scissor" game we find indications of rich structure and are able to reproduce several effects observed in other models with explicit spatial embedding, such as the maintenance of biodiversity and the emergence of global oscillations.
---
PDF链接：
https://arxiv.org/pdf/0704.0357
京公网安备 11010802022788号
